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 R&I R 7/2008 Per Hjalmar Lehne, Frode Bøhagen OFDM(A) for wireless communication

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R&I R 7/2008Per Hjalmar Lehne, Frode Bøhagen

OFDM(A) for wireless

communication

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  OFDM(A) for wireless communication

Telenor R&I R 7/2008

R&I Research Report R 7/2008

Title OFDM(A) for wireless communication

Author(s) Per Hjalmar Lehne, Frode Bøhagen

ISBN / ISSN 82-423-0614-1 / 1500-2616

Security group OPEN

Date 2008.04.25

AbstractThis report is a tutorial on Orthogonal Frequency Division Multiplex  (OFDM) and

Orthogonal Frequency Division Multiple Access (OFDMA). OFDMA is the majortransmission and access technology for future mobile broadband systems like MobileWiMAX and 3GPP Long Term Evolution (LTE).

One of the key features of OFDM and OFDMA is the ability to handle multipath

propagation without complex receivers. The use of simple and cost-efficient Fast FourierTransform (FFT) techniques makes it easily scalable with respect to bandwidth. The

main drawback is that the signal has high amplitude variability, high so-called Peak-to- Average-Power Ratio (PAPR), which typically reduces the efficiency of the transmitterpower amplifiers. The two major standards for mobile broadband, namely Mobile WiMAXand 3GPP LTE are very similar in the design targets and the solutions are comparable.From a technical and performance point of view they seem to be quite equal.

Radio planning of OFDMA networks is more equal to GSM planning than WCDMA,because intra-cell interference is basically eliminated due to the orthogonality property.

Scalable OFDMA opens up new ideas on frequency reuse, in that the reuse factor can be

between 1 and 3 (or more) on a fractional basis. Furthermore, different cell capacitiescan be tuned cooperatively, e.g. by moving capacity from one cell to another dependenton time of day.

KeywordsOFDM, OFDMA, Wireless, Mobile, 4G, WiMAX, E-UTRA, LTE

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  OFDM(A) for wireless communication

Telenor R&I R 7/2008

© Telenor ASA 2008.04.25

All rights reserved. No part of this publication may be reproduced or utilized inany form or by any means, electronic or mechanical, including photocopying,

recording, or by any information storage and retrieval system, withoutpermission in writing from the publisher.

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Preface

This report is the result of a technology study performed in 2007. The aim ofthe study has been to develop the competence in Telenor R&I on the multiple

access scheme OFDMA. OFDMA is the transmission and access technology to beused in future mobile broadband systems like Mobile WiMAX and 3GPP LongTerm Evolution.

The study was finalized with an internal workshop arranged on 23 January2008.

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  OFDM(A) for wireless communication

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Contents

1  Introduction.......................................................... 1 

2  Introduction to OFDM ........................................... 2 2.1  OFDM basic concept ................................................................. 3 2.1.1  Orthogonality principle .............................................................4 2.1.2  Instantaneous power variations ................................................. 7 2.1.3  Wireless channel influence ...................................................... 10 2.1.4  Signal detection and demodulation........................................... 13 2.2  Choosing the OFDM parameters............................................... 13 2.2.1  Sub-carrier spacing and symbol time........................................ 14 2.2.2  Number of sub-carriers........................................................... 15 

2.2.3  Cyclic prefix length ................................................................ 15 2.2.4  Pulse shaping and windowing functions..................................... 16 

3  Multi-user communications – OFDMA.................. 18 3.1  Sub-carrier allocation techniques ............................................. 18 3.1.1  Consecutive (localized) frequency mapping ............................... 18 3.1.2  Distributed frequency mapping ................................................ 19 3.1.3  Channel dependent scheduling ................................................ 20 3.2  Synchronization aspects ......................................................... 20 3.3  DFT-spread OFDMA (SC-FDMA) ............................................... 21 

4  Wireless standards based on OFDM(A) ............... 24 4.1  3GPP Evolved UTRA (Long Term Evolution)................................ 24 4.1.1  Radio resource definitions ....................................................... 25 4.1.2  Modulation and coding............................................................ 28 4.1.3  Multi-antenna support ............................................................ 28 4.1.4  Downlink scheduling and reference signals ................................ 29 4.1.5  Uplink scheduling and reference signals .................................... 30 4.2  Mobile WiMAX ....................................................................... 31 4.2.1  Radio resource definitions – sub-channelization.......................... 32 4.2.2  Diversity permutations ........................................................... 33 4.2.3  Contiguous permutation ......................................................... 36 4.2.4  Permutation schemes summary ............................................... 37 4.2.5  Modulation and coding............................................................ 37 

4.2.6  Multi-antenna support ............................................................ 38 4.2.7  Frame Structure .................................................................... 38 4.3  E-UTRA vs. Mobile WiMAX – summary ...................................... 40 4.4  Other OFDM and OFDMA based standards ................................. 41 4.4.1  Mobile WiMAX Release 2 – IEEE 802.16m.................................. 41 4.4.2  3GPP2 Ultra Mobile Broadband (UMB)....................................... 41 4.4.3  Wi-Fi and WLAN 802.11a-g-n .................................................. 42 4.4.4  WPAN 802.15.3a Multi Band OFDM........................................... 42 4.4.5  Digital terrestrial video broadcast – DVB-T/H............................. 43 

5  OFDMA radio planning......................................... 44 5.1  Frequency reuse.................................................................... 45 

5.1.1  Frequency reuse 1 ................................................................. 46 5.1.2  Frequency reuse 3 ................................................................. 46 

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5.1.3  Fractional frequency reuse ......................................................47 5.2  OFDMA link budgets ...............................................................48 

6  Conclusions .........................................................50 

References ..................................................................52 

Annex 1. Abbreviations ...............................................54 

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1  Introduction

Orthogonal Frequency Division Multiplex  (OFDM) is a multi carrier transmissiontechnology which was first described by R. W. Chang in 1966 at Bell Labs. The

first patent was granted in 1970 (US patent 3488445). Later, M. Fattouche andH. Zaghloul described how the OFDM concept can be used to provide multipleaccess between different transceivers (US patent 5282222, granted in 1994).This was the first description of Orthogonal Frequency Division Multiple Access (OFDMA).

The first OFDM based wireless standard was probably the Eureka Digital AudioBroadcast  (DAB) standard for audio broadcasting which was released in 1995.Two years later, in 1997, the standard for terrestrial digital television, i.e. DVB-T, was published.

OFDM and OFDMA is now becoming the major transmission and accesstechnology for future mobile broadband systems. Mobile WiMAX is already

available, and 3GPP has left WCDMA in favour of OFDMA for the next generationstandard Evolved UTRA, often referred to as Long Term Evolution (LTE).

This report is a tutorial on OFDM and OFDMA, and is organized in four chapters.First, in Chapter 2 we introduce OFDM transmission, and define and discuss allmajor parameters. In Chapter 3 we explain how the OFDM concept can be

augmented to comprise multiple access as OFDMA. Chapter 4 deals with themajor standards using OFDMA. The weight has been put on Mobile WiMAX and

3GPP E-UTRA, but a brief description of other OFDM(A) based standards is alsoincluded. Finally, in Chapter 5 radio planning for an OFDMA network isdiscussed and compared with current knowledge from 2G (GSM) and 3G

(WCDMA) planning. Some examples of link budget calculations are alsopresented.

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2  Introduction to OFDM

Orthogonal Frequency Division Multiplexing (OFDM) is a multi-carriermodulation scheme that transmits data over a number of orthogonal sub-

carriers. A conventional transmission uses only a single carrier modulated withall the data to be sent. OFDM breaks the data to be sent into small chunks,allocating each sub-data stream to a sub-carrier and the data is sent in parallelorthogonal sub-carriers. As illustrated in Figure 1, this can be compared with atransport company utilizing several smaller trucks (multi-carrier) instead of onelarge truck (single carrier).

Figure 1 Single carrier vs. multi-carrier transmission

OFDM is actually a special case of Frequency Division Multiplexing (FDM). Ingeneral, for FDM, there is no special relationship between the carrierfrequencies, f 1, f 2 and f 3. Guard bands have to be inserted to avoid AdjacentChannel Interference (ACI). For OFDM on the other hand, there must be a strictrelation between the frequency of the sub-carriers, i.e. f n = f 1 + n⋅Δf  where Δf  =

1/T U  and T U  is the symbol time. Carriers are orthogonal to each other and canbe packed tight as shown in Figure 2.

Single Carrier

Multi Carrier

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f 1   f 2   f 3

f 1   f 2   f 3

Channel

bandwidth   Guard bandIndividual channels

Channel

bandwidth  Individual sub-channels

Frequency

Bandwidthsaving

Bandwidthsaving

Frequency

FDM

OFDM

 

Figure 2 FDM vs. OFDM

Splitting the channel into narrowband channels enables significant simplification

of equalizer design in multipath environments. Flexible bandwidths are enabledthrough scalable number of sub-carriers.

Effective implementation is further possible by applying the Fast FourierTransform (FFT). Dividing the channel into parallel narrowband sub-channels

makes coding over the frequency band possible (COFDM). Moreover, it ispossible to exploit both time and frequency domain variations, i.e. time and

frequency domain adaptation.

2.1 OFDM basic concept

A baseband OFDM transmission model is shown in Figure 3. It basically consists

of a transmitter (modulator, multiplexer and transmitter), the wireless channel,and a receiver (demodulator).

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channel

 

Figure 3 Basic baseband OFDM transmission model

In Figure 3, a bank of modulators and correlators is used to describe the basicprinciples of OFDM modulation and demodulation. This is not practicallyfeasible, and the specific choice of sub-carrier spacing being equal to the percarrier symbol rate 1/T U  makes a simple and low complexity implementationusing Fast Fourier Transform (FFT) processing possible as shown in Figure 4.For more details on the FFT implementation we refer to [Nee00].

channel

 

Figure 4 Transmitter and receiver by using FFT processing

In the consecutive subsections we will discuss the most important properties of

the OFDM transmitter (Section 2.1.1), OFDM signal properties (Section 2.1.2),the OFDM channel (Section 2.1.3), and the OFDM receiver (Section 2.1.4)

2.1.1 Orthogonality principle

The essential property of the OFDM signal is the orthogonality between the sub-carriers. Orthogonal means “perpendicular”, or at “right angle”.

Two functions, x q(t ) and x k (t ), are orthogonal over an interval [a, b] if the innerproduct between them is zero for all q and k , except for the case that q = k , i.e.when x q(t ) and x k (t ) are the same function. Mathematically this can be writtenas:

⎩⎨⎧

==⋅=

∫   qk 

qk dt t  xt  x x x

U b

a

k qk q

,0

,1)()(,   (1)

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If we look at receiver branch k  in Figure 3, the output of the integrator can beexpressed as follows:

( )

⎩⎨⎧

===

⋅⎟

 ⎠

 ⎞

⎝ 

⎛ ⋅=⋅

∫∑∫ ∫  ∑

−−

=

Δ−−

=

ΔΔ−

qk 

qk adt e

a

dt eeaT 

dt et r T 

T t 

T k q j N 

q   U 

q

T T 

 ft k  j

 N 

q

 ft q j

qU 

 ft k  j

U U  C 

,0

,

1)(

1

0

121

0

0 0

21

0

22

π 

π π π 

  (2)

In this example we assume no noise or multipath degradation of the signal(ideal channel). We see that the last integral satisfies the orthogonalitydefinition. Consequently, the harmonic exponential functions (sine wavecarriers) with frequency separation Δf  = 1/T U  are orthogonal.

