Source and channel coding for cooperative relaying

We consider the end-to-end distortion achieved by a half-duplex relay system where a continuous amplitude source is transmitted over a quasi-static Rayleigh fading channel. We investigate layered source coding (LS) where different source layers are sent at different times. The relay only forwards the important layers, leading to higher multiplexing gains. Alternatively, different source layers can be superimposed using a broadcast code (BS). The third strategy we consider is uncoded transmission (UT) followed by amplify-and-forward relaying. In all cases we perform a high SNR analysis and find the optimal distortion exponent which is the exponential decay rate of expected distortion with increasing SNR. We show that layered compression and broadcast coding is optimal in distortion exponent sense for large bandwidth expansions.

[1]  Nam C. Phamdo,et al.  Hybrid digital-analog (HDA) joint source-channel codes for broadcasting and robust communications , 2002, IEEE Trans. Inf. Theory.

[2]  Michael Gastpar,et al.  Cooperative strategies and capacity theorems for relay networks , 2005, IEEE Transactions on Information Theory.

[3]  K.J.R. Liu,et al.  Joint source coding diversity and cooperative diversity for multimedia communications , 2005, IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005..

[4]  Andrea J. Goldsmith,et al.  Optimizing end-to-end distortion in MIMO systems , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[5]  Deniz Gündüz,et al.  Joint source-channel cooperation: diversity versus spectral efficiency , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..

[6]  V. Pagurova Tables of the Exponential Integral , 1961 .

[7]  G. Caire,et al.  On the Distortion Exponent of Some Layered Transmission Schemes , 2006, 2006 Fortieth Asilomar Conference on Signals, Systems and Computers.

[8]  Suhas N. Diggavi,et al.  On opportunistic codes and broadcast codes with degraded message sets , 2006, 2006 IEEE Information Theory Workshop - ITW '06 Punta del Este.

[9]  Toby Berger,et al.  All sources are nearly successively refinable , 2001, IEEE Trans. Inf. Theory.

[10]  William Equitz,et al.  Successive refinement of information , 1991, IEEE Trans. Inf. Theory.

[11]  Deniz Gündüz,et al.  Layered cooperative source and channel coding , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[12]  T.A. Ramstad,et al.  Quantizer optimization in hybrid digital-analog transmission of analog source signals , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[13]  Mikael Skoglund,et al.  Design and performance of VQ-based hybrid digital-analog joint source-channel codes , 2002, IEEE Trans. Inf. Theory.

[14]  Tamás Linder,et al.  On the asymptotic tightness of the Shannon lower bound , 1994, IEEE Trans. Inf. Theory.

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

[16]  Peter No,et al.  Digital Coding of Waveforms , 1986 .

[17]  Hamid Jafarkhani,et al.  Optimal Layered Transmission Over Quasi-Static Fading Channels , 2006, 2006 IEEE International Symposium on Information Theory.

[18]  Suhas N. Diggavi,et al.  Fundamental limits of diversity-embedded codes over fading channels , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[19]  Lizhong Zheng,et al.  Diversity and multiplexing: a fundamental tradeoff in multiple-antenna channels , 2003, IEEE Trans. Inf. Theory.

[20]  Narayan Prasad,et al.  CTH17-3: High Performance Static and Dynamic Cooperative Communication Protocols for the Half Duplex Fading Relay Channel , 2006, IEEE Globecom 2006.

[21]  Thomas M. Cover,et al.  Broadcast channels , 1972, IEEE Trans. Inf. Theory.

[22]  Shlomo Shamai,et al.  A broadcast strategy for the Gaussian slowly fading channel , 1997, Proceedings of IEEE International Symposium on Information Theory.

[23]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[24]  Gregory W. Wornell,et al.  Source-channel diversity for parallel channels , 2004, IEEE Transactions on Information Theory.

[25]  Elza Erkip,et al.  User cooperation diversity. Part II. Implementation aspects and performance analysis , 2003, IEEE Trans. Commun..

[26]  Shlomo Shamai,et al.  A broadcast approach for a single-user slowly fading MIMO channel , 2003, IEEE Trans. Inf. Theory.

[27]  Zhu Han,et al.  Cooperative multimedia communications: joint source coding and collaboration , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[28]  Stark C. Draper,et al.  Side information aware coding strategies for sensor networks , 2004, IEEE Journal on Selected Areas in Communications.

[29]  Paul L. Zador,et al.  Asymptotic quantization error of continuous signals and the quantization dimension , 1982, IEEE Trans. Inf. Theory.

[30]  Gregory W. Wornell,et al.  Comparing application- and physical-layer approaches to diversity on wireless channels , 2003, IEEE International Conference on Communications, 2003. ICC '03..

[31]  K. J. Ray Liu,et al.  Optimal Unequal Error Protection with User Cooperation for Transmission of Embedded Source-Coded Images , 2006, 2006 International Conference on Image Processing.

[32]  Elza Erkip,et al.  Multiple-Antenna Cooperative Wireless Systems: A Diversity–Multiplexing Tradeoff Perspective , 2007, IEEE Transactions on Information Theory.

[33]  Philip Schniter,et al.  On the achievable diversity-multiplexing tradeoff in half-duplex cooperative channels , 2005, IEEE Transactions on Information Theory.

[34]  E. Erkip,et al.  Source and Channel Coding for Quasi-Static Fading Channels , 2005, Conference Record of the Thirty-Ninth Asilomar Conference onSignals, Systems and Computers, 2005..

[35]  Mikael Skoglund,et al.  Hybrid Digital–Analog Source–Channel Coding for Bandwidth Compression/Expansion , 2006, IEEE Transactions on Information Theory.

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

[37]  Deniz Gündüz,et al.  Distortion Exponent of MIMO Fading Channels , 2006, 2006 IEEE Information Theory Workshop - ITW '06 Punta del Este.

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