Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs)Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs)

Submission Title: Statistical Overview of a Set of Measurement DataDate Submitted: 12 September, 2002Source: Marcus Pendergrass, Time Domain Corporation 7057 Old Madison Pike, Huntsville, AL 35806Voice:256-428-6344 FAX: [256-922-0387], E-Mail: Marcus.Pendergrass@timedomain.com

Re: Ultra-wideband Channel Models IEEE P802.15-02/208r0-SG3a, 17 April, 2002,

Abstract: An overview of several statistical parameters extracted from a set of measurement data are presented.Purpose: The information provided in this document is for consideration in the selection of a UWB channel model to be used for evaluating the performance of a high rate UWB PHY for WPANs.Notice: This document has been prepared to assist the IEEE P802.15. It is offered as a basis for discussion and is not binding on the contributing individual(s) or organization(s). The material in this document is subject to change in form and content after further study. The contributor(s) reserve(s) the right to add, amend or withdraw material contained herein.Release: The contributor acknowledges and accepts that this contribution becomes the property of IEEE and may be made publicly available by P802.15.

Slide 1

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Statistical Overview of a Set of Measurement Data12 September 2002

Marcus Pendergrassmarcus.pendergrass@timedomain.com

References

http://grouper.ieee.org/groups/802/15/pub/2002/Jul02/02240r1p802-15_SG3a-Empirically_Based_UWB_Channel_Model.ppt

http://grouper.ieee.org/groups/802/15/pub/2002/Jul02/02294r0p802-15_SG3a-Empirically_Based_Statistical_Ultra-Wideband_Channel_Model.ppt

Channel model submission, July 2002, Vancouver BC

Channel model presentation, July 2002, Vancouver BC

Slide 2

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

• This overview includes only the data the waspresented at the July 2002 meeting of IEEE 802.

• Data extracted with CLEAN algorithm.

• Energy capture stopping criteria used.

• CLEAN stops extracting impulses out of a scannedwaveform when the current CIR either

• captures at least x% of the energy in the scannedwaveform (x is called the energy capture ratio); or

• contains 200 impulses

• Energy capture targets of x = 80%, 85%, 90%,and 95% used in analysis.

Brief Recap

Slide 3

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

• Statistics examined in this overview:• CLEAN Ratio Sum

• CIR Dynamic Range

• Mean Excess Delay

• RMS Delay

• Number of Multipath Components

• Scenarios called out in this overview• Case 1: 0 to 4 meters, line of sight (LOS), metalStud

• Case 2: 0 to 4 meters, non line of sight (NLOS), metalStud

• Case 3: 4 to 10 meters, non line of sight (NLOS), metalStud

Statistics and Scenarios

Go to “View -> Notes Page” to see the tabulated means and standard deviations of these statistics

Go to “View -> Notes Page” to see the tabulated means and standard deviations of these statistics

Slide 4

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CLEAN Ratio Sum

Sum of the relative error and the energy capture ratio. When the CLEAN ratio sum is 1, the CLEAN algorithm is returning a least-squares approximation of the scanned waveform.

s

r

s-r

Original scan Error vector

Linear space of all possible reconstructed scans

CLEAN approximation to original scan (reconstructed scan)

2

2

s

r

Energy Capture Ratio:

Relative Error:

2

2

s

rs

Least Squares Condition:

12

2

2

2

s

rs

s

r

Slide 5

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CLEAN Ratio Sum vs. Energy Capture Ratio

Case 1: 0-4 meters, NLOS, metalStudCLEAN Ratio Sum vs. Energy Capture Ratio

0.8

0.9

1

1.1

1.2

1.3

1.4

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

su

m o

f re

lati

ve e

rro

r an

d e

ne

rgy

cap

ture

rat

io

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 6

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CLEAN Ratio Sum vs. Energy Capture Ratio

Case 2: 0-4 meters, LOS, metalStudCLEAN Ratio Sum vs. Energy Capture Ratio

0.8

0.9

1

1.1

1.2

1.3

1.4

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

su

m o

f re

lati

ve e

rro

r an

d e

ne

rgy

cap

ture

rat

io

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 7

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CLEAN Ratio Sum vs. Energy Capture Ratio

Case 3: 4-10 meters, NLOS, metalStudCLEAN Ratio Sum vs. Energy Capture Ratio

0.8

0.9

1

1.1

1.2

1.3

1.4

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

su

m o

f re

lati

ve e

rro

r an

d e

ne

rgy

cap

ture

rat

io

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 8

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CIR Dynamic Range

mmax =

mmin =

max {|ai| : i = 1, 2, …, n}

min {|ai| : |ai| > 0, i = 1, 2, …, n}

Ratio of the maximum and minimum non-zero magnitudes of the CIR

CIR Dynamic Range = 20 log10(mmax/mmin)