This property gives optimum spectrum utilization and makes it possible toseparate the sub-carriers in the receiver. Figure 5 is an attempt to illustrate

how the orthogonality works in the time domain, if e.g. x q is the received sub-carrier, and x k  represents the local oscillator as shown in Figure 3. When

integrating received power over one symbol period, T U , the output of thecorrelators is zero for any combination, except when k  = q.

When the sub-carriers are modulated with a rectangular pulse the sub-carrierspectrum becomes as shown in Figure 6. This implies that in the frequencydomain, the power of sub-carriers approaches zero at the centre frequency ofthe neighbouring sub-carriers as shown in Figure 7. The figure shows the power

spectrum of the individual sub-carriers of an OFDM spectrum.

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0 0.2 0.4 0.6 0.8 1-1.5

-1

-0.5

0

0.5

1

1.5xq, q=6

0 0.2 0.4 0.6 0.8 1-1.5

-1

-0.5

0

0.5

1

1.5xq . xq*

0 0.2 0.4 0.6 0.8 1-1.5

-1

-0.5

0

0.5

1

1.5xk, k=7

0 0.2 0.4 0.6 0.8 1-1.5

-1

-0.5

0

0.5

1

1.5xq . xk*

 

Figure 5 Orthogonality principle in the time domain. Leftmost graphs show theinput signal shapes over one symbol period. The rightmost graphs show the

integrand in the case of equal signal (upper) and orthogonal signal (lower). It iseasily seen that the total area under the curve when q = k is positive, while it

sums up to zero over one symbol period when the frequencies are different and

spaced 1/T U  apart

Figure 6 Time and frequency domain representation of the baseband signal

Time domain

Frequency domain

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Figure 7 Power spectrum of orthogonal sub-carriers

A real OFDM power spectrum will not look like the one in Figure 7, because a

power based measurement cannot distinguish the separate sub-carriers. Figure8 shows a field measurement of a mobile WiMAX spectrum with a bandwidth of

5 MHz. The signal consists of 360 active sub-carriers. The FFT-size is 512. Theamplitude variations are due to frequency selective fading caused by multipathtransmissions. This is treated in section 2.1.3.

Figure 8 Field measurement of an OFDM spectrum (WiMAX) in a LOSenvironment

2.1.2 Instantaneous power variations

An OFDM signal consists of a number of independently modulated symbols.

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( )∑−

=

Δπ⋅=1 N

0k 

tf k 2 j

c

ea)t(x   (3)

Adding carriers with different frequencies and modulation gives large amplitude

variations. This is the Peak Power Problem of OFDM. It can be shown that themaximum value of the Peak to Average Power Ratio (PAPR) is the same as the

number of sub-carriers:

C  N PAPR   =max   (4)

Figure 9 shows a simulated waveform of an OFDM-signal with 8 sub-carriersand BPSK modulation. The expanded part of the graph shows that theamplitude variations are large and that the maximum value of the sum can beas high as 8.

Figure 9 Amplitude variations in an OFDM signal. Example is 8 sub-carriers

and BPSK modulation

A large PAPR is negative for the power amplifier efficiency since a backoff isneeded to avoid amplitude distortion and the following harmonic frequencies.

Figure 10 shows a typical input-output characteristic of a power amplifier. Inorder to avoid or limit signal distortion input signals must be kept below the

non-linear area. The consequence is that the amplifier is not fully utilized.

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Figure 10 Typical input-output characteristics of a power amplifier showing therelation between output backoff (OBO) and input backoff (IBO)

Different measures to avoid large PAPRs are used and are classified in threemajor techniques:

•  Signal distortion techniques

o  Clipping (signal distortion, out of band radiation, window)

o  Peak windowing (reduce the out of band radiation)

o  Peak cancellation (linear, can avoid out of band radiation)

•  Coding techniques

o  Special FEC codes that excludes OFDM symbols with a large PAPR

(decreasing the desired PAPR this way may decrease achievablecoding gain).

o  Tone reservation is another coding technique where a subset ofOFDM sub-carriers are not used for data transmission but insteadare modulated to suppress the largest peaks of the overall OFDMsignal.

o  Pre-filtering or pre-coding, linear processing applied to the OFDM-symbols before OFDM modulation.

•  Scrambling techniques

o  Different scrambling sequences are applied, and the one resultingin the smallest PAPR is chosen

P IN

P OUT

IBO

 AM/AM characteristic

OBO

 Average Peak

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PAPR reduction techniques applied to different wireless standards must partlybe described in the standards, as e.g. coding and scrambling. Signal distortiontechniques however can be a pure implementation aspect, but the use of such

usually means a reduced BER performance in the receiver.

No special technique seems to be specified in WiMAX, but in E-UTRA the uplinktransmission is based on a linear pre-coding technique called DFT-spreadOFDM, which effectively reduces the PAPR with 2-3 dB [Dahl07] [Myu06b]. Thisis detailed a bit more in section 3.3.

2.1.3 Wireless channel influence

A wireless channel introduces impairments to the signal, mainly due tomultipath transmission as shown in Figure 11.

Figure 11 The multipath channel

Figure 12 (left) shows a measured channel impulse response, both the direct

path signal and the reflected (echoed) signals. In addition, Figure 12 (right)illustrates a simplification of the impulse response.

Figure 12 Multipath channel impulse response. Left: measured. Right:simplified two ray model

∑−

=

−=1

0

)()(

k k    t t h   τ δ  α 

],[ 00   τ α 

],[ 11  τ α 

Diffracted and Refracted Path

Reflected Path

LOS Path

],[ k k   τ α 

Time[ τ  ]

 Amplitude[ α  ]

τ   τ τ2

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The consequence of multipath propagation is that time dispersion is introducedin the signal. Figure 13 illustrates the effect in the time domain and how a cyclic

 prefix  (CP) may be used to mitigate the effect. Time-adjacent symbols start to

overlap and inter-symbol-interference (ISI) is introduced (Figure 13a). In

Figure 13b the symbol is prolonged by adding a guard time between thesymbols, but just adding an “empty” guard time destroys the orthogonality andintroduces inter-carrier interference (ICI). In order to avoid this and thus to

maintain the orthogonality, the prefix is made cyclic by taking a copy of the lastpart of the symbol and put it in front (Figure 13c). The prefix time must belonger than the longest excess delay which can occur in the channel.

Figure 13 Time dispersion due to multipath propagation and the method ofcyclic prefix insertion

Due to the large bandwidth of an OFDM signal, the multipath effect is frequencydependent and results in frequency selective fading as shown in Figure 14.

c) The prefix is made cyclic to avoid inter-carrier-interference (ICI)(maintain orthogonality)

a) Multipath introduces inter-symbol-interference (ISI) 

b) Prefix is added to avoid ISI

T T C 

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Figure 14 Frequency selective fading of an OFDM signal

Figure 15 shows a measured OFDM spectrum (mobile WiMAX, 5 MHz) in anNLOS scenario. A strong multipath component is causing severe frequencyselective fading.

Figure 15 Measured OFDM-spectrum in an NLOS scenario showing howmultipath reflections cause severe frequency selective fading

Coding should be performed over several uncorrelated carriers to utilize thefrequency diversity (frequency interleaving). It is equivalent to coding in timedomain to achieve time diversity (time interleaving). Often we will see the termCoded OFDM  (COFDM) used in this respect. Especially the digital terrestrialbroadcast standards DVB-T and DVB-H use the term COFDM.

In reality, any OFDM and OFDMA based standard uses frequency domain codingto exploit the frequency diversity.

=

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2.1.4 Signal detection and demodulation

Time and frequency properties of the OFDM signal are tightly coupled, and bothmust be properly recovered in the receiver.

When performing timing recovery, the sum of the timing error (Δτ  

 and themaximum excess delay (τmax ), should be within the prefix time. Then, the only

effect is a phase rotation that increases with increasing distance from thecarrier (centre frequency). However, a carrier frequency synchronization error

will introduce phase rotation, amplitude reduction and ICI. Frequency offsets ofup to 2% of Δf  are negligible and even offsets of 5-10% can be tolerated in

many situations.

To help the receiver in performing these tasks, pilot or reference symbols areinserted in the OFDM signal. These are known signal sequences spread out intime and frequency which the receiver can use to recover both time andfrequency references. Additionally, some of these are usually tailored to enablereliable channel estimations. The simplest way is to reserve a number of sub-

carriers to carry reference signals as shown in Figure 16. In this case, the sub-carriers are often called pilot signals. More common is to reserve time/

frequency symbols as shown in Figure 17. In this case, they are not transmittedcontinuously, neither in time nor frequency.

Frequency/subcarrier 

Pilot carriers /reference signals

Data carriers

 

Figure 16 Pilot carriers in an OFDM signal

Figure 17 Time-frequency grid with reference symbols

2.2 Choosing the OFDM parameters

We have now defined and described the important properties of the OFDM-signal, and we shall now discuss the criteria for designing a system based on

OFDM.

Some of the key parameters for the OFDM signal are:

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•  Sub carrier spacing (Δf ) and Symbol time (T U )

•  Number of sub-carriers(N C )

•  The cyclic prefix length (T CP )

•  Pulse shape, or windowing function.

2.2.1 Sub-carrier spacing and symbol time

As we have seen, symbol time and sub-carrier spacing are inverse entities. Two

factors determine the selection of the OFDM sub-carrier spacing, Δf :

•  It is preferable to have as small SC spacing as possible, since this gives

a long symbol period and consequently the relative cyclic prefixoverhead will be minimized.

•  Too small SC spacing increases the sensitivity to Doppler spread and

different kinds of frequency inaccuracies.Doppler spread is typical for mobile systems and the amount is directly limitedby the relative velocity between the mobile and the base station. Frequencyvariations due to Doppler spread leads to losing the orthogonality in thereceiver and ICI occurs. Dependent on the targeted mobility for the system andthe allowed amount of ICI, the sub-carrier distance can be selected. According

to [Dahl07] a normalized Doppler spread (f Doppler  /Δf ) of 10 % leads to a Signalto Interference Ratio (SIR) of 18 dB.

If we want to design a system in the 2 GHz band (λ = 15 cm) supporting

terminal mobility up to v  = 200 km/h (= 55.5 m/s), we get a maximumDoppler frequency of f Doppler  = v  /λ = 370 Hz. If we require an SIR of 30 dB, we

can allow approximately 2.5 % normalized Doppler spread. This gives us a sub-carrier spacing of 14.8 kHz, which is quite close to the choice made in E-UTRA.

This is a very simple example, and in a real design situation there are otherfactors which must be taken into account as well. Some of the effects of varyingthe sub-carrier spacing are shown in Figure 18.

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Figure 18 Effects of changing the sub-carrier spacing

2.2.2 Number of sub-carriersWhen the sub-carrier spacing is determined, the available bandwidthdetermines the number of sub-carriers, N C , to be used. The basic bandwidth of

an OFDM signal is N C ⋅Δf . However, the frequency spectrum of a basic OFDMsignal falls off very slowly outside the basic bandwidth, and lower and upperguard bands must be inserted. By applying pulse shaping or windowing, theout-of-band emissions can be reduced. In practice, typically 10 % guard band isneeded [Dahl07], implying that of a spectrum allocation of 5 MHz, 4.5 MHz is

usable. For the E-UTRA with 15 kHz sub-carrier spacing this means thatapproximately 300 sub-carriers can be exploited in a 5 MHz channel. For WiMAX

with 10.94 kHz sub-carrier spacing, 400 sub-carriers can be used.

