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Forum for Electromagnetic Research Methods and Application Technologies (FERMAT)
Systematic Approach for Electrically Tuning N-port Antenna System Based on Characteristic Modes
Montaha Bouezzeddine, Werner L. Schroeder
RheinMain University of Applied Sciences, GERMANY
EUCAP 2016, April 11, 2016, Davos
Abstract: We develop, in this paper, a systematic approach to be applied for matching/tuning N-port symmetric antenna system whose design is based on the characteristic modes of a device. The approach uses conformal mapping techniques and allows us to study the feasibility and possible implementation of a “joint matching” to simultaneously match several radiation modes. The approach helps to conclude about the available modes that could be physically matched and to decide about possibly making some amendments on the antenna design. It renders the tuning range of elements of the tunable matching network.Theoretical derivation is supported by the measured scattering parameters of a MIMO antenna system operating in the range[470; 790] MHz.
Keywords:
MIMO, characteristic modes, radiation modes, conformal mapping, tunable matching, isolation, antenna measurements, tuning states optimization, Microcontroller.
REFERENCES 1. Z. H. Hu, P. Hall, P. Gardner, and Y. Nechayev, “Wide tunable balanced antenna for mobile terminals and its potential for MIMO applications,” in Antennas and Propagation Conference (LAPC), 2011 Loughborough, Nov 2011, pp. 1–4. 2. J.-H. Lim, Z.-J. Jin, C.-W. Song, and T.-Y. Yun, “Simultaneous frequency and isolation reconfigurable MIMO PIFA using PIN diodes,” Antennas and Propagation, IEEE Transactions on, vol. 60, no. 12, pp.5939–5946, Dec 2012. 3. Z. Miers, H. Li, and B. K. Lau, “Design of bandwidth-enhanced and multiband MIMO antennas using characteristic modes,” Antennas and Wireless Propagation Letters, IEEE, vol. 12, pp. 1696–1699, 2013. 4. A. Krewski, W. Schroeder, and K. Solbach, “MIMO LTE antenna design for laptops based on theory of characteristic modes,” in Antennas and Propagation (EUCAP), 2012 6th European Conference on, March 2012, pp. 1894–1898. 5. S. Chaudhury, H. Chaloupka, and A. Ziroff, “Novel MIMO antennas for mobile terminal,” in Microwave Conference, 2008. EuMC 2008. 38th European, 2008, pp. 1751–1754. 6. R. Martens, E. Safin, and D. Manteuffel, “Selective excitation of characteristic modes on small terminals,” in Antennas and Propagation (EUCAP), Proceedings of the 5th European Conference on, April 2011, pp. 2492–2496. *This use of this work is restricted solely for academic purposes. The author of this work owns the copyright and no reproduction in any form is permitted without written permission by the author.*
7. M. Bouezzeddine and W. L. Schroeder, “‘Wideband decoupling and tunable matching networks for multi-port antennas,” in The 8th European Conference on Antennas and Propagation (EuCAP 2015), Lisbon, Portugal, Apr. 2015, pp. 3169–3173. 8. S. Stein, “On cross coupling in multiple-beam antennas,” Antennas and Propagation, IRE Transactions on, vol. 10, no. 5, pp. 548–557, September 1962. 9. W. Kahn, “Active reflection coefficient and element efficiency in arbitrary antenna arrays,” Antennas and Propagation, IEEE Transactions on, vol. 17, no. 5, pp. 653–654, Sep 1969. 10. M. Thompson and J. Fidler, “Determination of the impedance matching domain of impedance matching networks,” Circuits and Systems I: Regular Papers, IEEE Transactions on, vol. 51, no. 10, pp. 2098–2106, Oct 2004.
Montaha Bouezzeddine: was born in Brih ElChouf- Lebanon. She received her engineering diploma in Networks and Communication Systems from the National Institute of Applied Sciences (INSA), France, in 2012. Since 2012, she is working as a research engineer at RheinMain University of Applied Sciences, Rüsselsheim - Germany, in the field of multiport antenna systems for cognitive radio. She is currently working toward the PhD degree. Her research interests include MIMO antennas, tunable and reconfigurable antennas, characteristic modes theory, and adaptive tuning and digital control. She was the recipient of the Best student paper award at EUCAP 2016.
