#6: Double Directional Spatial Channel Model
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- Laurence McLaughlin
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1 s semese MIMO Communicion Sysems #6: Doube Diecion Spi Chnne Mode Kei Skguchi <skguchi@mobie.ee.iech.c.jp> ee c My
2 Schedue 1 s hf De Tex Conens #1 Ap. 12 A-1 B-1 Inoducion #2 Ap. 19 B-5 B-6 Fundmens of wieess commun. #3 Ap. 26 B-12 OFDM fo wieess bodbnd My 3 No css #4 My 10 B-7 Ay sign pocessing #5 Nov. 17 A-3 B-10 MIMO chnne cpciy #6 Nov. 24 B-2 3 Spi chnne mode My 28 No css My MIMO Commun. Sysems Doube Diecion Chnne Mode 2
3 Schedue 2 nd hf De Tex Conens #7 My 31 A-5 MIMO eceive #8 June 7 A-3 4 MIMO nsmie #9 June 14 B-9 Adpive commun. sysem #10 June 21 A-6 B-14 Mui-use MIMO #11 June 28 B Disibued MIMO newoks #12 Juy 5 Snddizion of MIMO Juy 12 Fin Exminion My MIMO Commun. Sysems Doube Diecion Chnne Mode 3
4 Agend Aim of ody Descibe spi chnne mode & evue is effec on MIMO chnne cpciy Conens Ph oss mode IID Ricen fding chnne Coeed fding chnne Anenn mode My MIMO Commun. Sysems Doube Diecion Chnne Mode 4
5 Wming Up Quesion Fi ou he foowing be wih ppopie chnne pmees Coeion Pofie Time? Spce nenn? Fequency? Auo coeion & powe pofie specum Time vin chnne h R h Auo-coeion E h * h & is Fouie nsfom h ~ f Powe pofie specum ~ E ~ * f h f h f P h R h P h f e j2f d f P h f R h e j2 f d My MIMO Commun. Sysems Doube Diecion Chnne Mode 5
6 MIMO Popgion Chnne My MIMO Commun. Sysems Doube Diecion Chnne Mode 6
7 Deeminisic mode Chnne Mode Chnne is geneed by soving eecomgneic fied in he given geomey of scees ex. FEM PO Fo fixed envionmen wih sm scees Sochsic mode Chnne is geneed by sochsic pocess PDF of h pocess is deived empiicy ex. Ryeigh fding Dey pofie Fo mobie envionmen wih ge scees ybid mode Ex. ph oss fom deeminisic mode Ex. fding fom sochsic mode My MIMO Commun. Sysems Doube Diecion Chnne Mode 7
8 Ph Loss Mode Fee spce ph oss G P P A G 2 GP 4 d 4 d 2 A G Anenn effecive peue og db 10 20og10 20og10 4 d d 2 f 28 d Two-ph mode 4hh When d P h h 2 h 2 4 d G G P Bekpoin h d h db 40 og d 20og h 20og h My MIMO Commun. Sysems Doube Diecion Chnne Mode 8
9 Ph Loss Mode db Okumu- mode og f 13.82og h h og h og d h 1.1og10 f 0.7 h 1.56 og10 f Bekpoin My MIMO Commun. Sysems Doube Diecion Chnne Mode 9
10 IID Ryeigh Chnne IID Ryeigh chnne mix Join PDF of f f iid ij ij 1 ij ij exp f f ij k ij 2 k Receive spi coeion 1 R E ij R I 0 M ij M R R Tnsmi spi coeion 1 R * ij R E I 0 M ij M R R ii jj Tx ii jj Rndom fied Rx i i j j My MIMO Commun. Sysems Doube Diecion Chnne Mode 10
11 IID Ricen Chnne IID Ricen chnne mix Tx d iid K K K LOS componen T d LOS Ricen K fco Rx d d Ay mode veco LOS componen cos 1 cos 2 cos 1 d M jk d jk jkd e e e p M K K K I R 1 K K My MIMO Commun. Sysems Doube Diecion Chnne Mode 11
12 CDF of Ricen Chnne Time viion CDF of powe My MIMO Commun. Sysems Doube Diecion Chnne Mode 12
13 Cpciy of Ricen Chnne Spi coeion Chnne cpciy My MIMO Commun. Sysems Doube Diecion Chnne Mode 13
14 Cpciy of Eigenmodes K = 0 K = 100 My MIMO Commun. Sysems Doube Diecion Chnne Mode 14
15 Coeed Ryeigh Chnne Coeed Ryeigh chnne mix devec Rh iid hiid vec iid Coeion mix Nomized coeion mix Tx Chnne coeion Rx R E[vec vec ] RI R R M M b c vec b c My MIMO Commun. Sysems Doube Diecion Chnne Mode 15
16 Coeed Ryeigh Fding Powe [db] f D Powe [db] f D My MIMO Commun. Sysems Doube Diecion Chnne Mode 16