- mmax

mmin

a0

an

t10 k n

Slide 9

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CIR Dynamic Range vs. Energy Capture Ratio

Case 1: 0-4 meters, NLOS, metalStudCIR Dynamic Range vs. Energy Capture Ratio

0

5

10

15

20

25

30

35

40

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

CIR

dyn

amic

ran

ge

(d

B)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 10

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CIR Dynamic Range vs. Energy Capture Ratio

Case 2: 0-4 meters, LOS, metalStudCIR Dynamic Range vs. Energy Capture Ratio

0

5

10

15

20

25

30

35

40

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

CIR

dyn

amic

ran

ge

(d

B)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 11

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

CIR Dynamic Range vs. Energy Capture Ratio

Case 3: 4-10 meters, NLOS, metalStudCIR Dynamic Range vs. Energy Capture Ratio

0

5

10

15

20

25

30

35

40

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

dyn

amic

ran

ge

(d

B) 80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 12

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Mean Excess Delay

t

a0

an

Weighted first moment of the delays in the CIR. The weights are proportional to the squared magnitudes of the CIR amplitudes.

a1

ak

10 k n

n

ii

kk

a

ap

0

2

2

n

iii p

0

mean excess delaymean excess delay

weightsweights

Slide 13

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Case 1: 0-4 meters, NLOS, metalStudMean Excess Delay vs. Energy Capture Ratio

0

5

10

15

20

25

30

35

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

me

an e

xce

ss

de

lay

(ns

)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Mean Excess Delay vs. Energy Capture Ratio

Slide 14

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Case 2: 0-4 meters, LOS, metalStudMean Excess Delay vs. Energy Capture Ratio

0

5

10

15

20

25

30

35

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

me

an e

xce

ss

de

lay

(ns

)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Mean Excess Delay vs. Energy Capture Ratio

Slide 15

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Case 3: 4-10 meters, NLOS, metalStudMean Excess Delay vs. Energy Capture Ratio

0

5

10

15

20

25

30

35

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

me

an e

xce

ss

de

lay

(ns

)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Mean Excess Delay vs. Energy Capture Ratio

Slide 16

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

RMS Delay

t

a0

an

Weighted second central moment of the delays in the CIR. The weights are proportional to the squared magnitudes of the CIR amplitudes.

a1

ak

10 k n

n

ii

kk

a

ap

0

2

2

n

iii p

0

n

iii p

0

2RMS

mean excess delaymean excess delay

RMS delay spreadRMS delay spread

weightsweights

Slide 17

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

RMS Delay vs. Energy Capture Ratio

Case 1: 0-4 meters, NLOS, metalStudRMS Delay vs. Energy Capture Ratio

0

5

10

15

20

25

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

RM

S d

ela

y (n

s)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 18

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

RMS Delay vs. Energy Capture Ratio

Case 2: 0-4 meters, LOS, metalStudRMS Delay vs. Energy Capture Ratio

0

5

10

15

20

25

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

RM

S d

ela

y (n

s)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 19

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

RMS Delay vs. Energy Capture Ratio

Case 3: 4-10 meters, NLOS, metalStudRMS Delay vs. Energy Capture Ratio

0

5

10

15

20

25

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

RM

S d

ela

y (n

s)

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 20

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Number of Multipath Components

The number of impulses in the CIR.

t

a0

an

Number of multipath components = n + 1

Slide 21

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Number of Multipath Components vs. Energy Capture Ratio

Case 1: 0-4 meters, NLOS, metalStudNumber of Multipath Components vs. Energy Capture Ratio

0

20

40

60

80

100

120

140

160

180

200

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

nu

mb

er

of

com

po

ne

nts

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 22

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Number of Multipath Components vs. Energy Capture Ratio

Case 2: 0-4 meters, LOS, metalStudNumber of Multipath Components vs. Energy Capture Ratio

0

20

40

60

80

100

120

140

160

180

200

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

nu

mb

er

of

com

po

ne

nts

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 23

Marcus PendergrassTime Domain Corporation (TDC)

doc.: IEEE 802.15-02/402 SG3a September 2002

Submission

Number of Multipath Components vs. Energy Capture Ratio

Case 3: 4-10 meters, NLOS, metalStudNumber of Multipath Components vs. Energy Capture Ratio

0

20

40

60

80

100

120

140

160

180

200

0.75 0.8 0.85 0.9 0.95 1

energy capture ratio

nu

mb

er

of

com

po

ne

nts

80% Energy Capture

85% Energy Capture

90% Energy Capture

95% Energy Capture

mean

Poly. (mean)

Slide 24