Single Front Single Front-end MIMO Architecture end MIMO Architecture with Parasitic Antenna Elements with Parasitic Antenna Elements with Parasitic Antenna Elements with Parasitic Antenna Elements Araki Araki-Sakaguchi Sakaguchi Laboratory Laboratory Mitsuteru Mitsuteru YOSHIDA YOSHIDA 1
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Single FrontSingle Front--end MIMO Architecture end MIMO Architecture with Parasitic Antenna Elementswith Parasitic Antenna Elementswith Parasitic Antenna Elementswith Parasitic Antenna Elements
– Single RF Front-endg• Spatiotemporal conversion• Multiplexing
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SFSF--MIMO w/ PAEMIMO w/ PAE•• Analytical studyAnalytical studyAnalytical studyAnalytical study
– Effect of PAE• Conventional : Empirical studyp y
– Effect of Single Front-end• Switching causes SNR penalty
MIMO f– MIMO performance• Eigenvalue analysis
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SFSF--MIMO w/ PAEMIMO w/ PAE•• Concept of design for MIMO transceiversConcept of design for MIMO transceiversConcept of design for MIMO transceiversConcept of design for MIMO transceivers
Matching problem (cont.)Matching problem (cont.)g p ( )g p ( )•• Parasitic antenna elements system modelParasitic antenna elements system modelParasitic antenna elements system modelParasitic antenna elements system model
– Effective free space
( ) ( ) ⎤⎡⎤⎡ −− 1111~~SSΓSSSSΓSSSS ( ) ( )
( ) ( ) ⎥⎥⎦
⎤
⎢⎢⎣
⎡
−+−+−+−+=⎥
⎦
⎤⎢⎣
⎡=→ −−−−
−−
PR1
PP1
PRPRRPT1
PP1
PRPRT
PRPP1
PTPTRPTPP1
PTPTT
RRRT
TRTT ~~~
SSΓSSSSΓSSSSΓSSSSΓSS
SSSSSS
– Hermitian matchingΗ= RR
11R
~SΣ
– Effective channel( ) RT
1
RRRR21R
~~~~ SSSIΣH−Η−=
– Capacity : Equal power allocation
( ) RT
1
RRRRRT~~~~log SSSISI
−ΗΗ −+= γBC
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( ) RTRRRRRTlog SSSISI +γBC
Operating problemOperating problemp g pp g p•• (T,R,P)=(1,1,1)(T,R,P)=(1,1,1)(T,R,P) (1,1,1) (T,R,P) (1,1,1)
– Mobius transform
⎟⎞
⎜⎛ 22 ~~ SS
⎟⎞
⎜⎛ ⎤⎡+Γ
−=
⎟⎟⎟
⎠
⎞
⎜⎜⎜
⎝
⎛
−+
≤Γ≤Γ2
RR
RT
12
RR
RT
1 ~1maxarg~1
1logmaxargPP
SSBA
S
S
S
Sγ
Γ is uniquely determined
⎟⎟⎠
⎞⎜⎜⎝
⎛⎥⎦
⎤⎢⎣
⎡=Δ≥Δ−−+
+Γ+Γ
==Γ PPPR
RPRR22RR
2PP
P
P
1det where01 maxarg
P SSSS
SSDCBA
Q
– ΓP is uniquely determined
P f l iP f l i•• Performance analysisPerformance analysis– No matching (All pass) model ( ) RTRTRT
1
RRRRRT~~~~~~ SSSSSIS Η−ΗΗ →−
8
IΣOΣ == 21R
11R ,
Performance analysisPerformance analysisyy•• Applying Equal Gain Combining (EGC) analysisApplying Equal Gain Combining (EGC) analysisApplying Equal Gain Combining (EGC) analysisApplying Equal Gain Combining (EGC) analysis
ZYXS
SS
SSSSSS ≡+≡
−+
−+= 2
PTRP2PT
*PPRP
RTmaxRT11
~ ( ) '' 212
*2
1
*1
2
1
2
1
2
1 nrr ++=⎥⎥⎦
⎤
⎢⎢⎣
⎡=⇒⎥
⎦
⎤⎢⎣
⎡+⎥
⎦
⎤⎢⎣
⎡=⎥
⎦
⎤⎢⎣
⎡shh
hh
hh
nn
shh
rr
– X,Y : pseudo branch
SS PPPP 11 21222 ⎥⎦⎢⎣⎦⎣⎦⎣⎦⎣ hhnhr
⎞⎛⎞⎛⎞⎛ 22 2 n
[ ] [ ] ( )( ) ( )22
2222
Y2
Xvarvar,cov,,
YXYXYEXE ≡≡≡ ργγ
( )
( ) ( ) ( ) ( ) ⎪
⎪⎬
⎫
⎪
⎪⎨
⎧
⎟⎟⎠
⎞⎜⎜⎝
⎛+−−⎟
⎟⎠
⎞⎜⎜⎝
⎛+⎟⎟⎠
⎞⎜⎜⎝
⎛+−−⎟
⎟⎠
⎞⎜⎜⎝
⎛×
++
−⎟⎟⎠
⎞⎜⎜⎝
⎛⎟⎠⎞
⎜⎝⎛⎟⎟⎠
⎞⎜⎜⎝
⎛−−=
−
+
−−
+
−
=
∞
=∑∑
12X
12
21
12Y
12Y
12
21
12X
00
22
e
12;
21;
21,
21
1212;
21;
21,
21
12...