2.2.3 Cyclic prefix length

The cyclic prefix  (CP) length, T cp, should cover the maximum length of the time

dispersion. Increasing T cp without decreasing Δf  implies increased overhead inpower and bandwidth.

Too short CP gives ISI. On the other hand, increasing the relative length of theCP leads to increased power loss. Thus, choosing T cp is a trade-off betweenpower loss and time dispersion.

The maximum time dispersion experienced depends on the radio channel andits multipath properties as discussed earlier in section 2.1.3. If for example wetarget our system for ranges up to 10 km, an excess delay of reflected anddiffracted signals corresponding to Δs = 2 km is easily encountered. The excess

delay is then Δt  = Δs /c  = 6.7 μs, which could be used as the value for the CP.

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In a real channel, the power delay profile (PDP) often follows an exponentialdecay function, and our design criteria will be the amount of remaining energyin the tail of the PDP which is tolerated to interfere with the next symbol (see

Figure 19).

Excess delay

      R    e    c    e      i    v    e      d      i    n    s     t    a    n     t    a    n    o    u    s    p    o    w    e    r

Remaining power 

leaking into next

symbol period

Covered by the CP

 

Figure 19 Channel power delay profile (PDP) and cyclic prefix (CP)

dimensioning

The PDP is dependent on the environment, thus the system must be designed

bearing this in mind. Multipath channel measurements on 900 MHz and 1.7 GHzdone by Telenor R&I in 1990 and 1991 [Løv92] [Ræk95] showed that for urbanareas (downtown Oslo) the delay spread  (DS) in 90 % of the cases were below

0.7 μs, which should be well below the chosen CP lengths of E-UTRA and Mobile

WiMAX (approximately 5 and 10 μs, resp). However for different rural

environments, the DS values could be between 5 and 20 μs in 90 % of thecases. These kinds of environments may be more challenging.

2.2.4 Pulse shaping and windowing functions

As mentioned when discussing the number of sub-carriers to use, the spectrumof a basic OFDM signal falls off very slowly outside the basic bandwidth.

Especially it falls off much slower than for WCDMA. The reason is the use ofrectangular pulse shaping which leads to high side lobe level. An example isshown in Figure 20 for 16, 64 and 256 sub-carriers. For a larger number of sub-carriers the spectrum falls off more rapidly because side lobes are closertogether.

Pulse-shaping or time-domain windowing is then usually employed to suppressmost of the out-of-band emissions. A common technique is to apply a raisedcosine window in time domain. The roll-off factor β is defined as the portion of

the total symbol time T s = T U  + T CP  where the roll-off is taking place, as shownin Figure 21. In [Nee00] it is shown that a roll-off factor β = 2.5 % already

makes a large improvement in the out of band emissions. Larger roll-off ofcourse improves the spectrum further, however at the cost of smaller delay

spread tolerance since the usable part of the symbol gets shorter. The effectiveguard time is reduced by βT s.

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Choice of windowing will be a trade-off between spectral properties and reducedtolerance against delay spread.

Figure 20 Power spectral density without windowing for 16, 64 and 256 sub-carriers [Nee00]

Ts

= TU

+ TCP

TU

TCP

 

Figure 21 OFDM cyclic extension and windowing

It varies whether windowing is actually used in different systems. In e.g.Evolved UTRA and Mobile WiMAX no filtering is specified, while in the 3GPP2standardised Ultra Mobile Broadband  (UMB) a raised cosine filter is defined witha roll-off factor between 2.4 and 2.9 %, dependent on choice of CP length.

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3  Multi-user communications – OFDMA

Multi user communications require multiple access techniques. Generally, any ofthe familiar techniques (TDMA and FDMA) can be employed regardless of the

OFDM-nature of the signal. However, the OFDM properties can also be used formultiple access, i.e. Orthogonal Frequency Division Multiple Access (OFDMA).

OFDM can be used as a multiple access scheme by allowing simultaneous

frequency-separated transmissions to/from multiple mobile terminals as shownin Figure 22.

Figure 22 OFDMA principles. Upper: Consecutive channel multiplexing. Lower:Distributed channel multiplexing

3.1 Sub-carrier allocation techniquesThe allocation of sub-carriers to the different users can be done in basically twodifferent ways:

•  Consecutive (or localized) frequency mapping

•  Distributed frequency mapping

3.1.1 Consecutive (localized) frequency mapping

Localized frequency mapping means that all sub-carriers belonging to the linkbetween one user terminal and the base station are allocated in one contiguous

block. An example is shown in Figure 23. The major drawback with this methodis that it is sensitive to frequency selective fading, see e.g. Figure 15. Whole

blocks can be erased.

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A variant of localized frequency mapping is shown in Figure 24. In this case, thesub-carriers are localized in equal size blocks, and resources allocated to oneuser consist of one or more block. In this way, the system becomes more

robust to frequency selective fading.

Figure 23 Consecutive frequency mapping

Figure 24 Blockwise consecutive frequency mapping

For satisfactory performance, localized frequency mapping should be combinedwith channel dependent scheduling, which is briefly described in section 3.1.3.

In E-UTRA an arbitrary number of sub-blocks of 12 sub-carriers can beallocated on the downlink and scheduled differently every 0.5 ms (see section

4.1.1). In Mobile WiMAX, “Band AMC” is a localized frequency mappingtechnique (see section 4.2.3).

3.1.2 Distributed frequency mapping

At the opposite end of the scale is the fully distributed mapping in which singlesub-carriers belonging to one link are spread across the whole OFDM bandwidth

as shown in Figure 25. It fully exploits the channel’s frequency diversity butputs stronger demands on frequency synchronization.

Figure 25 Distributed frequency mapping

Obviously, this method is much more robust to frequency selective fading. Amethod for re-scheduling resources in the time domain must also be employed.

Distributed mapping is employed in Mobile WiMAX as “FUSC” and “PUSC” (seesection 4.2.2). Clusters of 14 sub-carriers are re-scheduled every second OFDM

symbol, approximately 0.2 ms. The clusters are spread over the whole OFDMbandwidth and is commonly called diversity sub-channelization. Although it may

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seem like a blockwise method as described in the previous section, a detailedexamination reveals that this is a true distributed technique.

3.1.3 Channel dependent schedulingHandling the frequency selective fading is important in OFDM-based systems inorder to give satisfactory performance. In OFDMA we have the possibility ofusing channel estimates to optimize the sub-carrier allocation based on theseestimates.

Figure 26 shows how the time-frequency fading is different for two differentusers due to their different locations [Dahl07]. By obtaining channel estimatesoften enough, the time-frequency blocks can be re-scheduled to maximize theperformance. The example shows how it can be used in E-UTRA.

Figure 26 Channel dependent scheduling [Dahl07]

3.2 Synchronization aspects

In downlink  (DL) all control is located in the base station, including full controlof time- and frequency synchronization.

In the uplink  (UL) in principle the same techniques can be used as for DL,

however since the terminals generally have no knowledge of each other, somedemands are imposed. The ICI must be avoided or kept at a minimum, andthere are two effects which cause deterioration of this. Effect number one iswhen the orthogonality between sub-carriers belonging to different users isreduced due to imperfect frequency synchronization between the terminals;hence good frequency synchronization is important. Additionally, the timingmust be good enough so that ISI is kept within the CP. The second effect iswhen different mobile terminals are received with significantly different powerat the base station. Since perfect orthogonality is practically impossible, strong

received sub-carriers may interfere unacceptably on weaker received ones.Consequently a power control on the mobile stations is important.

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3.3 DFT-spread OFDMA (SC-FDMA)

In section 2.1.2, we showed that OFDM-signals suffer from a large peak-to-average-power ratio (PAPR) when combining several narrowband carriers. This

imposes demands on the power amplifiers of the transmitter to be linear and beoperating with a large back-off to avoid harmonic and inter-modulationdistortion. In a base station, this is not a major problem, however in theterminal this will lead to higher power consumption and shorter battery life aswell as a more expensive unit.

This is why an alternative for the uplink multiple access scheme has beensuggested and eventually adopted for 3GPP E-UTRA.

The UL multiple access scheme for 3GPP E-UTRA is called Single-CarrierFrequency Division Multiple Access (SC-FDMA), a variant of DFT-spread OFDMA.

It is very similar to traditional OFDMA as used in the WiMAX uplink and is basedon the same building blocks. The difference is that the resulting signal applied

to the transmitter resembles a single-carrier behaviour and consequently alower PAPR. A short description is given here, while the details are given in thenext chapter. The description is mostly based on two papers by Myung et al[Myu06] [Myu07] and by the recently published book by Dahlman et al[Dahl07]. Figure 27 shows the signal chain from transmitter to receiver for bothconventional OFDMA and DFT-spread OFDMA.

OFDMA

DFT-spread OFDMA

Figure 27 Transmitter and receiver structure of conventional OFDMA and DFT-spread OFDMA

From the figure we see that in DFT-spread OFDMA, the block of input symbols,{ x n}, on the transmitter is fed through an N -point DFT before the sub-carriermapping is performed (N  is the number of allocated SCs to the specific user).This implies that all (time) symbols are spread on all allocated sub-carriers andall sub-carriers are modulated with a weighted sum of all symbols. The sub-carrier mapping can be both localized and distributed as explained above. Whenapplying the usual Inverse N C -point DFT after the sub-carrier mapping, new

time-domain symbols are generated (N C  is the total number of SCs in the OFDMchannel). After adding CP and possible windowing a serial sequence of symbols

 S  C m a p pi  n g

+ C P  ,D / A +

R F 

Channel

R F +A  / D ,-

 C P 

N C - p oi  n t D

F T 

 S  C  d  e-m a p pi  n g

N C - p oi  n t I D

F T 

N CN CN N

 S  C m a p pi  n g

+ C P  ,D / A +R F 

Channel

R F +A  / D ,- C P 

N C - p oi  n t DF T 

 S  C  d  e-m a p pi  n g

N C - p oi  n t I DF T 

N CN CN N

N- p oi  n t 

DF T 

N- p oi  n t 

I DF T 

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is modulated and transmitted, instead of the usual parallel OFDM-scheme. Onthe receiver, an extra N -point IDFT is applied to recreate the original symbols.

The resulting signal can be said to have a “single-carrier” property, which isintuitively “easy” to understand when using localized SC mapping. Whendistributed SC mapping is used, this is not so obvious. It is shown in [Myu06b]that the reduced PAPR holds for both cases.

Simulations done on different variants of SC-FDMA have been done in [Myu06b]

and show that the PAPR is reduced by approximately 2-3 dB for localizedmapping compared to conventional OFDMA (see Figure 28)

Figure 28 Complementary Cumulative Distribution Functions (CCDF) for the

PAPR of Interleaved (distributed) FDMA, Localized FDMA and OFDMA. 256 sub-carriers total (N C  ), 64 allocated to user (N). Pulse shaping is with raised cosine

roll-off of 50 %. Left: QPSK, Right: 16-QAM [Myu06b]However, this may only be the upside of SC-FDMA. It is also shown in [Alam07]that the cost associated is 2 to 3 dB performance loss in fading channels in the

receiver, see Figure 29. Figure 30 also shows that when performing the DFT-spreading, the PAPR is moved to the frequency domain leading to larger

instantaneous out-of band emissions.