Werner L. Schroeder: received the Dipl.-Ing. degree in electrical engineering in 1986 and the Dr.-Ing. degree in 1993, both from Duisburg University, Duisburg Germany. From 1986 to 1999, he was with the Department of Electromagnetic Theory at Duisburg University working on numerical methods for electromagnetic field analysis and physics based simulation of electronic transport in compound semiconductors. In 1999, he joined Infineon Technologies AG, Germany, where he worked as product group leader for the Radio Frequency Identification and Contact-less Chip Card segment. From 2001 to 2006, he worked with the Technology and Innovations department of Siemens Communications / Mobile Phones, Germany, where he was in charge of a major research project on
Software Defined Radio for mobile devices. Since 2008, he is a Professor at RheinMain University of Applied Sciences in Rüsselsheim, Germany. His current research interests include Over-The-Air characterization of mobile devices, multi-port antenna systems for mobile communications and wideband antenna / frontend architectures.
Systematic Approach for Electrically Tuning N-portAntenna System Based on Characteristic Modes
Montaha Bouezzeddine, Werner L. Schroeder
RheinMain University of Applied Sciences, GERMANY
EUCAP 2016, April 11, 2016, Davos
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 1 / 29
Outline
1 Introduction
2 What to match at coupler ports
3 Procedure for Simultaneous Matching of Modes
4 Application and Results
5 Conclusion
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 2 / 29
Introduction
Outline
1 Introduction
2 What to match at coupler ports
3 Procedure for Simultaneous Matching of Modes
4 Application and Results
5 Conclusion
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 3 / 29
Introduction
Some designs of MIMO antennas based on CMs
Superposition of CMs[Lund]
ICE11
ICE12
ICE21
Selective excitation [Kiel]
CC4
CC3
CC1
CC2
Joint excitation[this work]
MIMO antenna solution depends on:Chassis shape (handheld, CPE, laptop,...)
Number of antennas
Frequency range (narrowband,tunable/reconfigurable)
Instantaneous Bandwidth (BW)
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 4 / 29
Introduction
Symmetric Multiport antenna
A multiport antenna is called symmetric if its scattering matrix, SA,remains unchanged after a permutation of port indices, i.e.
PSAP = SA
P, permutation matrix, and SA have a common basis of eigenvectors.
Matrix of radiation modes, V, verifies:
V>V = I
Implication of symmetryThe symmetry property with respect to S-matrix leads to frequencyindependent radiation modes and simplifies the design of DecouplingNetwork (DN).
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 5 / 29
Introduction
Comparison of Multi-port Matching approachesSM SD
(a)
......
...
1
2
N
1
2
N
(b)
SD SM
......
...
+ Match each mode individually
− Degradation of DN performancebecause of mismatch
− Practicality of MatchingNetwork (MN) design
− Increase of losses
+ Higher modal efficiencies
+ Suitable for widebandapplication
+ Post-matching is possible
− Trade-off matching solution
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 6 / 29
Introduction
How to match simultaneously different Modes?
0.2 0.5 1 2 50
0.2
0.5
1
2
5
−0.2
−0.5−1
−2
−5
Γ1
Γ2
Γ3
Γ4
6 dB
RL circleApplication subject to the condition
|Γi − Γj| < dmin
Γ: modal reflectance of agiven radiation mode
But ...Up to which difference level?
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 7 / 29
What to match at coupler ports
Outline
1 Introduction
2 What to match at coupler ports
3 Procedure for Simultaneous Matching of Modes
4 Application and Results
5 Conclusion
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 8 / 29
What to match at coupler ports
Matching at couplers in N-port symmetric antennaSM SD
ΓΓ SA
(a)
......
...
1
2
N
(b)1
2
N
SD SM
SAΓ SA
......
...
V>V = I, Γ = V>SAV, SD =
(0 V
V> 0
), and SM =
(sM11I sM12IsM21I sM22I
)
PropositionUnder the stated condition on permutations of an N-port symmetricantenna system, matching at coupler ports is equivalent to applyingthe same matching to each single mode .
