Iterative Multiuser Receivers: Bits to System Design

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1 Iterative Multiuser Receivers: Bits to System Design Mark C. Reed National ICT Australia, Australian National University, Canberra, Australia Mark C. Reed, May 2nd, 2003

2 Introduction The DS/CDMA System/Channel Model The Problem Channel Model and Receiver Design Implementation Aspects Single Cell BER Performance Results (1 Antenna / 4 Antennas) System Benefits of Result Open Issues (Practical and Theoretical) Mark C. Reed, May 2nd,

3 The Multiuser DS/CDMA System/Channel Model User 1 Matched Filter 1 User K Noise Matched Filter K Each User transmits with excess bandwidth (Processing Gain) Matched filter is optimum only when a single user is present Mark C. Reed, May 2nd,

4 The Problem To Achieve Capacity for a Multiple Access Channel The Optimal Solution is exponentially complex in the number of users (Verdú) (need to search every combination (000,001,010,011,100,101,110,111)) The Traditional Solutions use : Linear/Non-Linear (Decorrelator, etc.) Uncoded Techniques (MMSE, etc.) These Solutions are suboptimal or very complex Ideally we need a solution that is: Linear in Complexity and approaches Optimum Performance Mark C. Reed, May 2nd,

5 Channel Model and Receiver Diagram Input Signal Inner Code Outer Code Interl. Inner Code Int A-Priori Information De-Int Generally Conv. Code (CDMA Channel, ISI Channel, Convolutional Code) Outer Code Output Bits Model consists of inner and outer code Important is that each code is seperated by an interleaver Mark C. Reed, May 2nd,

6 Generalised Code Construction T T T T + Consists of a delay line with multiple taps Normally Single Input Single/Multiple Outputs Generalised Channel Description y = Hd + n Mark C. Reed, May 2nd,

7 Interference Cancellation Inner Decoder is still very computationally complex We rearrange the MF-DS/CDMA channel model by writing it as y = d + Md + z We then cancel the off-diagonals with our data estimate d x = y M d = Id + Md M d + z = d + M(d d) + z. Following de-interleaving we assume the noise is again white, therefore x = d + M(d d) + n. Mark C. Reed, May 2nd,

8 Other Known Applications Applications are not just for multi-user channels Multi-Carrier CDMA ISI Channels E 2 PR4 channels etc (Magnetic Recording) OFDM Channels (likely) Multiuser Trellis coded (QAM) systems Mark C. Reed, May 2nd,

9 Computational Complexity Complexity vs. Number of users Complexity of MUD is aproximately 10 times MF Complexity of Optimum (Verdú) Receiver is O(2 K ) Mark C. Reed, May 2nd,

10 Implementation Aspects Modular Implementation, Possible to Translate to DSP/VHDL Implementation Possible to increase stages and Users as needed Mark C. Reed, May 2nd,

11 Single Cell BER Performance Results 25 Users, Processing Gain 16 Veh. A Channel, 50km/hr (Freq. Selective Fading, Fading on each Tap) 3GPP Release 99 Compliant Single User Performance = Solid line Performance over iterations shown Mark C. Reed, May 2nd,

12 Single Cell BER Performance Results - 4 Antennas 70 Users, Processing Gain 16, 4 Antennas (ULA) Veh. A Channel, 50km/hr (Frequency Selective Fading, Fading on each Tap) 3GPP Release 99 Compliant Single User Performance = Solid line Performance over iterations shown Mark C. Reed, May 2nd,

13 What do these results mean? In terms of System Benefit? (Capacity-Cell Size) In terms of Provider Benefit? ( $$$!! ) For this we need to study the system aspects! Multi-cell Environment Power Control Intra/Inter Cell Interference Mark C. Reed, May 2nd,

14 System Level Results Capacity Gain is from 2.5 to 7.5 users per cell (3 times increase) Coverage Gain is from 2.7 km to 3.4 km (increase of 1.5 times) Mark C. Reed, May 2nd,

15 Practical Open Issues Implementation Aspects Packet Data Different Data Rates Efficient Implementation (Still 10x more complex than MF) Implementation of Tracking and Acquisition With high Interference System conventional approaches fail Mark C. Reed, May 2nd,

16 Theoretical Open Issues Analytical Tools Better tools to predict performance (Maybe Particle filters?) Analysis that includes channel estimation/tracking/different data rates Performance Limits in terms of: Capacity Cramer Rao Bounds Mark C. Reed, May 2nd,

17 Conclusions Discussed Multiuser Detection Problem in DS/CDMA Discussed iterative MUD Solution Highlighted model and design Showed Implementation Aspects Showed BER Performance Considered System (Cellular) Aspects and Results Open Issues (Theoretical and Practical) Mark C. Reed, May 2nd,

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