Half-Duplex Estimate-and-Forward Relaying: Bounds and Code Design

We propose a practical coding scheme for half-duplex estimate-and-forward relaying. The proposed construction is guided by the information theoretic coding scheme for the estimate-and-forward relay protocol. Our construction incorporates several design features to reduce receiver complexity without compromising performance. Observing that the relaying gain is significant only at low SNRs, we use binary LDPC codes in the source broadcast phase of relaying. Estimation is performed by entropy constrained scalar quantization of the received signal at the relay. Finally, a procedure similar to maximal ratio combining is used to aggregate direct and relayed signals at the destination. An important practical advantage of our scheme is that it does not require source-relay symbol synchronization. The codes outperform direct and two-hop channel capacities, as well as decode-and-forward relaying when the relay-destination link is strong

[1]  Elza Erkip,et al.  Cooperative coding for wireless networks , 2002, IEEE Transactions on Communications.

[2]  A. H. W. Zhang,et al.  Capacity-Approaching Turbo Coding For Half-Duplex Relaying , 2007, IEEE Transactions on Communications.

[3]  Elza Erkip,et al.  User cooperation diversity. Part I. System description , 2003, IEEE Trans. Commun..

[4]  Zixiang Xiong,et al.  Wyner-Ziv coding for the half-duplex relay channel , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[5]  Aria Nosratinia,et al.  Coded cooperation in wireless communications: space-time transmission and iterative decoding , 2004, IEEE Transactions on Signal Processing.

[6]  E. Meulen,et al.  Three-terminal communication channels , 1971, Advances in Applied Probability.

[7]  Aaron D. Wyner,et al.  The rate-distortion function for source coding with side information at the decoder , 1976, IEEE Trans. Inf. Theory.

[8]  Aaron D. Wyner,et al.  The rate-distortion function for source coding with side information at the decoder , 1976, IEEE Trans. Inf. Theory.

[9]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[10]  M.A. Khojastepour,et al.  Code design for the relay channel and factor graph decoding , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

[11]  David L. Neuhoff,et al.  Performance of low rate entropy-constrained scalar quantizers , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[12]  John G. Proakis,et al.  Digital Communications , 1983 .

[13]  Ashutosh Sabharwal,et al.  On capacity of Gaussian 'cheap' relay channel , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[14]  Zheng Zhang,et al.  Capacity approaching codes for relay channels , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[15]  Gerhard Kramer Communication Strategies and Coding for Relaying , 2007 .

[16]  Anders Høst-Madsen,et al.  Capacity bounds and power allocation for wireless relay channels , 2005, IEEE Transactions on Information Theory.

[17]  Abbas El Gamal,et al.  Capacity theorems for the relay channel , 1979, IEEE Trans. Inf. Theory.

[18]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[19]  Ashutosh Sabharwal,et al.  LDPC Code Design for Half-Duplex Decode-and-Forward Relaying , 2005 .

[20]  Yingbin Liang,et al.  Gaussian orthogonal relay channels: optimal resource allocation and capacity , 2005, IEEE Transactions on Information Theory.

[21]  Zheng Zhang,et al.  Capacity Approaching Turbo Coding For Half-Duplex Relaying , 2007, IEEE Trans. Commun..

[22]  Yongyi Mao,et al.  Rateless coding for wireless relay channels , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[23]  Matthew C. Valenti,et al.  Distributed turbo coded diversity for relay channel , 2003 .

[24]  Helmut Bölcskei,et al.  Fading relay channels: performance limits and space-time signal design , 2004, IEEE Journal on Selected Areas in Communications.