Optimized Construction of Reed-Solomon Coded Cooperative MIMO System Based on Network Coding

Abstract

To significantly enhance the reliability and spectral efficiency of small data block transmission, this paper presents a novel network-coding-based Reed-Solomon coded cooperative multiple-input multiple-output (NC-RSCC-MIMO) system. The system consists of two single-antenna source nodes operating in full-duplex mode and one multi-antenna destination node, where the sources achieve cooperation through network coding, enabling the destination to generate two equivalent linear block codes. In the NC-RSCC-MIMO system, the selection method of network coding coefficient combination (NCCC) influences the codeword weight distribution of the equivalent codes at the destination. In order to optimize the codeword weight distribution for enhanced system construction, this paper proposes two optimized algorithms, i.e., optimal NCCC selection (ONCCCS) and low-complexity optimized NCCC selection (LC-ONCCCS) algorithms. Also, leveraging the parallel feature of the proposed NC-RSCC-MIMO system, a joint RS decoding strategy is designed at the destination to achieve efficient decoding of the two equivalent codes. Monte Carlo simulations show both ONCCCS and LC-ONCCCS algorithms improve error performance with minimal difference between them, and provide better performance gains over the random NCCC selection algorithm. The results also indicate that the NC-RSCC-MIMO system outperforms non-cooperative and existing counterparts by larger than 1.1 dB and 1 dB, respectively.