Using the Bhattacharyya parameter for design and analysis of cooperative wireless systems

A simplified method of analysis and design based on the Bhattacharyya parameter (BP) in conjunction with the union bound and weight enumeration is presented for relay channels using coded cooperation. This method is particularly suitable for low-complexity relay systems employing demodulate-and-forward, focusing on the problems of relay selection and outage analysis. These applications are chosen to illustrate the use of the BP in scenarios where analytical solutions are otherwise unattainable. In terms of relay selection, it is shown that BP-based relay selection has essentially the same performance as density evolution, though with much lower complexity. It is further shown that BP-based relay selection can be applied to fractional cooperation, where each relay only forwards a fraction of the source codeword. In terms of analysis, it is shown that weight enumeration with BP can be used to provide a close approximate to the upper bound on the outage probability of fractional cooperation, again with much lower computational complexity than density evolution.

[1]  Luc Vandendorpe,et al.  Soft Decode and Forward Improves Cooperative Communications , 2005 .

[2]  Brendan J. Frey,et al.  Factor graphs and the sum-product algorithm , 2001, IEEE Trans. Inf. Theory.

[3]  Shu Lin,et al.  Error Control Coding , 2004 .

[4]  Ashutosh Sabharwal,et al.  On the Capacity of 'Cheap' Relay Networks , 2003 .

[5]  B. Aazhang,et al.  Sensitivity of achievable rates for half-duplex relay channel , 2005, IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005..

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

[7]  Rüdiger L. Urbanke,et al.  The capacity of low-density parity-check codes under message-passing decoding , 2001, IEEE Trans. Inf. Theory.

[8]  Aggelos Bletsas,et al.  A simple Cooperative diversity method based on network path selection , 2005, IEEE Journal on Selected Areas in Communications.

[9]  J. Omura,et al.  Coded Error Probability Evaluation for Antijam Communication Systems , 1982, IEEE Trans. Commun..

[10]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[11]  Dariush Divsalar,et al.  Coding theorems for 'turbo-like' codes , 1998 .

[12]  Raviraj S. Adve,et al.  Improving amplify-and-forward relay networks: optimal power allocation versus selection , 2006, IEEE Transactions on Wireless Communications.

[13]  Shu Lin,et al.  Error control coding : fundamentals and applications , 1983 .

[14]  J. Nicholas Laneman,et al.  Modulation and demodulation for cooperative diversity in wireless systems , 2006, IEEE Transactions on Wireless Communications.

[15]  Raviraj S. Adve,et al.  Low complexity and fractional coded cooperation for wireless networks , 2008, IEEE Transactions on Wireless Communications.

[16]  Hayder Radha,et al.  Optimal Progressive Error Recovery for Wireless Sensor Networks using Irregular LDPC Codes , 2007, 2007 41st Annual Conference on Information Sciences and Systems.

[17]  Andrei V. Kelarev,et al.  The Theory of Information and Coding , 2005 .

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

[19]  Tiffany Jing Li,et al.  Efficient Message Relaying for Wireless User Cooperation: Decode-Amplify-Forward (DAF) and Hybrid DAF and Coded-Cooperation , 2007, IEEE Transactions on Wireless Communications.

[20]  Shuangqing Wei,et al.  Diversity–Multiplexing Tradeoff of Asynchronous Cooperative Diversity in Wireless Networks , 2007, IEEE Transactions on Information Theory.

[21]  Emina Soljanin,et al.  Incremental Redundancy Cooperative Coding for Wireless Networks: Cooperative Diversity, Coding, and Transmission Energy Gains , 2006, IEEE Transactions on Information Theory.

[22]  Raviraj S. Adve,et al.  Selection cooperation in multi-source cooperative networks , 2008, IEEE Transactions on Wireless Communications.

[23]  Robert J. McEliece,et al.  The Theory of Information and Coding , 1979 .

[24]  Raviraj S. Adve,et al.  Relay Selection for Low-Complexity Coded Cooperation , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[25]  Thomas E. Fuja,et al.  Bilayer Low-Density Parity-Check Codes for Decode-and-Forward in Relay Channels , 2006, IEEE Transactions on Information Theory.

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

[27]  Dennis Goeckel,et al.  Asynchronous cooperative diversity , 2006, IEEE Transactions on Wireless Communications.

[28]  Masoud Ardakani,et al.  A more accurate one-dimensional analysis and design of irregular LDPC codes , 2004, IEEE Transactions on Communications.

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

[30]  Emina Soljanin,et al.  Reliable channel regions for good binary codes transmitted over parallel channels , 2006, IEEE Transactions on Information Theory.

[31]  Raviraj S. Adve,et al.  Fractional Cooperation using Coded Demodulate-and-Forward , 2007, IEEE GLOBECOM 2007 - IEEE Global Telecommunications Conference.

[32]  Jaekyun Moon,et al.  A low-density generator matrix interpretation of parallel concatenated single bit parity codes , 2001 .

[33]  Amin Shokrollahi,et al.  LDPC Codes: An Introduction , 2004 .

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

[35]  Idan Goldenberg,et al.  Coding for Parallel Channels: Gallager Bounds and Applications to Turbo-Like Codes , 2007, IEEE Transactions on Information Theory.

[36]  M. Darnell,et al.  Error Control Coding: Fundamentals and Applications , 1985 .

[37]  Dariush Divsalar,et al.  Accumulate repeat accumulate codes , 2004, IEEE Global Telecommunications Conference, 2004. GLOBECOM '04..

[38]  Norman C. Beaulieu,et al.  On Antijamming in General CDMA Systems-Part II: Antijamming Performance of Coded Multicarrier Frequency-Hopping Spread Spectrum Systems , 2008, IEEE Transactions on Wireless Communications.