Distributed Totally Decomposed Cumulative Goppa Coded-Cooperative Communication with Optimized Selection in the Relay

Daniel Kariuki Waweru, Fengfan Yang, Chunli Zhao, Lawrence Muthama Paul, and Hongjun Xu


Abstract : In this paper, powerful induced-cyclic totally decom- posed cumulative Goppa (TDCG) codes are selected and used for coded-cooperative diversity, which can fit wireless communication applications. Two TDCG codes employed at the source and relay nodes establish the joint design of the destination channel code. In the cooperation phase, we consider an optimized relay channel code which improves the overall bit-error-rate (BER) performance. Two methods of optimization are explored. The most practical method for optimization in terms of reduced processing complexity is proposed. We use a joint decoding which exploits all the resources gained by the cooperation scheme at the destination. The BER performance is evaluated through Monte-Carlo simulations with BPSK modulation and coherent detection over the flat Rayleigh fading channel. The proposed TDCG coded-cooperative diversity scheme exhibit a better BER performance than the non-cooperation scheme and other existing coded cooperation methods of similar code rates under similar channel conditions.​

Index terms : Coded-cooperative communication system, joint decoding, optimized relay channel, totally decomposed cumulative Goppa codes.