Compress-Forward Coding With BPSK Modulation for the Half-Duplex Gaussian Relay Channel

This paper studies compress-forward (CF) coding with BPSK modulation for the half-duplex Gaussian relay channel. In CF relaying, Wyner-Ziv coding is applied at the relay to exploit the joint statistics between signals at the relay and the destination. We propose Slepian-Wolf coded nested scalar quan...

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Veröffentlicht in:	IEEE transactions on signal processing Jg. 57; H. 11; S. 4467 - 4481
Hauptverfasser:	Uppal, M., Zhixin Liu, Stankovic, V., Zixiang Xiong
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York, NY IEEE 01.11.2009 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Applied sciences Binary phase shift keying BPSK modulation Channels Codes Coding Coding, codes compress-forward Design optimization distributed joint source-channel coding Exact sciences and technology Gaussian Gaussian approximation Information, signal and communications theory Modulation Modulation coding Modulation, demodulation Multiplexing Noise levels Parity check codes Protection Protective relaying Quantization Relay relay channel Relaying Relays Sampling, quantization Signal and communications theory Statistics Telecommunications and information theory Wyner-Ziv coding Performance evaluation Multiplexing Relaying Relay BPSK modulation Gaussian channel Distributed source signal distributed joint source-channel coding Binary phase shift keying Joint source channel coding Information transmission compress-forward Wyner-Ziv coding Relay channel Gaussian process Simulation Signal quantization Signal processing Parity check codes Error correcting code Wyner Ziv problem Error correction
ISSN:	1053-587X, 1941-0476
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Abstract	This paper studies compress-forward (CF) coding with BPSK modulation for the half-duplex Gaussian relay channel. In CF relaying, Wyner-Ziv coding is applied at the relay to exploit the joint statistics between signals at the relay and the destination. We propose Slepian-Wolf coded nested scalar quantization (SWCNSQ) for practical Wyner-Ziv coding at the relay. We first provide the achievable rate of SWCNSQ based CF relaying as a performance benchmark, and then present a practical code design using low-density parity-check (LDPC) codes for error protection at the source, and nested scalar quantization plus irregular-repeat accumulation (IRA) codes for CF coding at the relay. The degree distributions of the LDPC and IRA codes are optimized using extrinsic information transfer charts and Gaussian approximation. Under discretized density evolution for asymptotically large block lengths, our optimized code design operates 0.11-0.21 dB away from the SWCNSQ limit for CF relaying. Simulations with LDPC/IRA codes of length 2 times 10 5 bits show a performance gap of 0.27-0.38 dB from the achievable rate.
AbstractList	The degree distributions of the LDPC and IRA codes are optimized using extrinsic information transfer charts and Gaussian approximation. This paper studies compress-forward (CF) coding with BPSK modulation for the half-duplex Gaussian relay channel. In CF relaying, Wyner-Ziv coding is applied at the relay to exploit the joint statistics between signals at the relay and the destination. We propose Slepian-Wolf coded nested scalar quantization (SWCNSQ) for practical Wyner-Ziv coding at the relay. We first provide the achievable rate of SWCNSQ based CF relaying as a performance benchmark, and then present a practical code design using low-density parity-check (LDPC) codes for error protection at the source, and nested scalar quantization plus irregular-repeat accumulation (IRA) codes for CF coding at the relay. The degree distributions of the LDPC and IRA codes are optimized using extrinsic information transfer charts and Gaussian approximation. Under discretized density evolution for asymptotically large block lengths, our optimized code design operates 0.11-0.21 dB away from the SWCNSQ limit for CF relaying. Simulations with LDPC/IRA codes of length 2 times 10 5 bits show a performance gap of 0.27-0.38 dB from the achievable rate. This paper studies compress-forward (CF) coding with BPSK modulation for the half-duplex Gaussian relay channel. In CF relaying, Wyner-Ziv coding is applied at the relay to exploit the joint statistics between signals at the relay and the destination. We propose Slepian-Wolf coded nested scalar quantization (SWCNSQ) for practical Wyner-Ziv coding at the relay. We first provide the achievable rate of SWCNSQ based CF relaying as a performance benchmark, and then present a practical code design using low-density parity-check (LDPC) codes for error protection at the source, and nested scalar quantization plus irregular-repeat accumulation (IRA) codes for CF coding at the relay. The degree distributions of the LDPC and IRA codes are optimized using extrinsic information transfer charts and Gaussian approximation. Under discretized density evolution for asymptotically large block lengths, our optimized code design operates 0.11-0.21 dB away from the SWCNSQ limit for CF relaying. Simulations with LDPC/IRA codes of length 2 times 10 super(5) bits show a performance gap of 0.27-0.38 dB from the achievable rate. This paper studies compress-forward (CF) coding with BPSK modulation for the half-duplex Gaussian relay channel. In CF relaying, Wyner-Ziv coding is applied at the relay to exploit the joint statistics between signals at the relay and the destination. We propose Slepian-Wolf coded nested scalar quantization (SWCNSQ) for practical Wyner-Ziv coding at the relay. We first provide the achievable rate of SWCNSQ based CF relaying as a performance benchmark, and then present a practical code design using low-density parity-check (LDPC) codes for error protection at the source, and nested scalar quantization plus irregular-repeat accumulation (IRA) codes for CF coding at the relay. The degree distributions of the LDPC and IRA codes are optimized using extrinsic information transfer charts and Gaussian approximation. Under discretized density evolution for asymptotically large block lengths, our optimized code design operates 0.11-0.21 dB away from the SWCNSQ limit for CF relaying. Simulations with LDPC/IRA codes of length 2times 10{5} {rm bits} show a performance gap of 0.27-0.38 dB from the achievable rate.
Author	Zhixin Liu Stankovic, V. Uppal, M. Zixiang Xiong
Author_xml	– sequence: 1 givenname: M. surname: Uppal fullname: Uppal, M. organization: Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX, USA – sequence: 2 surname: Zhixin Liu fullname: Zhixin Liu organization: Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX, USA – sequence: 3 givenname: V. surname: Stankovic fullname: Stankovic, V. organization: Dept. of Electron. & Electr. Eng., Univ. of Strathclyde, Glasgow, UK – sequence: 4 surname: Zixiang Xiong fullname: Zixiang Xiong organization: Dept. of Electr. & Comput. Eng., Texas A&M Univ., College Station, TX, USA
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Keywords	Performance evaluation Multiplexing Relaying Relay BPSK modulation Gaussian channel Distributed source signal distributed joint source-channel coding Binary phase shift keying Joint source channel coding Information transmission compress-forward Wyner-Ziv coding Relay channel Gaussian process Simulation Signal quantization Signal processing Parity check codes Error correcting code Wyner Ziv problem Error correction
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Snippet	This paper studies compress-forward (CF) coding with BPSK modulation for the half-duplex Gaussian relay channel. In CF relaying, Wyner-Ziv coding is applied at... The degree distributions of the LDPC and IRA codes are optimized using extrinsic information transfer charts and Gaussian approximation.
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SubjectTerms	Applied sciences Binary phase shift keying BPSK modulation Channels Codes Coding Coding, codes compress-forward Design optimization distributed joint source-channel coding Exact sciences and technology Gaussian Gaussian approximation Information, signal and communications theory Modulation Modulation coding Modulation, demodulation Multiplexing Noise levels Parity check codes Protection Protective relaying Quantization Relay relay channel Relaying Relays Sampling, quantization Signal and communications theory Statistics Telecommunications and information theory Wyner-Ziv coding
Title	Compress-Forward Coding With BPSK Modulation for the Half-Duplex Gaussian Relay Channel
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