Figure 29 Signal-to-noise ratio (SNR) degradation for IFDMA (DFT-spread

OFDMA with distributed mapping) compared to OFDMA [Alam07]

4 6 8 10 12 14 16 18 20 22 2410

-2

10-1

100

av. SNR per subcarrier(dB)

      P      E      R

16 QAM 1/2, Red: OFDMA, Blue:IFDMA, FFT size:1024, M=128

3 dB loss

IFDMA

OFDMA

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Figure 30 Frequency spectrum of SC-FDMA and OFDMA showing increasedout-of-band emissions due to higher PAPR in the frequency domain [Alam07]

-2000 -1500 -1000 -500 0 500 1000 1500 2000-60

-50

-40

-30

-20

-10

0

10

subcarrier 

Inst. PSD (4 symbols), N=1024, M=128

SC-FDMA

OFDMA

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4  Wireless standards based on OFDM(A)

Several wireless and wired standards for both fixed and mobile communicationsemploy OFDM and OFDMA-techniques. Two of them will be specifically treated

in this report targeting the performance and radio planning aspects. These arethe Evolved UTRA (E-UTRA) standard from 3GPP, commonly known as LongTerm Evolution (LTE). The other is the IEEE 802.16e, mostly confined to theprofiles defined by the WiMAX Forum.

Some other standards using OFDM or OFDMA are:

•  Ultra Mobile Broadband (UMB) also called EV-DO Rev. C, which is the “LTE of 3GPP2”, i.e. the evolvement of the cdma2000 standard.

•  WLAN IEEE 802.11a, IEEE 802.11g, and IEEE 802.11n

•  WPANs – Ultra wideband based on Multiband-OFDM•  Terrestrial Digital Broadcast standards: DVB-T and DVB-H

E-UTRA and WiMAX are explained briefly from a bottom-up perspective, i.e.emphasis is put on the OFDM and OFDMA aspects defining the physical layer

parameters like:

•  Sub-carrier spacing and symbol period

•  Number of sub-carriers

•  Cyclic prefix length

•  Multi-user scheduling aspects

•  Pilot and reference signals

4.1 3GPP Evolved UTRA (Long Term Evolution)

3GPP Evolved UTRA (E-UTRA), usually named Long Term Evolution (LTE) is

formally still in its specification phase. It is targeted for finalization before theend of 2007, so we should regard the physical layer specification to be final. It

is the “4G” technology from 3GPP. A new series of 3GPP specifications iscreated, series 36, which covers all aspects of E-UTRA.

In this context we will describe the physical layer of the E-UTRA bottom-up andconcentrate on the OFDMA and SC-FDMA specific aspects. This means that

coding and protocol aspects will be touched on very lightly. We will also use theterm E-UTRA instead of LTE since this is the formal name used by 3GPP in thestandards documents.

The expected performance for E-UTRA is high with data rates above 100 Mb/son the downlink and 50 Mb/s on the uplink in a 20 MHz bandwidth using 2x2MIMO. In September 2007, Nokia Siemens Networks (NSN) conducted a trial inBerlin assisted by the Heinrich Hertz Institute (HHI) demonstrating peak data

rates of 160 Mb/s in a 20 MHz bandwidth in the 2.6 GHz frequency band using2x2 MIMO1.

1 Press release from NSN at:

http://www.nokiasiemensnetworks.com/global/Press/Press+releases/news-archive/Up_to_ten_times_faster_mobile_broadband_data_rates_a_step_closer_to_reality.htm

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The multiple access scheme is based on OFDMA for the downlink and SC-FDMAfor the uplink. Cyclic prefix  (CP) is used in both directions to protect againstISI. Both frequency division duplex  (FDD) and time division duplex  (TDD) are

supported in order to support transmission both in paired and unpaired

spectrum. The bandwidth is scalable from 1.4 to 20 MHz.

The sub-carrier  (SC) distance is chosen to be 15 kHz, defining the symbollength to be 66.67 μs. It is designed to be narrower than the channel coherence

bandwidth so that the fading of each sub-carrier becomes approximately flat,i.e. frequency non-selective. In this way the frequency domain equalization inthe receiver can consist of only 1 tap per SC. At the same time it needs to belarge enough to minimize ICI due to Doppler effects and phase noise in thetransmitter and receiver.

An additional motivation for this choice was to simplify the implementation ofWCDMA/HSPA/E-UTRA multi-mode terminals [Dahl07]. The sampling rate (f s =

Δf  ⋅ N FFT , see Table 2) will be a multiple of the WCDMA/HSPA chip rate of 3.84

MHz.

4.1.1 Radio resource definitions

The basic concept is shown in Figure 31. The time and frequency domain isorganised in a grid of physical resource blocks spanning a number of sub-carriers and time slots. The resource block is the smallest unit to which usertraffic is allocated, i.e. two users cannot share one resource block.

Figure 31 E-UTRA concept [Ekst06]

In the time-domain, the resource block is spanning one slot of 0.5 ms duration.The slot consists of 7 or 6 consecutive OFDMA (downlink) or SC-FDMA (uplink)symbols as shown in Figure 34. In the frequency domain it spans 180 kHz,

consisting of 12 consecutive sub-carriers. SC-FDMA symbols are often called

blocks, since they do not correspond to single input symbols.

The full number of sub-carriers during one slot is termed resource grid , and thesmallest unit, one symbol length on one sub-carrier, is called a resourceelement . See Figure 32. In case of multi-antenna transmission, one resource

grid is defined per antenna port. Consequently there are 12⋅7 = 84 resourceelements per resource blocks (type 1 radio frame and normal CP, see Figure 33and Table 1).

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DLsymb N 

0=l   1DLsymb   −=  N l

      R s    c

     N

Resource

block

Resource element:

One time-frequency symbol

       F     r     e     q     u     e     n     c     y

Time

 

Figure 32 E-UTRA resource grid defining the physical resource block andresource elements (Downlink example) [TS 36.211]

Further, two slots form one subframe of 1 ms duration, and 10 subframes (or20 slots) form one radio frame of 10 ms. This is called a type 1 frame structure defined for both FDD and TDD operation and is shown in Figure 33. Analternative frame structure called “type 2” is also defined for TDD operation.This is defined to optimize co-existence with legacy 1.28 Mchip/s UTRA TDDsystems. It is not treated further here.

Likewise, for the slot structure, two main types exist depending on the choice oflength of the CP. The “mainstream” choice will probably be the normal  CP of

5.21/4.69 μs giving 7 symbols in a slot as shown in Figure 34.

In the standard documents, the time unit is often given as an integer number of

T s = 1/(Δf ⋅2048) ≈ 32.55 ns. Looking at Table 2, we see that this is the periodof the sampling frequency of the 20 MHz bandwidth transmission.

Figure 33 Type 1 radio frame of E-UTRA [TS 36.211]

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Symb#0 Symb#1 Symb#2 Symb#3 Symb#4 Symb#5 Symb#6CP0 CP1 CP2 CP3 CP4 CP5 CP6

Slot: 0.5 ms

 

Figure 34 Slot structure with 7 OFDM/SC-FDMA symbols and short CP

For FDD, 10 subframes are available for downlink transmission and 10subframes for uplink transmission in each 10 ms interval. For TDD a subframe(two slots) is either allocated to downlink or uplink transmission. Subframes 0and 5 are always allocated for downlink transmission.

The normal CP provides for a time delay caused by multipath of up to 1.5 kmand will be more than adequate for most coverage scenarios. However, an

extended CP of 16.67 μs is defined to cater for longer delays, especially forbroadcast scenarios receiving from multiple base stations in a single frequencynetwork  (SFN). Use of extended CP then provides 6 symbols per slot.

Additionally it is possible on the downlink to combine the extended CP with halfinter-carrier distance (7.5 kHz) to increase the robustness against long delaysand multipath even more. The alternatives for the slot structure are listed inTable 1.

Table 1 Values for slot lengths and cyclic prefix for E-UTRA

w/normal CP 7N u m b e r o f

s y m b o l s p e r sl o t w/extended CP 6

Normal T CP 0

 = 5.21 s (for 1 symbol per slot)

T CP 1-6 = 4.69 s (for 6 symbols per slot)

Cy c l i c p r e f i x

d u r a t i o n

Extended T CP-e = 16.67 μs (for all 6 symbols in a slot)

Unless otherwise noted, we shall focus this description on the use of type 1radio frames and slot structures with normal CP.

E-UTRA builds on the concept of scalable OFDMA (S-OFDMA), i.e. several

bandwidths are supported. The same flexibility is provided in the SC-FDMAuplink. The parameters common for downlink and uplink are given in Table 2.

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Table 2 Supported bandwidths and common DL and UL parameters for E-UTRA[TR 36.104]

System channel

bandwidth [MHz]

1.4 1.6

(TDD

only)*

3 3.2

(TDD

only)*

5 10 15 20

Slot duration [ms]  0.5

Sub-carrier frequency

spacing, f [kHz] 

15 (7.5)

Useful symbol time, T U  

s] 

66.67 (133.33)

Cyclic prefix/guard

time, T CP  [ s] 

Normal CP: 5.21 / 4.69Extended CP: 16.67

OFDMA symbol

duration,

T sy m  = T U  + T CP  [ s] 

Normal CP: 71.88 / 71.36

Extended CP: 83.33

Guard time overhead,TCP /(T CP + T U ) [%]

Normal CP: 6.67Extended CP: 20.0

Resource block BW  180 kHz / 12 sub-carriers

Sampling frequency,

(15 000⋅N FFT [MHz]) 

1.92 1.92 3.84 3.84 7.68 15.36 23.04 30.72

FFT size, (N FF T )  128 128 256 256 512 1024 1536 2048

Occupied sub-carriers  72 84 180 192 300 600 900 1200

Resource mapping Blockwise contiguous

Duplex methods FDD and TDD

Modulation schemes QPSK, 16-QAM, 64-QAM; adaptive

Coding schemes 1/3 rate “tail-biting convolutional code”1/3 rate Turbo code

* Included for spectrum compatibility with Low Chip Rate (LCR) TDD

[TR 25.913].

4.1.2 Modulation and coding

Adaptive modulation and coding is chosen and a number of modulation andcoding schemes (MCS) are defined. Supported modulation formats are QPSK,16-QAM and 64-QAM, which are adaptively selected based on traffic types,

available bandwidths and radio channel quality.

Channel coding is not done on the physical layer but on the so-called transportchannels, and two main channel coding schemes are applied [TS 36.212], a so-called “tail-biting convolutional code” with rate 1/3 and a Turbo code with rate1/3. For control channels a 1/16 rate block code and a 1/3 rate repetition code

are also used. A table of combined modulation schemes and coding schemes isnot yet compiled.

4.1.3 Multi-antenna support

E-UTRA supports the use of multiple antennas at both the base station and theterminal, a necessity to reach the performance goals. Different ways of

exploiting the multi-antenna possibilities are [Dahl07]:

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•  Receive diversity , common in cellular systems for many years on theuplink to suppress fading. In E-UTRA also available on the downlink.

•  Beamforming on the base station to improve received SNR/SIR

•  Space-Time Coding (STC) such as Alamouti coding to improve spatialdiversity and reduce fading margin

•  Spatial multiplexing (SM) or MIMO resulting in increased data rateprovided the channel is sufficiently “spread”.

Up to four antennas are supported on each side, while 2x2 is the so-called “baseline” configuration. The different multi-antenna techniques are beneficialin different scenarios and conditions.