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 9 / 29
Procedure for Simultaneous Matching of Modes
Outline
1 Introduction
2 What to match at coupler ports
3 Procedure for Simultaneous Matching of Modes
4 Application and Results
5 Conclusion
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 10 / 29
Procedure for Simultaneous Matching of Modes
Simultaneous Matching of N-modes
0.2 0.5 1 2 50
0.2
0.5
1
2
5
−0.2
−0.5
−1
−2
−5
Γ1
Γ2
Γ3
Γ4
6 dBRL circle
Match the N modessimultaneously to agiven return loss level
Modal reflectances varyover frequency
Tunability is required fora wide frequency range
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 11 / 29
Procedure for Simultaneous Matching of Modes
Step I: Feasibility CriterionLossless and reciprocal 2-port MN
sM11 = r e jφ1 , sM22 = r e jφ2
sM11
sM21
sM12
sM22 ΓΓ→
modal reflectanceat antenna ports
modal reflectanceat feed ports
Γ e− jφ1 = F (Γ e jφ2)
Γ e jφ2 = F (Γ e− jφ1)
F (z) :=r − z1− rz
F (z) is a Mobius transformationand is equal to its own inverse
F (Γ e− jφ1)⇓
Mapping circles to circles
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 12 / 29
Procedure for Simultaneous Matching of Modes
Load and Matchable zone parameters
...........................................................................
.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
...................................................................................................................................................................................
.............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................•C
R
..........
................
.............
.............
..........................
........................................................................................................
.................................................................
.......................... ............. ............. ............. ............. ............. .............
..........................
.........................................•
ρ
Mapping of a load in the SMITH -Chart to a circle of the minimumrequired return loss
C: distance (SMITH-Chart center -matchable circle center)
R: Radius of matchable circle
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 13 / 29
Procedure for Simultaneous Matching of Modes
Matching Limitations
Result: −R2 + C2 +R
(1
ρ+ ρ
)− 1 = 0
0.0 0.2 0.4 0.6 0.8 1.0
distance of circle center from origin C −→
0.0
0.1
0.2
0.3
0.4
0.5
0.6
circ
lera
dius
R−→
...................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
6 dB return loss
....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
8 dB
...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
10 dB
......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
15 dB...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
20 dB
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 14 / 29
Procedure for Simultaneous Matching of Modes
Present example, modal reflectances of 4 modes
0.2 0.5 1 2 50
0.2
0.5
1
2
5
−0.2
−0.5−1
−2
−5
Γ0
Γ1
Γ2
Γ3
Γ4
Γ0 = s∗M22
sM22 results from theoptimization of MN forthe 4 modes
Simultaneous matchingis not feasible for 4modes.
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 15 / 29
Procedure for Simultaneous Matching of Modes
Present example, modal reflectances of 3 modes
0.2 0.5 1 2 50
0.2
0.5
1
2
5
−0.2
−0.5−1
−2
−5
Γ0
Γ1
Γ2
Γ3
Γ0 = s∗M22
sM22 results from theoptimization of MN forthe 3 modes
Simultaneous matchingis feasible for 3 modes.
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 16 / 29
Procedure for Simultaneous Matching of Modes
Step II: Matching network specificationInput: Modal reflectances in theconsidered frequency range
Optimization criterion: Minimization
Root Mean Square (RMS) ofmodal reflectances
∣∣∣ΓRMS(f)∣∣∣2 :=
1
N
N∑n=1
∣∣∣Γn(f)∣∣∣2
=1
N
N∑n=1
F(Γn(f) e jφ2(f)
)
Output: Frequency dependentscattering matrix of MN
0.5 0.55 0.6 0.65 0.7 0.750
0.2
0.4
0.6
0.8
1
frequency/GHz
r0.5π
π
1.5π
2π
φ2/
rad
rφ2
Optimum parameters (r, φ2)over frequency
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 17 / 29
Procedure for Simultaneous Matching of Modes
Step III: Topology of 2-port Matching Network
Step III: Find the Topology of 2-port Matching Network
Determination of MN topology from the locus of “average” modalreflectance Γ0 in the SMITH-Chart.
0.1 0.2 0.3 0.4 0.5 1 1.5 2 3 4 5 10 200
0.1
0.2
0.3
0.4
0.5
0.6 0.
7 0.8 0.9 1
1.5
2
3
4
5
10
20
−0.1
−0.2
−0.3
−0.4
−0.5
−0.6
−0.7
−0.8
−0.9
−1
−1.5
−2
−3
−4−5
−10
−20
1
forbiddenregion
6 dB
circle
ZL
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 18 / 29
Procedure for Simultaneous Matching of Modes
Step IV: Tuning Elements
Step IV: Determine the Range of Tunable Elements
Optimum s-parameters of the MN for the chosen topology.
Determination of tuning range of tunable elements.
0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.80
5
10
15
20
25
frequency/GHz
Ser
ies
Cap
acita
nce/
pF
0
2
4
6
8
10
12
14
16
Shu
ntC
apac
itanc
e/p
F
SeriesShunt
CMOSdriver
RF + RF -
SerialInterface
[Peregrine semiconductor]
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 19 / 29
Procedure for Simultaneous Matching of Modes
Step IV: Tuning Elements
Step IV: Determine the Range of Tunable Elements
Optimum s-parameters of the MN for the chosen topology.
