Abstract

The most known and practically used coding/decoding schemes are investigated. The results of the analysis of algorithmic complexity and simulation of the operation of coding schemes for Gaussian channels show that only multi-threshold decoders of convolutional codes outperform all others for all considered block sizes and coding rates. The multithreshold decoder (MTD) is a development of the simplest Messian threshold decoder with an additional difference register added. This decoder allows decoding block and convolutional self-orthogonal codes. The operating principles of convolutional encoders are considered in detail, the characteristics of multithreshold decoders and the Viterbi decoder for convolutional codes are compared. The best self-orthogonal codes for MTD are chosen, the efficiency of MTD in channels with additive white Gaussian noise is studied. An algorithm for increasing the performance of multithreshold decoding (MTD) based on the optimization of the MTD parameters of symbolic self-orthogonal codes is proposed.

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