17 Konecke Mode Coeion mix R E[vec vec ] R R R * R R h11 h R R 21 vec h 12 Konecke mode h22 devec Rh iid Tx d Assumpion Rx d d d devec R R hiid T A BvecC vecbca R T iid R My MIMO Commun. Sysems Doube Diecion Chnne Mode 17
18 Cpciy of Coeed Chnne Cpc y o Co e ed C e Chnne cpciy in exponeniy coeed chnne 1 2 eopiz 1 M R 1 2 eopiz 1 M R My MIMO Commun. Sysems Doube Diecion Chnne Mode 18
19 Doube Diecion Chnne Mui-ph mode Tx T DoD Uncoeed sceing 0 ] E[ * j i j i DoA Rx d Spi coeion 0 ] E[ * j i j i Powe ngu pofie Spi coeion 2 d E R cos d d i jk i e P 2 d E R cos d d i jk i e P My MIMO Commun. Sysems Doube Diecion Chnne Mode 19
20 Angu Pofie & Spi Coeion Angu pofie Spi coeion Unifom Lpcin My MIMO Commun. Sysems Doube Diecion Chnne Mode 20
21 Angu Sped & Cpciy Spi coeion Chnne cpciy My MIMO Commun. Sysems Doube Diecion Chnne Mode 21
22 Anenn Mode e ode Sc funcion chnne mix 1 T L Poizion mode Veco funcion chnne mix L T ~ ~ ~ ~ Poizion mode A di i i 1 Dieciviy of dipoe nenn Anenn dieciviy g g g Ay mnifod wih eemen dieciviy ] [ ] ~ ~ [ g g My MIMO Commun. Sysems Doube Diecion Chnne Mode ] [ ] [ g g 22
23 Cicui equion ~ 1 s ZA ZA ZL s 1 y Z Z Z ~ y Z L L dig Muu couping mix Q Q A Muu Couping L Z L Z L 1 ZA ZA ZL 1 Z L Z A Z L Ay mnifod wih muu couping ~ Q ~ Q d Anenn impednce mix s ~ Z L s ~ y y Z L ZA ZA Z L Z L My MIMO Commun. Sysems Doube Diecion Chnne Mode 23
24 Effec of Muu Couping Dieciviy of ech nenn eemen My MIMO Commun. Sysems Doube Diecion Chnne Mode 24
25 Effec of Muu Couping Spi coeion My MIMO Commun. Sysems Doube Diecion Chnne Mode 25
26 Summy Spi chnne mode fo MIMO sysem Deeminisic mode of ph oss Sochsic mode of coeed fding chnnes vi ngu pofies Sochsic pmees e given by empiic sudies Design nd ssessmen of MIMO sysem & MIMO nenn ow bou wih pcic nsmission schemes? Line & non-ine MIMO eceives My MIMO Commun. Sysems Doube Diecion Chnne Mode 26
27 Time Ving Chnne Doube diecion chnne Tx Doppe shif T jkv cos e Uncoeed sceing E[ e jkv cos i e Time coeion E[ h h * jkv cos j ] E P f e ] 0 i j 2 j 2f e df E jkvcos 2 e v Rx Doppe shif Doppe pofie jkv cos f d cos v cos v P f 2 f v 2 f My MIMO Commun. Sysems Doube Diecion Chnne Mode 27 2
28 Doppe Pofie & Time Coeion Doppe pofie Time coeion Jke s Be shpe My MIMO Commun. Sysems Doube Diecion Chnne Mode 28
29 Wide Bnd Chnne Wide Bnd Chnne Time domin expession d n s y Time domin expession n n n s y n y Fequency domin expession ~ ~ ~ ~ f f f f n s y ~ ~ ~ ~ f k f k f k f k n s y My MIMO Commun. Sysems Doube Diecion Chnne Mode 29
30 Tpped Dey Line TDL Inpu #1 s Z Z 1 Z Oupu #1 y Z Z 1 Z Z Z Z Inpu #2 s Z Z 1 Z Oupu #2 y 2 My MIMO Commun. Sysems Doube Diecion Chnne Mode 30
31 Dey Pofie & Fequency Coeion Fequency domin sign ~ ~ y f h f ~ s f n~ f Fequency esponse h ~ f L 1 Uncoeed sceing * E[ ] i j 2f e d 0 Fequency coeion E[ h ~ ~ f h * j f f ] i j j2f f P e d E 1 Dey pofie 2 j2f e d Tx 2 Dey dispesion 3 Rx My MIMO Commun. Sysems Doube Diecion Chnne Mode 31
32 Dey Pofie & Fequency Coeion IEEE chnne mode A Pow we [db] Powe dey pofie PDP of IEEE chnne mode A Reive dey ime [ns] F equency coeion coefficien Fequency coeion Fequency coeion of IEEE chnne mode A Fequency diffeence [Mz] My MIMO Commun. Sysems Doube Diecion Chnne Mode 32
33 IEEE802.11n Spi Chnne Mode Gussin Seed Doppe Pofie Doppe Fie PAP PAP DOA DOD Spi Coeion PDP LOS #1 # Gussin Seed Gussin Seed Doppe Fie Doppe Fie R m m 0 m m 17 My MIMO Commun. Sysems Doube Diecion Chnne Mode 33
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