4.1.4 Downlink scheduling and reference signals

The downlink modulation and multiple access is S-OFDMA as described in

section 2.2 with the parameters given above in Table 1 and Table 2.

Resources to different users on the downlink are allocated in theaforementioned resource blocks. This is the smallest allocation unit. A

scheduled terminal can be assigned an arbitrary combination of 180 kHz wideresource blocks. Scheduling takes part in every subframe (1 ms) and can be

channel dependent, i.e. be based on channel quality estimates which theterminal reports back to the base station. The details are currently not

completely described in [TS 36.211].

Reference and pilot channels/signals are inserted in the OFDM grid in order toimprove the time and frequency synchronization in the receiver. As described in

section 2.1.4, this is important to avoid signal degradation. It is also used for

measuring downlink channel quality which is reported back to the base stationfor e.g. scheduling purposes as described in the previous section.

In the time domain, cell-specific reference signals are transmitted in alldownlink subframes (2 slots) supporting unicast transmission. Reference signalsare not transmitted in each OFDM-symbol, but are mapped in the time-frequency domain to the resource elements as shown in Figure 35. This is themapping for a single antenna transmission, however multi-antenna mappings

are similar, but reference signals are positioned differently and non-overlapping(see [TS 36.211]). These same resource elements are also blocked fortransmission on the other antennas. The presence of different reference signalmappings actually define the antenna ports.

Consequently, there are 4 reference signal resource elements in each resourceblock of 84 resource elements on a single antenna. We see that they areregularly positioned each 7th OFDM-symbol and each 6th sub-carrier.

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Slot = 0.5 ms

Subframe = 1 ms

   F  r  e  q  u  e  n  c  y   (  s  u   b  c  a  r  r   i  e  r   )

   1   8   0   K   H  z   (   1   2   S   C   )

 

Figure 35 Mapping of downlink reference signals for a single antennatransmitter [TS 36.211]

The reference signal structure described here gives the same positions ofreference symbols in consecutive subframes, but according to [Dahl07] areference symbol frequency hopping may be applied. This is at time of writingnot included in [TS 36.211].

4.1.5 Uplink scheduling and reference signals

The uplink modulation and multiple access technique chosen is the SC-FDMAtechnique described in section 2.2.1. It has many similarities with OFDMA, anduses the same parameters (Table 1 and Table 2) as the downlink.

Also in the uplink, resources are assigned to the resource blocks. Different fromthe downlink, only a contiguous frequency region can be assigned to theterminals. This is a consequence of the use of the “single-carrier” transmissionon the uplink. The scheduling decisions are also here taken each subframe (1ms), however, an alternative may be inter-slot frequency hopping, implyingthat the physical resources used in the two slots of a subframe do not occupy

the same set of SCs [Dahl07]. It is not however described in the standard yet[TS 36.211].

Reference signals are defined also in the uplink for the purpose of demodulationreference and sounding reference (channel estimation). There is onedemodulation reference signal per slot. The principle is different from that onthe downlink in that it is not possible to frequency multiplex the referencesignals with the data transmission. Instead, the uplink reference signals are

time-multiplexed with the uplink data and transmitted within the fourth block(“symbol”) of each uplink slot as shown in Figure 36. Details are still open in[TS 36.211].

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Figure 36 Uplink reference signals are inserted within the fourth block of eachuplink slot [Dahl07]

4.2 Mobile WiMAX2 

Mobile WiMAX is based on the air interface of IEEE 802.16e-2005 and utilizesthe concept of scalable OFDMA (S-OFDMA). S-OFDMA supports a wide range of

bandwidths to flexibly address the needs in various frequency spectrums. TheWiMAX Forum has selected a subset of the 802.16e standard as mandatory inorder to ensure equipment interoperability and provides test and conformancespecifications. WiMAX Release 1 has been ready since 2006 and covers

 “profiles” for the system bandwidths 5, 7, 8.75 and 10 MHz and frequencybands 2.3, 2.5, 3.3 and 3.5 GHz [WiMAX06].

Possibly important for future deployment of WiMAX technology is the fact thatITU-R at the Radio Assembly  (RA) in October 2007 approved Mobile WiMAX tobe included into the IMT-2000 family under the name “OFDMA TDD WMAN” 3 .This means that the existing 3G frequency bands generally are open for thedeployment of Mobile WiMAX as a direct competitor to UTRA/WCDMA providedthat the national regulators’ license policies are technology neutral.

Mobile uses OFDMA as the multiple access scheme both in uplink and downlink.Cyclic prefix is used in both directions to protect against ISI. Bandwidthscalability from 1.25 to 20 MHz is supported by adjusting the FFT size whilemaintaining fixed sub-carrier frequency spacing. The sub-carrier spacing is

chosen to be 10.94 kHz, which defines the useful symbol length to be 91.4 μs.Since the resource unit sub-carrier bandwidth and symbol duration are fixed,the impact to higher layers is minimal when scaling the bandwidth. The OFDMAparameters applied by mobile WiMAX are summarized in Table 3.

2 The presentation of mobile WiMAX is based on [WiMAX06], [Nua07], and [And07].3 ITU-R press release from RA-07 at: http://www.itu.int/newsroom/press_releases/2007/30.html

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Table 3 Mobile WiMAX OFDMA parameters [WiMAX06]

System channel bandwidth [MHz] 1.25* 5 10 20* 7 8.75

Sub-carrier frequency spacing f  

[kHz]

10.94 7.81 9.77

Useful symbol time, T U  = 1/ f  [ s] 91.4 128.0 102.4Cyclic prefix/guard time, T CP  = T U  /8

s]

11.4 16.0 12.8

OFDMA symbol duration, T s y m  = T U  +

T CP  [ s]

102.9 144.0 115.2

Guard time overhead,

T CP /(T CP + T U ) [%]

11.1

Sampling Frequency, f s  [MHz] 1.4 5.6 11.2 22.4 8.0 10.0

FFT Size, N FF T   128 512 1024 2048 1024 1024

Occupied sub-carriers (DL-PUSC/UL-

PUSC)

360/

272

720/

560

Resource mapping Distributed or contiguous

Duplex method TDD only

Modulation schemes QPSK, 16-QAM, 64-QAM; adaptive

Coding schemes 1/2, 2/3, 3/4, 5/6 rate convolutional code1/2, 2/3, 3/4, 5/6 rate convolutional Turbo code

x2, x4, x6 repetition code

* Not in Mobile WiMAX release 1

In Mobile WiMAX the frequency domain consists of three types of sub-carriers(Figure 37):

•  Data sub-carriers for data transmission

•  Pilot sub-carriers for estimation and synchronization purposes

•  Null sub-carriers; used for guard bands and DC carriers

Figure 37 Frequency domain view of OFDMA sub-carriers

4.2.1 Radio resource definitions – sub-channelization

Data and pilot sub-carriers are grouped into subsets of sub-carriers called sub-channels. WiMAX supports sub-channelization in both DL and UL. The smallesttime-frequency resource unit that is allocated to transmit one data block inmobile WiMAX is referred to as a slot. The number of slots applied for atransmission depends on the size of the data block. Furthermore, the number offrequency-time symbols (combination of one sub-carrier and one symbolperiod) used for data in a slot is 48, while the number of frequency-time

symbols used for pilot symbols varies between different permutation schemes.

There are two types of sub-carrier permutations for sub-channelization;diversity and contiguous. In general, diversity sub-carrier permutations performwell in mobile applications since the channel quality becomes difficult to track,

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while contiguous sub-carrier permutations are well suited for fixed, portable, orlow mobility environments. These options enable the system designer to trade-off mobility for throughput.

4.2.2 Diversity permutations

The diversity permutation draws sub-carriers pseudo-randomly to form a sub-channel. It provides frequency diversity and inter-cell interference averaging.The diversity permutations include DL fully used sub-carrier  (FUSC), DL

 partially used sub-carrier  (PUSC), and UL PUSC.

For DL FUSC, all data sub-carriers are applied when creating the various sub-channels. Each sub-channel is made up of 48 data sub-carriers that aredistributed evenly throughout the entire frequency band as shown in Figure 38.

Figure 38 FUSC sub-carrier permutation scheme

The pilot sub-carriers are allocated first, and then the remaining sub-carriers

are mapped to the different sub-channels. For some of the pilot symbols thefrequency position is fixed (constant set pilot sub-carrier) while some arechanging positions from symbol interval to symbol interval (variable set pilotsub-carrier).

With DL PUSC, the available sub-carriers are grouped into clusters containing

14 contiguous sub-carriers over two symbol intervals, with pilot and dataallocations in each. A re-arranging scheme is used to form 6 groups of clusterssuch that each group is made up of clusters that are distributed throughout thesub-carrier space. A new permutation is performed within each group to formthe sub-channels, where one sub-channel is made up of 28 sub-carriers. Thepermutation procedure is illustrated in Figure 39.

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Figure 39 DL PUSC sub-carrier permutation scheme

Even if this may look like a blockwise distribution, the detailed example inFigure 40 shows that this is a truly distributed technique.

The motivation behind DL PUSC is to make it possible to obtain diversity gainover the whole bandwidth while keeping the orthogonality for closely separatedcells. This is done by dividing the groups of clusters between cells that areclosely spaced and thus potentially sources to interference. If all six groups areused for each cell, the PUSC scheme will be similar to the DL FUSC scheme.

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PPP

P

Frequency

Cluster: 14 SC x 2 symbo ls

30 clusters /420 SCs

Major group: 10 clusters/120 data SCs

Logical sub-channel/24 data SCs from a group

Sub-carrier mapping

Cluster renumbering

DL-PUSC, NFFT = 512

Figure 40 Detailed example of the DL PUSC permutation technique for a FFT length of 512 (36

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Analogous to the cluster structure for DL, a tile structure is defined for the ULPUSC. The available sub-carrier space is split into tiles (four sub-carriers over 3symbol periods), which is pseudo randomly gathered into 6 groups. As for DL

PUSC, a new permutation is performed inside each of the groups to form the

sub-channels. The sub-channel comprises 24 sub-carriers. The procedure isillustrated in Figure 41.

Figure 41 UL PUSC sub-carrier permutation scheme

We should also mention that there exists a DL tile usage of sub-carriers (TUSC)permutation. This is similar to the UL PUSC, and the motivation is to have asymmetric permutation on UL and DL for closed loop advanced antenna

systems (AAS) (see Section 4.2.6). Consequently, a symmetric TDD link doesnot need to have an explicit feedback link between BS and MS to exchange

channel state information due to reciprocity. Note that DL TUSC is notmandatory in the current WiMAX profiles.

4.2.3 Contiguous permutation

The contiguous permutation groups a block of contiguous sub-carriers to form asub-channel. The contiguous permutations include DL adaptive modulation and

coding (AMC) and UL AMC, and have the same structure. Nine contiguous sub-carriers are gathered in a bin, with 8 sub-carriers assigned for data and oneassigned for a pilot as illustrated in Figure 42.

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Figure 42 Band AMC sub-carrier permutation scheme

A sub-channel in AMC is defined as a collection of bins of the type (N  x M  = 6),where N  is the number of contiguous bins and M  is the number of contiguous

symbols. Consequently, the allowed combinations are: (6 bins, 1 symbol), (3bins, 2 symbols), (2 bins, 3 symbols), and (1 bin, 6 symbols). AMC permutation

enables multi-user diversity by choosing the sub-channel with the bestfrequency response for each user.