...12121
22
21
21
γγγγ
ρρ
knFknF
kn
kn
nn
P
kk
n
k
k
n
n ( ) ( )varvar YX
•• Performance of EGC is quite close to that of MRCPerformance of EGC is quite close to that of MRC
( ) ( ) ( ) ( ) ⎪⎭
⎪⎩
⎟⎠
⎜⎝ ++−⎟
⎠⎜⎝ ++−⎟
⎠⎜⎝ ++−⎟
⎠⎜⎝ ++− YX
2YX
2YX
2YX
2 12222121222212 γγργγργγργγρ
– Exhibiting less than 1dB of power penalty
9•• Noise is added only from 1 branchNoise is added only from 1 branch
– SRT,SPT : Propagation channel (stochastic)• Correlated complex gaussian RVs (CN(0,σ2))p g ( ( , ))• Envelope correlation coefficient by Jakes’ model
⎟⎠⎞
⎜⎝⎛=λπρ dJ 2
0
• Power correlation coefficient
⎟⎠
⎜⎝ λ
ρ 0
( )22( )( ) ( )
2
2PT
2RT
2PT
2RT
varvar
,covρ=
SS
SS
– SRR,SPP,SPR,SRP : Antenna parameters (deterministic)• Calculated by HFSS
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Simulation Simulation resultsresults (cont.)(cont.)( )( )•• Average error probabilityAverage error probability vsvs SNRSNRAverage error probability Average error probability vsvs SNR SNR
⎥⎦
⎤⎢⎣
⎡
×+××−××−××+×
=⎥⎦
⎤⎢⎣
⎡−−−−
−−−−
1111
1111
PPPR
RPRR
1063100510931011109.3101.1106.3109.4
jjjj
SSSS
⎦⎣ ×+×××⎦⎣ PPPR 106.3100.5109.3101.1 jjSS
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Simulation Simulation results (cont.)results (cont.)( )( )•• Average error probabilityAverage error probability vsvs SNRSNRAverage error probability Average error probability vsvs SNR SNR •• Distribution of ΓDistribution of ΓPP
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Simulation Simulation results (cont.)results (cont.)( )( )•• Effect of distance between antenna elementsEffect of distance between antenna elementsEffect of distance between antenna elementsEffect of distance between antenna elements
Th f f i l f tTh f f i l f t d MIMO / PAEd MIMO / PAE
PΓ
•• The performance of single frontThe performance of single front--end MIMO w/ PAE end MIMO w/ PAE is close to that of conventional 2x2 MIMOis close to that of conventional 2x2 MIMO
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SummarySummaryyy•• SFSF--MIMO w/ PAE is proposedMIMO w/ PAE is proposedSFSF MIMO w/ PAE is proposedMIMO w/ PAE is proposed
– Performance of PAE is evaluated analytically– Switching operation can realize MIMO by single RF front-endSwitching operation can realize MIMO by single RF front end
F ibilit f d ti t hi i itF ibilit f d ti t hi i it•• Feasibility of adaptive matching circuitFeasibility of adaptive matching circuit
Th k f ki d tt tiTh k f ki d tt tiThank you for your kind attentionThank you for your kind attention