Performance of Errors-and-Erasures Decoded Reed-Solomon Codes over Frequency-Selective Rayleigh Fading Channels using $M$-ary Orthogonal Signaling

摘要

The performance of Reed-Solomon (RS) codes is investigated over frequency-selective Rayleigh fading channels using $M$-ary orthogonal signalling schemes. ‘Errors-and-erasures’ decoding (E2D) is considered, where erasures are judged based on Viterbi’s ratio threshold test (RTT) and on the basis of the output likelihood ratio threshold test (LRT2). The LRT2 technique is compared with Viterbi’s RTT and both of these are compared to receivers using ‘error-correction only’ decoding (ECOD) over frequency-selective Rayleigh-fading channels. The numerical results show that upon using E2D, RS codes of a given code rate can achieve higher coding gain, than that without erasure information, and that the LRT2 technique outperforms the RTT, provided that both schemes are operated at the optimum decision thresholds.