Abstract
By using a modified Fano algorithm, soft decision sequential decoding has been attempted for length 15 Reed Solomon (RS) codes. The performance produced by the sequential decoding of RS codes has been compared with both hard decision and soft decision maximum likelihood performance. The simulation results for the (15,11) RS code showed that soft decision sequential decoding would give about 4·5 dB coding gain around 10−6 bit error rate (BER). At the same BER condition, the simulation result for the (15,9) RS code produced about 5·2dB coding gain. In the computational timing respect, sequential decoding showed an improvement by a factor of several thousands compared with Viterbi decoding. It is also shown that the proposed sequential decoding for the (15,9) RS code can produce a performance and computational efficiency comparable with the Viterbi decoder for the constraint length 7 rate ½ convolutional code.
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