4.2.4 Permutation schemes summaryThe mandatory profiles in the current WiMAX profiles are DL FUSC, DL PUSC,DL AMC, UL PUSC and UL AMC. In Table 4 we have summarized the mobileWiMAX permutation schemes presented and the corresponding slot definitions.

Table 4 Mobile WiMAX permutation schemes

Permutation scheme Slot definition

DL FUSC 1 sub-channel x 1 OFDMA symbol

DL PUSC 1 sub-channel x 2 OFDMA symbols

UL PUSC and DL TUSC 1 sub-channel x 3 OFDMA symbols

DL AMC and UL AMC 1 sub-channel x (1, 2 or 3) OFDMA symbols

4.2.5 Modulation and coding

WiMAX supports adaptive modulation and coding on all permutation schemes,not only the one named “AMC”. Supported modulation formats are QPSK,16.QAM and 64-QAM.

Channel coding supported are Convolutional Codes (CC) and ConvolutionalTurbo Codes (CTC) with variable code rate and repetition coding. Optionally,Block Turbo Codes and Low Density Parity Check Code (LPDC) are supported.Code rates are 1/2, 2/3, 3/4 or 5/6. For more details, refer to [WiMAX06] which

also shows a table of supported physical layer bit rates.

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4.2.6 Multi-antenna support

OFDMA allows smart antenna operations to be performed on frequency flat sub-carriers, i.e. complex equalizers are not required to compensate for frequency

selective fading. OFDMA is therefore very well-suited to support smart antennatechnologies. Mobile WiMAX supports a full range of smart antenna technologiesto enhance system performance. The smart antenna technologies supported

include:

•  Beamforming: With beamforming, the system uses multiple antennas totransmit or receive weighted signals to improve coverage and capacityof the system and reduce outage probability.

•  Space-Time Coding (STC): Transmit diversity such as Alamouti coding issupported to provide spatial diversity and to reduce fade margin.

•  Spatial Multiplexing (SM): Spatial multiplexing is supported to take

advantage of higher peak rates and increased throughput. With spatial

multiplexing, multiple streams are transmitted over multiple antennas.The receiver must also have multiple antennas which are used toseparate the different streams to achieve higher throughput comparedto single antenna systems. In UL, each user has only one transmitantenna, i.e. two users can transmit collaboratively in the same slot as iftwo streams are spatially multiplexed from two antennas of the sameuser. This is called UL collaborative SM.

The supported features in the Mobile WiMAX performance profile are listed inthe following Table 5.

Table 5 Advanced antenna options for Mobile WiMAX

Link Beamforming Space TimeCoding

SpatialMultiplexing

DL N t  ≥ 2, N r  ≥ 1 N t  = 2, N r  ≥ 1 N t  = 2, N r  ≥ 2

UL N t  ≥ 1, N r  ≥ 2 N/A N t  = 1, N r  ≥ 2

4.2.7 Frame Structure

The 802.16e physical layer specification supports TDD and Full and Half-DuplexFDD operation; however the initial release of mobile WiMAX certification profiles

will only include TDD. With ongoing releases, FDD profiles will be considered bythe WiMAX Forum to address specific market opportunities where local

spectrum regulatory requirements either prohibit TDD or are more suitable forFDD deployments.

The OFDMA frame structure for TDD operation is shown in Figure 43, where the

following fields are defined:

•  Preamble: The preamble, used for synchronization, is the first OFDMsymbol of the frame.

•  Frame Control Header (FCH): The FCH follows the preamble. It provides

the frame configuration information such as MAP message length, codingscheme and usable sub-channels.

•  DL-MAP and UL-MAP : The DL-MAP and UL-MAP provide sub-channel

allocation and other control information for the DL and UL sub-framesrespectively.

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•  UL Ranging: The UL ranging sub-channel is allocated for mobile stations (MSs) to perform closed-loop time, frequency, and power adjustment aswell as bandwidth requests.

•  UL CQICH : The UL CQICH channel is allocated for the MS to feedbackchannel state information.

•  UL ACK : The UL ACK is allocated for the MS to feedback DL HARQacknowledge.

•  DL/UL Bursts: The DL and UL bursts are regions in the time-frequencydomain where the same burst profile is used, i.e. combination of codingand modulation.

Figure 43 WiMAX TDD OFDMA Frame Structure

Both the UL and DL frame can be split into different zones, and differentpermutation schemes can be applied in the different zones. This makes thesystem very flexible with respect to different kinds of MSs with different designcomplexity. The principle is illustrated in Figure 44.

Figure 44 Multi-zone frame structure

P r  e am

 b l   e

P  U S 

 C 

 ( F  C H an d 

MA P  ) 

F  U S 

 C 

P  U S 

 C 

A M

 C 

T  U S 

 C 

P  U S 

 C 

A M

 C 

DL

- Must appear in every frame

- May appear in every frame

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The figure shows that it is only the permutation scheme of the FCH and MAPinformation that are predefined; the rest of the frame is flexible.

4.3 E-UTRA vs. Mobile WiMAX – summaryFrom the details in sections 4.1and 4.2, we can summarize a few of theessential parameters from the OFDMA physical layers of the E-UTRA and WiMAX

standards.

Table 6 Comparison of basic OFDMA parameters of E-UTRA and Mobile WiMAX

E-UTRA Mobile WiMAXRelease 1* 

Supported bandwidths [MHz] 1.4, 1.6, 3, 3.2, 5, 10,15, 20

5, 7, 8.75, 10

Sub-carrier frequency spacing,

f  [kHz]

15, 7.5 (opt.) 10.94 (7.81, 9.77)

Useful symbol time [ 

s] 66.67, 133.33 91.4 (128.0, 102.4)

Cyclic prefix / guard time[ms]

Norm: 5.21/4.69;Ext: 16.67

11.4 (16.0, 12.8)

Guard time overhead,

T CP /(T CP +T U ) [%]Norm: 6.67;

Ext: 20.011.1

Sub-channelizations Distributed,Contiguous RBs

Diversity, Contiguous

FDD or TDD operation FDD and TDD TDD* Numbers in brackets are valid for the 7 and 8.75 MHz bandwidths,

respectively.

It is important to note that while Mobile WiMAX has been standardized for awhile, the E-UTRA is still in writing. Consequently, it may seem that E-UTRA hasmore options. This may not be the practical situation when equipment starts tobe available. There is a high probability that E-UTRA implementations will beconfined to e.g. a subset of the supported bandwidths, at least from thebeginning. It is also expected that since the basis for Mobile WiMAX, namely theIEEE 802.16e-2005 standard, contains a wider range of options, more of thesewill be part of future releases from the WiMAX Forum.

The OFDM SC spacing for E-UTRA and Mobile WiMAX are 15 kHz and 10.94 kHz,respectively. From the short discussion in section 2.2.1, we saw that a smaller

SC spacing makes the system more vulnerable to frequency errors, eithercaused by mobile radio propagation Doppler effects or by other sources. Thedifference is actually quite large and implies that Mobile WiMAX probably is lessrobust to high velocity mobility than E-UTRA, but we talk velocities way beyond100 km/h in any case. This tendency is even strengthened if bandwidths of 7MHz or 8.75 MHz are chosen, because the sub-carrier distance is even smaller.

E-UTRA and Mobile WiMAX seem to have different approaches to choosing theappropriate guard time. While Mobile WiMAX has chosen a single value to coverthe targeted scenarios, E-UTRA provides two choices:

•  E-UTRA normal CP is 5.21/4.69 μs, covering an excess delay of up to 1.5

km

•  Mobile WiMAX CP is 11.4 μs, covering an excess delay of up to 3.4 km

•  E-UTRA extended CP is 16.67 μs, covering an excess delay of up to 5 km

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The overhead also varies accordingly, and it seems that 3GPP tries to target E-UTRA for slightly better resource utilization in the normal case, at the expenseof less robustness for long delays, which might occur in rural scenarios. The

option of an extended CP covers this in addition to the broadcast SFN scenario.

Mobile WiMAX, on the other hand, compromises and has chosen a value inbetween, basically covering all practical scenarios.

Differences in time and frequency domain are shown in Figure 45.

Δf = 15 kHz

Δf = 10.94 kHz

TCP ≈ 5 μs TU = 66.67 μs

TCP

= 11.4 μs TU

= 91.4 μs

E-UTRA

Mobile WiMAX

Frequency Time

 

Figure 45 Sub-carrier distance, useful symbol time and cyclic prefix for E-UTRA and Mobile WiMAX

In the end, the differences on the physical layer of E-UTRA and Mobile WiMAXare small, and it is not possible to point out a “winner” based on this.

4.4 Other OFDM and OFDMA based standards

In this section is given a brief overview of other OFDM or OFDMA based wirelessstandards for communication or broadcast.

4.4.1 Mobile WiMAX Release 2 – IEEE 802.16m

This is the next generation WiMAX standard which targets performances aboveWiMAX R1 and E-UTRA [Alam07]. The standardisation work started in 2007.The bandwidth support is increased upwards and includes 5, 10, 20 and 40MHz. The requirements for peak data rates are above 350 Mb/s downlink using4x4 MIMO and above 200 Mb/s uplink using 2x2 MIMO. The average throughoutper sector shall be more than 40 Mb/s downlink and 12 Mb/s uplink. Terminalmobility up to 350 km/h is required.

4.4.2 3GPP2 Ultra Mobile Broadband (UMB)

The 3GPP2 is standardising the wireless technologies based on the cdmaOneand cdma2000 standards. Their counterpart to E-UTRA is called Ultra Mobile

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Broadband  (UMB), or cdma2000 EV-DO Rev. C. This is also based on scalableOFDMA. The main parameters are [UMB]:

•  Bandwidth support: 1.25, 2.5, 5, 10, 20 MHz

•  Number of sub-carriers (FFT size): 128, 256, 512, 1024, 2048

•  Sub-carrier spacing/useful symbol duration: 9.6 kHz / 104.17 μs

•  Cyclic prefix  (CP) length: Choice between 6.51, 13.02, 19.53, 26.04 μs

•  Windowing: raised cosine, guard interval: 3.26 μs

•  Modulation: Adaptive, QPSK, 8-PSK, 16-QAM, 64-QAM, hierarchicalmodulation

The standard was released in September 20074.

4.4.3 Wi-Fi and WLAN 802.11a-g-n

The WLAN standards IEEE 802.11a, g and n are all OFDM based, however adifferent multiple access technique is used. This is called Carrier Sense Multiple

 Access (CSMA), basically a refined ALOHA technique. The channel bandwidth(.11a, .11g) is 22 MHz. 802.11n can support so-called double bandwidth of 40

MHz. The number of sub-carriers is 52 with a spacing of 312.5 kHz. This gives auseful symbol length of 3.2 μs. The CP is 0.8 μs. Adaptive modulation issupported between BPSK, QPSK, 16-QAM and 64-QAM [802.11a]. Compared to

WiMAX and E-UTRA there are short symbols and CP, meaning that the design istargeting short ranges.

4.4.4 WPAN 802.15.3a Multi Band OFDMThe IEEE 802.15.3a is a short range standard employing Ultra Wideband  (UWB)technology. The UWB band is defined from 3.1 to 10.6 GHz. This standard has

been released via Ecma International , originally a manufacturers associationcalled “European Computer Manufacturers Association” 5. Later they turned into

a standardisation group called “Ecma International - European association forstandardizing information and communication systems”.