Determination of tuning range of tunable elements.
0.45 0.5 0.55 0.6 0.65 0.7 0.75 0.80
5
10
15
20
25
frequency/GHz
Ser
ies
Cap
acita
nce/
pF
0
2
4
6
8
10
12
14
16
Shu
ntC
apac
itanc
e/p
F
SeriesShunt
CMOSdriver
RF + RF -
SerialInterface
[Peregrine semiconductor]
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 19 / 29
Application and Results
Outline
1 Introduction
2 What to match at coupler ports
3 Procedure for Simultaneous Matching of Modes
4 Application and Results
5 Conclusion
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 20 / 29
Application and Results
Hardware Realization
overall assembly
tunablematchingnetwork
(5×)
decouplingnetwork
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 21 / 29
Application and Results
Hardware-in-the-loop optimization
decouplingnetwork
µC
4-port VNA
RF lines
SPI
USB
LAN
DTC
Find Final tuning tables for 40× 40 Time-Division Duplex (TDD) andFrequency-Division Duplex (FDD) channels by a hardware-in-the-loopoptimization
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 22 / 29
Application and Results
Measurement Results - TDD scenario
.......
.......
..............................................................
........................
...................................................................................................................................................................................................................................................................................................................................................................
..........................................................................................................
Γ2
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
.....................................................................................................
....................................................................................................................................................
.................................................................................................................................................................................................................................................................................................................................................................................................................................
•
•
•
•
•
Γ3
...........................................................
........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
...........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................• •
••
•
markers at {470,550,630,710,790} MHz
Measured reflectance over 40bands of 8 MHz each
Tuning applied separately ineach band
Most segments inside 6 dBreturn loss circle
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 23 / 29
Application and Results
Measurement Results - FDD scenarioRMS return loss over all 4 modes for 40× 40 pairs of 8MHz RX/TX channels
474 538 602 666 730 786
TX channel center frequency in MHz −→
474
538
602
666
730
786
RX
chan
nelc
ente
rfre
quen
cyin
MH
z−→
0
1
2
3
4
5
6
7
8
9
10
RM
Sre
turn
loss
dB
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 24 / 29
Application and Results
Measurement Results - FDD scenarioMinimum TX to RX isolation at TX frequencyfor 40× 40 pairs of 8MHz RX/TX channels
474 538 602 666 730 786
TX channel center frequency in MHz −→
474
538
602
666
730
786
RX
chan
nelc
ente
rfre
quen
cyin
MH
z−→
20
22
24
26
28
30
32
34
36
38
40
min
imum
isol
atio
n
dB
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 25 / 29
Conclusion
Outline
1 Introduction
2 What to match at coupler ports
3 Procedure for Simultaneous Matching of Modes
4 Application and Results
5 Conclusion
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 26 / 29
Conclusion
Conclusions
Study the feasibility of simultaneous matching of modes sharingthe same couplers
Use conformal mapping techniques to help designing the TunableMatching Network (TMN)
Measurement results back the theoretical derivations
Complexity of TMN depends on the difference of the modalimpedances
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 27 / 29
Conclusion
Conclusions
Study the feasibility of simultaneous matching of modes sharingthe same couplers
Use conformal mapping techniques to help designing the TMN
Measurement results back the theoretical derivations
Complexity of TMN depends on the difference of the modalimpedances
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 27 / 29
Conclusion
Conclusions
Study the feasibility of simultaneous matching of modes sharingthe same couplers
Use conformal mapping techniques to help designing the TMN
Measurement results back the theoretical derivations
Complexity of TMN depends on the difference of the modalimpedances
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 27 / 29
Conclusion
Conclusions
Study the feasibility of simultaneous matching of modes sharingthe same couplers
Use conformal mapping techniques to help designing the TMN
Measurement results back the theoretical derivations
Complexity of TMN depends on the difference of the modalimpedances
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 27 / 29
Abbreviations
Abbreviations I
CM Characteristic Mode
CMOS Complementary Metal-Oxide-Semiconductor
DTC Digitally Tunable Capacitor
FDD Frequency-Division Duplex
MIMO Multiple Input – Multiple Output
TDD Time-Division Duplex
M. Bouezzeddine, W. Schroeder (HSRM) Tuning of Antenna systems based on CMs 2016-04-11 28 / 29