Error Rate Analysis of GF(q) Network Coded Detect-and-Forward Wireless Relay Networks Using Equivalent Relay Channel Models

This paper investigates simple means of analyzing the error rate performance of a general q-ary Galois Field network coded detect-and-forward cooperative relay network with known relay error statistics at the destination. Equivalent relay channels are used in obtaining an approximate error rate of the relay network, from which the diversity order is found. Error rate analyses using equivalent relay channel models are shown to be closely matched with simulation results. Using the equivalent relay channels, low complexity receivers are developed whose performances are close to that of the optimal maximum likelihood receiver.

[1]  Ming Xiao,et al.  M-user cooperative wireless communications based on nonbinary network codes , 2009, 2009 IEEE Information Theory Workshop on Networking and Information Theory.

[2]  Dongsik Kim,et al.  Improved Network-Coded Cooperative Transmission with Low-Complexity Adaptation to Wireless Channels , 2011, IEEE Transactions on Communications.

[3]  Georgios B. Giannakis,et al.  High-Performance Cooperative Demodulation With Decode-and-Forward Relays , 2007, IEEE Transactions on Communications.

[4]  Abbas Jamalipour,et al.  Wireless communications , 2005, GLOBECOM '05. IEEE Global Telecommunications Conference, 2005..

[5]  Branka Vucetic,et al.  Generalized distributed network coding based on nonbinary linear block codes for multi-user cooperative communications , 2010, 2010 IEEE International Symposium on Information Theory.

[6]  Jianhua Ge,et al.  Performance Analysis of Differential Modulation and Relay Selection with Detect-and-Forward Cooperative Relaying , 2011, IEEE Communications Letters.

[7]  Ming Xiao,et al.  Design of Network Codes for Multiple-User Multiple-Relay Wireless Networks , 2009, IEEE Transactions on Communications.

[8]  Marco Di Renzo,et al.  On Diversity Order and Coding Gain of Multisource Multirelay Cooperative Wireless Networks With Binary Network Coding , 2011, IEEE Transactions on Vehicular Technology.

[9]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[10]  Leszek Szczecinski,et al.  Detect-and-forward in two-hop relay channels: a metrics-based analysis , 2010, IEEE Transactions on Communications.

[11]  J.E. Mazo,et al.  Digital communications , 1985, Proceedings of the IEEE.

[12]  Ming Xiao,et al.  Optimal Decoding and Performance Analysis of a Noisy Channel Network with Network Coding , 2009, IEEE Transactions on Communications.

[13]  Maria Huhtala,et al.  Random Variables and Stochastic Processes , 2021, Matrix and Tensor Decompositions in Signal Processing.

[14]  Branka Vucetic,et al.  Multiuser Cooperative Diversity Through Network Coding Based on Classical Coding Theory , 2010, IEEE Transactions on Signal Processing.

[15]  Marco Di Renzo,et al.  Diversity, coding, and multiplexing trade-off of network-coded cooperative wireless networks , 2012, 2012 IEEE International Conference on Communications (ICC).

[16]  Bruno O. Shubert,et al.  Random variables and stochastic processes , 1979 .

[17]  Marco Di Renzo,et al.  Closed-Form Error Probability of Network-Coded Cooperative Wireless Networks with Channel-Aware Detectors , 2011 .

[18]  Hsiao-Hwa Chen,et al.  Cooperative communication with network coding , 2012, 2012 IEEE 16th International Symposium on Consumer Electronics.

[19]  Murat Uysal,et al.  Error Rate Performance of Network-Coded Cooperative Diversity Systems , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[20]  Branka Vucetic,et al.  Adaptive Distributed Network-Channel Coding , 2011, IEEE Transactions on Wireless Communications.

[21]  Andres Kwasinski,et al.  Cooperative Communications and Networking , 2009 .

[22]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[23]  Rudolf Ahlswede,et al.  Network information flow , 2000, IEEE Trans. Inf. Theory.

[24]  I. Miller.  Probability, Random Variables, and Stochastic Processes , 1966 .

[25]  L. Chu,et al.  Performance analysis and code design of distributed space-time trellis codes for the detection-and-forward systems , 2008, 2008 Australian Communications Theory Workshop.

[26]  Jinhong Yuan,et al.  Differential Modulation and Relay Selection With Detect-and-Forward Cooperative Relaying , 2010, IEEE Transactions on Vehicular Technology.

[27]  Zhou Wuyang,et al.  Cooperative communication with network coding in GF(2 n ) , 2009 .

[28]  Yonghui Li,et al.  Joint Relay Selection and Network Coding Using Decode-and-Forward Protocol in Two-Way Relay Channels , 2010, 2010 IEEE Global Telecommunications Conference GLOBECOM 2010.

[29]  Mazen O. Hasna,et al.  Harmonic mean and end-to-end performance of transmission systems with relays , 2004, IEEE Transactions on Communications.

[30]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

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

[32]  A. Field.  Communications , 1963, The Journal of Asian Studies.