Abstract

The paper describes an algorithm for optimal symbol-by-symbol reception of signal structures based on signals with multiphase keying and block correcting codes in non-binary Galois fields. It is shown that the basis of the developed algorithm for symbol-by-symbol reception is the spectral transform in the Walsh–Hadamard basis and the resulting complexity of the reception algorithm is determined by the dimension of the dual code, which makes it promising for block correction codes with a high code rate. The results of simulation of the reception algorithm are given in order to analyze the noise immunity of several signal structures based on phase-shift keyed signals and on parity-check codes in non-binary Galois fields.

中文翻译：

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非二进制伽罗瓦域中带校正码的相位键控信号的最佳逐符号接收的抗噪性分析

摘要

该论文描述了一种基于非二进制伽罗瓦域中的多相键控和块校正码的信号结构的最佳逐符号接收算法。结果表明，所开发的逐符号接收算法的基础是Walsh-Hadamard基中的频谱变换，接收算法的复杂度由对偶码的维数决定，这使得它有望用于码率高的块校正码。为了分析基于相移键控信号和非二进制伽罗瓦域奇偶校验码的几种信号结构的抗噪性，给出了接收算法的仿真结果。