MC-CDMA CDMA Systems. Introduction. Ivan Cosovic. Stefan Kaiser. IEEE Communication Theory Workshop 2005 Park City, USA, June 15, 2005

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1 On the Adaptivity in Down- and Upink MC- Systems Ivan Cosovic German Aerospace Center (DLR) Institute of Comm. and Navigation Oberpfaffenhofen, Germany Stefan Kaiser DoCoMo Euro-Labs Wireess Soution Laboratory Munich, Germany IEEE Communication Theory Workshop 2005 Park City, USA, June 15, 2005 Introduction Adaptivity in MC- Concept of Adaptivity in Upink MC- Concept of Adaptivity in Downink MC- Concusions 2

2 Adaptivity in MC- SNR MAI MC- transmitter channe MC- receiver 3 Adaptivity in MC- MC- transmitter channe MC- receiver 4

3 Adaptivity in MC- MC- transmitter channe MC- receiver 5 Adaptivity in MC- MC- transmitter channe MC- receiver Adapt transmission signa to : 1) Eiminate MAI Zero-forcing (ZF) 2) Maimize SNR Maimum ratio transmission (MRT) 3) Trade-off between ZF and MRT MMSE 6

4 Adaptivity in MC- MC- transmitter channe MC- receiver 7 Adaptivity in MC- MC- transmitter channe MC- receiver at T and R more degrees of freedom Mobie station - ow compeity Base station - higher compeity 8

5 Adaptivity in Upink MC- Avaiabe Ony at T Input/output reation: K r = k = 1 G c d w ( k ) ( k ) ( k ) ( k ) ( ) pre T channe R Pre-equaization Technique Coefficients ZF (eiminates MAI) G ( k ) pre, = ( k ) ( k ) 2 W MRT (maimizes SNR) G ( k ) pre, = ( k ) W MMSE (trade-off between ZF and MRT) G ( k ) pre, = K L ( k ) 1 ( k ) 2 2 n W σ 9 Adaptivity in Upink MC- Avaiabe at T and R Concept of combined-equaization equaization Aim at maimizing SNR at T and suppressing MAI at R New improved MC- singe-user bounds Cosey approached even in a fuy-oaded system T channe R Compeity Low compeity at T one-tap pre-equaization igher compeity at R non-inear parae interference canceation (PIC) Optimization agorithm Cosed form soution not avaiabe in a muti-user case A simpe and effective approach; A singe optimization parameter - parameter p of the generaized pre-equaization equaization used to trade SNR and MAI G ( k ) pre, = ( k ) p ( k ) Contros power distribution over subcarriers W 10

6 Adaptivity in Upink MC- Avaiabe at T and R AWGN channe MF bound, L=16 (state of the art) Uncoded system QPSK Uncorreated Rayeigh Spreading ength L=16 Singe-user Idea BER P MF L L = 1 1 γ L 1 1 γ 2 = 0 2 γ = Et N0 L E N t MF matched fiter SNR in db 11 Combined-Equaization Frequency Domain Singe-User Transmission System T c 1 G pre,1 1 n1 G post,1 c 1 R c 2 G pre,2 G post,2 channe 2 n2 c 2 d dˆ c L G pre,l L n L G post,l c L G post, = f ( Gpre, ) 12

7 Combined-Equaization Seection Diversity (SD) Combined-Equaization T c 1 0 channe 1 n1 0 c 1 R d c L c L n 1 Best propagation conditions 0 L n L 0 c c L dˆ 13 Adaptivity in Upink MC- Avaiabe at T and R BER AWGN channe MF bound, L=16 (state of the art) Uncoded system QPSK Uncorreated Rayeigh Spreading ength L=16 Singe-user Idea SD bound, L=16 (new MC- bounds) L L = 1 1 γ L 1 1 γ PMF 2 = 0 2 γ = Et N0 L E N t db SNR in db P SD L = 1 L L 1 ( 1) Et N0 1 2 = Et N0 SD seection diversity MF matched fiter 14

8 Combined-Equaization Drawback of seection diversity: Not suitabe for the muti-user user case Requirements: Appropriate for appication in muti-user user upink MC- Capabe to cosey approach seection diversity bound Preferaby feibe Soution: Generaized pre-equaization equaization (G-pre pre-eq) 15 Combined-Equaization in Muti-User MC- As p grows singe-user bounds are better, but more MAI is induced Optimization probem reduced to determination of parameter p SNR = 1.5 db, G-pre-eq PIC (1 iter.) SNR = 0.0 db, G-pre-eq PIC (3 iter.) SNR = 0.0 db, G-pre-eq PIC (5 iter.) Convo. coded system (R=1/2) QPSK Uncorreated Rayeigh Spreading ength L=16 Number of active users K=16 Idea BER p 16

9 Concept of Adaptivity in Upink MC- Numerica Resuts Convo. coded R=1/2 QPSK Uncoreated Rayeigh Spreading ength L=16 Number of active users K=16 Idea BER pre-eq ma SINR, pre-eq ony PIC (3 iter.), post-eq ony MF bound, L=16 AWGN channe G-pre-eq (p=3) PIC (3 iter.) G-pre-eq-MRC bound, L=16, p=3 SD comb-eq bound, L= SNR in db 4 db Pre-eq ony ( at T) Post-eq ony ( at R no adaptivity) Comb-eq ( at T and R) 17 Concept of Adaptivity in Downink MC- Avaiabe Ony at T Input/output reation: z = F Ud w Fading & despreading F = ( 1) (1) ( K ) ( K ) ( ) c K ( ) c ) Pre-equaization (& spreading) T channe R Pre-equaization Technique ZF (eiminates MAI) Pre-equaization matri ( ) 1 W U = F F F MRT (maimizes SNR) U = FW MMSE (trade-off between ZF and MRT) 2 1 ( F σ ) W U = F F I n 18

10 Adaptivity in Downink MC- Avaiabe Ony at T Non-inear interference pre-canceation: z = F Ub w F = RQ R QR-decomposition; ower trianguar; unitary matri Q T channe R ( QQ = I) U = Q b = d R 1 ( R R) b R diagona matri - contains diagona eements of R 1 z = RQQ R Rd w = Rd w MAI is competey eiminated 19 Adaptivity in Downink MC- Avaiabe at T and R Compeity igher compeity at T non-inear interference pre-canceation Low compeity at R one-tap post-equaization, i.e., singe-user detection (SUD) T channe R Optimization agorithm Cosed form soution is given by a compicated iterative procedure Simpe and effective approach Pre-equaization equaization is performed assuming that a certain SUD is empoyed at the receiver pre-equaization, SUD & despreading SUD U = f (F) F = ( 1) (1) ( K ) ( K ) ( ) g K ( ) g ) k ) g = f ( ( ( k ) ) 20

11 Adaptivity in Downink MC- Numerica Resuts Uncoded system QPSK Uncoreated Rayeigh Spreading ength L=16 Number of active users K=16 Idea Bit Error Rate S&G S&M MMSE detection non-inear precoding PD non-inear precoding MRC non-inear precoding EGC AWGN SNR in db 21 Concusions Combined equaization can propery be designed for upink and downink, aowing ow compeity termina stations and higher compeity base stations. Optimization based on generaized pre-equaization equaization. Simuation resuts show that in muti-user scenarios combined equaization significanty outperforms systems with ony pre- or post- equaization. Prerequisite is to have channe knowedge avaiabe at the transmitter and the receiver. 22

12 5th Internationa Muti-Carrier Spread Spectrum Workshop (MC-SS 2005) September 14-16, 2005 Oberpfaffenhofen, Germany 23

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