The physical layer of the IEEE 802.15.3a standard is based on Multi Band OFDM

(MB-OFDM) [ECMA-368]. The whole UWB band is divided into 14 bands of 528MHz each. These are organized as 4 groups with 3 bands each and one group

with the two upper bands as shown in Figure 46. Each band uses 100 sub-carriers and 12 pilots. Within each band group coded data are spread using

time-frequency codes (TFC) giving support to 7 logical channels per band groupof the first four groups and 2 for the last group, in total 30 channels. Thestandard supports data rates from 53.3 to 480 Mb/s.

4 Press release from 3GPP2 at:

http://www.3gpp2.org/Public_html/News/Release_UMBSpecification24SEP2007.pdf5  See: http://www.ecma-international.org/memento/history.htm

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Figure 46 Organisation of the UWB band for MB-OFDM [ECMA-368]

The OFDM parameters employed:

•  Number of sub-carriers (per band): 100 (FFT: 128)

•  Sub-carrier spacing / useful symbol length: 4.125 MHz / 242.42 ns

•  Guard interval (zero-padded suffix): 70.08 ns (37 samples)

Note that this standard does not use a cyclic prefix; the guard interval is only

zero padding. From the values it is obvious that this is an extreme short rangesystem.

4.4.5 Digital terrestrial video broadcast – DVB-T/H

Broadcast is a one-way service, and consequently no multiple access techniqueis employed. The “new” digital standards, DVB-T and DVB-H for terrestrial and

mobile television are based on OFDM with the following parameters[EN 300 744]:

•  Channel bandwidths: 5, 6, 7 and 8 MHz

•  Number of sub-carriers (including pilots):

2K mode: 1705 (FFT: 2048)

4K mode: 3409 (FFT: 4096) – only DVB-H8K mode: 6817 (FFT: 8192)

•  Sub-carrier spacing (8 MHz channel): 4.464, 2.232, 1.116 kHz

•  Useful symbol length (8 MHz channel): 224, 448, 896 μs

•  Guard intervals can be chosen as fraction of the useful symbol between1/32, 1/16, 1/8 and 1/4, leading to CP lengths ranging from 7 to 224 μs

dependent on chosen mode.

•  Modulation: QPSK, 16-QAM, 64-QAM, hierarchical modulation

DVB-T is currently deployed to replace analogue TV transmissions throughoutEurope. Mobile TV based on DVB-H is available in a few countries, i.a. Italy andFinland.

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5  OFDMA radio planning

Since Mobile WiMAX is a more mature standard than E-UTRA, i.e. Mobile WiMAXproducts are already hitting the market; we have found most information

concerning radio planning of OFDMA systems from the WiMAX literature.However, we do not see any reasons that radio planning should differ muchbetween Mobile WiMAX and E-UTRA.

In general, a radio planning procedure may have the following steps [Hag07]:

1.  Find the prerequisites Typical parameters are bandwidth, frequency, transmitter power,etc.

2.  Define cell edge quality  Typical parameters are UL/DL bit rate and coverage probability.

3.  Calculate coverage The coverage is found based on the link budget.

Result: Max path loss and cell range

4.  Calculate capacity  Result: Throughput distribution for users or the cell

The procedure is illustrated in Figure 47.

Figure 47 Radio planning procedure

When comparing OFDMA planning to GSM and UMTS planning, it is our opinionthat it has most resemblance to GSM. The main reason for this conclusion isthat for OFDMA systems it is common to assume that the intra-cell interferenceis negligible due to the orthogonal nature of the sub-carriers. For UMTS, on theother hand, allowing intra-cell interference is an integral part of WCDMA

operation (especially on the uplink).

However, to obtain high efficiency, aggressive frequency reuse is seen as themost interesting way to deploy new OFDMA systems. Consequently, the inter-

Define edgequality

Coverage

Capacity

Done

Input parameters:

•  power

•  antennas

• etc …

Results:

•  Path loss

• Cell ran e

Results:

•  Cell capacity

•  Throughput

•  Distributions

If coverage orcapacity donot meetrequirements

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cell interference for the upcoming OFDMA systems is expected to be muchlarger than for traditional GSM system. In the next section we will look at thefrequency reuse patterns suggested for OFDMA systems and the corresponding

inter-cell interference situations that arise. After that we will look at some link-

budgets suggested by Nokia Siemens and Ericsson.

5.1 Frequency reuse

Traditional reuse patterns for conventional cellular deployments used cellfrequency reuse factors as high as seven to mitigate inter-cellular co-channelinterference (CCI). These deployments assured a minimal spatial separation of5:1 between the interfering signal and the desired signal, but only 1/7 of thefrequency resources can be utilized at each BS. These high frequency reusefactors can of course be employed for OFDMA systems as well.

As mentioned above, for the OFDMA systems, adjacent channel interference 

(ACI) is controlled by the orthogonal nature of the sub-carriers. However, dueto the frequency reuse in the cellular system, CCI is present. In Figure 48 theSNIR cumulative distribution function (CDF) is plotted for different frequencyreuse factors in a regular hexagonal 3 sector deployment for fully loaded cellswith optimal cell selection.

Figure 48 SNIR (C/I) for different reuse factors [Lam07]

The figure clearly illustrates how the SNIR increases with increasing reusefactor.

With technologies such as WCDMA and OFDMA, aggressive frequency reuse

schemes can be employed to improve overall spectrum efficiency. Thefrequency reuse configurations seen as the most interesting for a multi-cellulardeployment of the OFDMA systems are BSs with 3 sectors, and a sector reuseof one or three.

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5.1.1 Frequency reuse 1

With a frequency reuse of 1, also referred to as universal frequency reuse, thesame channel is deployed in each of the 3 BS sectors as shown in Figure 49.

Figure 49 Scenario with reuse factor 1 [WiMAX07]

This approach has the advantage of using the least amount of spectrum andmay in many cases represent the only deployment reuse alternative due tolimited spectrum availability. It has the highest spectral efficiency and gives thebest aggregated performance.

With reuse 1, two different inter-cell interference schemes can be employed tomitigate CCI at the sector boundaries and at the cell-edge, i.e. avoidance andrandomization. Inter-cell interference randomization is achieved by eitherspreading the transmitted information over a larger part of the availablebandwidth (scrambling in the frequency domain), or by applying frequencyhopping [Bachl07]. The objective is to make the interference experienced bythe users random; hence all users share the burden of having a strong co-

channel interferer.

5.1.2 Frequency reuse 3An alternative to universal frequency reuse (reuse 1) is a reuse of 3, whereeach of the three sectors is assigned a unique channel. Thus, assuming thesame channel bandwidth, a 3-sector base station deployment requires threetimes as much spectrum as reuse 1. Reuse 3 eliminates CCI at the sectorboundaries and significantly decreases CCI between neighbour cells. This

happens due to the increased spatial separation for channels operating at thesame frequency, provided that the cell sector boundaries are properly aligned.A reuse of 3 enables greater use of all of the sub-carriers, thus increasing thespectral efficiency of each channel. The scenario is illustrated in Figure 50.

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Figure 50 Scenario with reuse factor 3 [WiMAX07]

Although the improvements in channel spectral efficiency within each cell withreuse 3 can be significant, the overall spectral efficiency will always be lowerwhen the added spectrum requirements are taken into account.

5.1.3 Fractional frequency reuse

Inter-cell interference avoidance is usually based on fractional frequency reuse.The key features of this scheme are summarized below.

•  Users in a particular sector are designated into multiple classes, e.g.,centre cell users (those that are closest to the base station) and celledge users. The user geometry is dynamically updated.

•  Different bandwidth allocation patterns are assigned for different userclasses. A centre cell user can be allocated the entire spectrum, whereas

only a fraction of the entire spectrum is used when transmitting to usersat the edge of the cell.

•  Transmissions across BSs and sectors are coordinated so that maximalinterference avoidance is achieved.

As a result some channel capacity is sacrificed since some sub-carriers will notbe fully utilized throughout the entire cell. Therefore, strictly speaking, thereuse factor for such a scheme is larger than 1, and may be a fractional number[Jia07]. The fractional frequency reuse scheme is illustrated in Figure 51, wherethree frequency groups are utilized (f 1, f 2, and f 3).

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Figure 51 Fractional frequency reuse [Dahl07]

Fractional frequency reuse can also be accommodated by time-coordination asshown in Figure 52.

Figure 52 Time coordinated fractional frequency reuse in WiMAX TDD

Another variant of fractional frequency reuse is called Inter-cell interferencecoordination and implies power coordination. The transmission power of parts ofthe spectrum is reduced in one cell and the interference seen in the neighbour-

ing cells in this part of the spectrum will be reduced. An example is shownFigure 53 [Dahl07].

Figure 53 Example of inter-cell interference coordination, where parts of thespectrum is restricted in terms of transmission power [Dahl07]

5.2 OFDMA link budgets

In the link budget the interference is accounted for by introducing aninterference margin. By searching relevant references, we found that theinterference margin applied in the different link budgets varies quite a lot.

WiMAX Forum states that the interference margin should be 2 dB for DL and 3dB for UL assuming a frequency reuse of 1 (fractionally frequency reuse), while

the interference margin can be reduced to 0.2 dB for a frequency reuse of 3[WiMAX06]. Furthermore, we included an example of a link budget for E-UTRA,

Pre-amble

Centre cellwith FRF = 1

Whole cellwith FRF = 3

Centre cellwith FRF = 1

Whole cellwith FRF = 3

DL subframe UL subframe

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from Nokia Siemens (Figure 54). In this example the interference margin isproposed at 2 dB for the UL and 3 dB for the DL. Other examples showvariations from 1 – 6 dB [Lam07] [Hag07].

To summarize, the interference margin is dependent on the frequency reusestrategy employed, and further investigations should be performed before wecan give an accurate recommendation on the interference margin to be utilizedin the radio planning.

Uplink DownlinkData rate kbps 64,0 Data rate Mbps 1,0

Transmitter - UE Transmitter - Node B

a Max. TX power dBm 24,0 a HS-DSCH power dBm 46,0

b TX antenna gain dBi 0,0 b TX antenna gain dBi 18,0

c Body loss dB 0,0 c Cable loss dB 2,0

d EIRP dBm 24,0 =a + b - c d EIRP dBm 62,0 =a + b - c

Receiver - Node B Receiver - UE

e Node B noise figure dB 2,0 e UE noise figure dB 7,0

f Thermal noise dBm -118,4 = k(Boltzmann) x T(290K) x B(360kHz) f Thermal noise dBm -104,5 = k(Boltzmann) x T(290K) x B(9MHz)

g Receiver noise floor dBm -116,4 =e + f g Receiver noise floor dBm -97,5 =e + f  h SINR dB -7,0 From simulation (Nokia) h SINR dB -10,0 From simulation (Nokia)

i Receiver sensitivity dBm -123,4 =g + h i Receiver sensitivity dBm -107,5 =g + h

 j Interference margin dB 2,0 j Interference margin dB 3,0

k Cable loss dB 2,0 k Control channel overhedB 1,0

l RX antenna gain dBi 18,0 l RX antenna gain dBi 0,0

m MHA gain dB 2,0 m Body loss dB 0,0

Maximum path loss dB 163,4 =d - i - j + k + l - m Maximum path loss dB 165,5 =d - i - j + k + l - m 

Figure 54 E-UTRA link budget (outdoor) Nokia Siemens [Holma07]

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6  Conclusions

In this report we have explained how transmission and multiple access basedon OFDM and OFDMA is designed, with special attention to the Mobile WiMAX

standard and the Evolved UTRA (also known as LTE) standard, both which arebased on Scalable OFDMA.

One major advantage of OFDM is that it can efficiently handle multipath

transmission without complex receivers. A simple one-tap equalized is enough.This also opens for efficient and simple support of multiple antennas. The use of

Fast Fourier Transform (FFT) techniques is “simple” and cost-efficient. Changingthe FFT size also makes it easily scalable with respect to bandwidth. On thedownside, the OFDM-signal possesses the property of having a high so-calledPeak-to Average Power Ratio (PAPR), which increases with the number of sub-carriers used, however this is also present in WCDMA on a smaller scale. This is

unfavourable because to ensure linear behaviour a large backoff is needed inthe amplifier. On the base station transmitter, this may not be a majorproblem, but on the user terminal transmitter, this implies higher cost andpossibly higher power consumption and shorter battery life.

OFDM used as a multiple access technique, commonly known as OFDMA,benefits from the scalability in assigning resources to different users in aflexible manner whether FDD or TDD operation is assumed. Since OFDM utilizestime- and frequency diversity, channel dependent scheduling is possible.

Main advantages of OFDMA:

•  Scalability

•  Effective implementation using FFT (favourable for MIMOimplementation)

•  Opportunistic frequency scheduling

Main disadvantage of OFDMA

•  Larger PAPR

The two major standards for mobile broadband are Mobile WiMAX, based onIEEE 802.16e, and the Long Term Evolution (LTE) standard from 3GPP, formallynamed Evolved UTRA (E-UTRA). There are no major differences between thesetwo standards on the physical layer. Both are designed for the same range ofbandwidths. The basic design is fairly similar, however details may differ. Based

on slightly different choices of values for the OFDM-parameters we might saythat Mobile WiMAX may have a better performance in “heavy” multipath, sincethe symbols and cyclic prefix are longer than for E-UTRA. On the other hand,this gives smaller sub-carrier distance which puts higher demands on frequencyaccuracies and smaller tolerance for Doppler spread in the channel. MobileWiMAX uses more resources for pilots or reference signals which at least intheory should give more robust performance in difficult radio conditions. On theother hand, it consumes more radio resources and power than E-UTRA, whichcan result in loss in efficiency.

Conclusively on Mobile WiMAX vs. E-UTRA, there is no clear winner when itcomes to technical performance. E-UTRA has however the advantage of beingdesigned for smoother co-existence with and migration from WCDMA/HSPA.

Radio planning OFDMA networks is more equal to GSM planning than WCDMA

planning. In an interference-limited scenario, intra-cell interference is basically

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eliminated due to the fact that users are orthogonal to each other in eithertime- or frequency domain. This is similar to GSM, where there is orthogonalityin the time-domain within the cell. It is different from WCDMA, where intra-cell

interference on the uplink is a major factor when planning for high capacity.

Main interference is from neighbour cells and the problem is to estimatereasonable interference margins.

A few examples of link budgets for Mobile WiMAX and E-UTRA show that there

are some differences in the interference margin estimates.

Additionally, Scalable OFDMA opens a few new ideas on frequency reusemethods. In WCDMA, a frequency reuse factor of 1 (same carrier in all cells) is

often used, but frequency planning with e.g. 3 frequencies are also possible. InOFDMA it is possible to adjust the frequency reuse factor between 1 and e.g. 3

using fractional frequency reuse which opens up the possibility for dynamicfrequency reuse and also dynamic capacity planning. Dividing each cell in aninner part using all frequencies (reuse 1) and outer part using 1/3 of the

frequencies (reuse 3) makes it possible to tune the different cell capacitiescooperatively, e.g. by moving capacity from one cell to another dependent onthe time of day.

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References

[802.11a] IEEE 802 LAN/MAN Standards Committee. Part 11: WirelessLAN Medium Access Control (MAC) and Physical Layer (PHY)specifications. High-speed Physical Layer in the 5 GHz Band .IEEE Std 802.11a-1999(R2003). IEEE, NJ, USA, June 2003.

[Alam07] Alamouti S M. Mobile WiMAX: Vision & Evolution. IEEE Mobile

WiMAX Symposium. Orlando, FL USA, 27-28 March 2007 [online8 Feb 2008] URL: http://www.ieee-

mobilewimax.org/downloads/Alamouti.pps

[And07] Andrews J G, Ghosh A, and Muhamed R, Fundamentals ofWiMAX - Understanding Broadband Wireless Networking, ISBN:0132225522, Prentice Hall, 2007.

[Bachl07] Bachl R, Gunreben P, Das S, Tatesh S. The Long Term EvolutionTowards a New 3GPP Air Interface Standard. Bell Labs Technical

 Journal , 11(4), p25-51. 2007.

[Dahl07] Dahlman E, Parkvall S, Sköld J, Beming P. 3G Evolution. HSPAand LTE for Mobile Broadband . Academic Press/Elsevier. Oxford,UK. 2007. ISBN: 9780123725332.

[ECMA-368] Ecma International. High Rate Ultra Wideband PHY and MACStandard . ECMA-368, 1st edition. December 2005

[Ekst06] Ekström H, et al. Technical Solutions for the 3G Long-Term

Evolution. IEEE Communications Magazine. 44(3). P38-45.March 2006.

[EN 300 744] ETSI. Digital Video Broadcasting (DVB); Framing structure,channel coding and modulation for digital terrestrial television.ETSI EN 300 744, V1.5.1, Nov 2004.

[Hag07] Hagström U, LTE Overview, Ericsson presentation at Telenor ,2007-09-12.

[Holma07] Holma H and Toskala A, WCDMA for UMTS – HSPA evolutionand LTE, 4th edition, ISBN: 9780470319338, John Wiley &Sons, 2007.

[Lam07] Lamminmäki J, Mobile WiMAX radio network - Planning andDimensioning overview, Nokia presentation at Telenor , 2007-09-14.

[Løv92] Løvnes G, Paulsen S E, Rækken R H. UHF radio channelcharacteristics. Part two: Wideband propagation measurements

in large cells. Norwegian Telecom Research (Telenor R&I).Research report TF R 19/92. Kjeller, Norway. 1992.

[Myu06] Myung H G, Lim J, Goodman D J. Single Carrier FDMA for UplinkWireless Transmission. IEEE Vehicular Technology Magazine,3(1), p30-38. Sept. 2006.

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[Myu06b] Myung H G, Lim J, Goodman D J. Peak-to Average Power Ratio

of Single Carrier FDMA Signals with Pulse Shaping. 17 th IEEEInternational Symposium on Personal, Indoor and Mobile RadioCommunications 2006 (PIMRC06). Helsinki, Finland, September2006.

[Myu07] Myung H G. Introduction to Single Carrier FDMA. 15th EuropeanSignal Processing Conference (EUSIPCO) 2007 , Poznan, Poland,Sep. 2007.

[Nee00] Van Nee R, Prasad R. OFDM for Wireless MultimediaCommunications. Artech House, Boston, MA, USA. 2000. ISBN:0-89006-530-6.

[Nua07] Nuaymi L, WiMAX - Technology for Broadband Wireless Access,ISBN: 9780470028087, John Wiley & Sons, 2007.

[Ræk95] Rækken R H, Løvnes G. Multipath propagation and its influenceon digital mobile communication systems. Telektronikk , 91(4),p109-126. 1995.

[TR 25.814] 3rd Generation Partnership Project. Physical layer aspects forevolved Universal Terrestrial Radio Access (UTRA) (Release 7).3GPP TR 25.814, V7.1.0. Sept 2006.

[TR 25.913] 3rd Generation Partnership Project. Requirements for EvolvedUTRA (E-UTRA) and Evolved UTRAN (E-UTRAN) (Release 7).3GPP TR 25.913, V7.3.0. March 2006.

[TS 36.104] 3rd Generation Partnership Project. Evolved Universal Terrestrial

Radio Access (E-UTRA); Base Station (BS) radio transmissionand reception (Release 8). 3GPP TS 36.104, V8.0.0. Dec 2007

[TS 36.211] 3rd Generation Partnership Project. Evolved Universal Terrestrial

Radio Access (E-UTRA); Physical channels and modulation(Release 8). 3GPP TS 36.211, V8.1.0. Nov 2007.

[TS 36.212] 3rd Generation Partnership Project. Evolved Universal TerrestrialRadio Access (E-UTRA); Multiplexing and channel coding(Release 8). 3GPP TS 36.212, V8.1.0. Nov 2007.

[UMB] 3rd Generation Partnership Project 2. Physical Layer for Ultra

Mobile Broadband (UMB) Air Interface Specification. 3GPP2

C.S0084-001-0, Version 2.0. August 2007

[WiMAX06] WiMAX Forum, Mobile WiMAX - Part I: A Technical Overview andPerformance Evaluation, August 2006, available at:http://www.wimaxforum.org/technology/downloads/

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Annex 1. Abbreviations

3GPP 3rd Generation Partnership Project3GPP2 3rd Generation Partnership Project 2

16-QAM 16-state Quadrature Amplitude Modulation64-QAM 64-state Quadrature Amplitude ModulationAAS Advanced Antenna SystemACI Adjacent Channel InterferenceAMC Adaptive Modulation and CodingBER Bit Error RateBPSK Binary Phase Shift KeyingCCDF Complementary Cumulative Distribution FunctionCCI Co-Channel InterferenceCDF Cumulative Distribution Function

COFDM Coded OFDMCP Cyclic Prefix

CSMA Carrier Sense Multiple AccessDL Downlink

DS Delay SpreadDVB-H Digital Video Broadcast Handheld

DVB-T Digital Video Broadcast TerrestrialE-UTRA Evolved UMTS Terrestrial Radio AccessFDD Frequency Division DuplexFDM Frequency Division MultiplexFDMA Frequency Division Multiple AccessFEC Forward Error Correction

FFT Fast Fourier TransformFRF Frequency Reuse FactorFUSC Full Usage of Sub-CarriersHSPA High Speed Packet AccessICI Inter Carrier InterferenceIEEE Institute of Electrical and Electronics Engineers

ISI Inter Symbol InterferenceITU-R International Telecommunication Union – Radio communications sector

LCR Low Chip RateLTE Long Term Evolution

MB-OFDM Multi-Band Orthogonal Frequency Division MultiplexMCS Modulation and Coding SchemesMS Mobile Station

OFDM Orthogonal Frequency Division MultiplexingOFDMA Orthogonal Frequency Division Multiple AccessPAPR Peak to Average Power RatioPDP Power Delay ProfilePUSC Partial Usage of Sub-CarriersQPSK Quadrature Phase Shift KeyingSC Sub-CarrierSC-FDMA Single Carrier FDMASFN Single Frequency Network

SIR Signal to Interference RatioSM Spatial Multiplexing

SNIR Signal to Noise and Interference Ratio

S-OFDMA Scalable OFDMASTC Space Time Coding

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TDD Time Division DuplexTDMA Time Division Multiple AccessTFC Time Frequency Code

TUSC Tile Usage of Sub-Carriers

UL UplinkUMB Ultra Mobile BroadbandUTRA Universal Terrestrial Radio Access

UWB Ultra WidebandWCDMA Wideband Code Division Multiple AccessWiMAX Worldwide Interoperability for Microwave AccessWLAN Wireless Local Area NetworkWMAN Wireless Metropolitan Area NetworkWPAN Wireless Personal Area Network