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在本文中，从沃尔什函数的二值特点出发，讨论了有关沃尔什函数的几个特殊问题。在定序 问题上，通过二进制码与格雷码间的转换，列出三种序数－序率序数、二进制序数与哈德玛矩阵 序数一之间的转换规则。在时移问题上，通过相关函数、卷积定理和功率谱定理来理解“并矢时 间”这一新概念的意义。在序谱分析和对沃尔什波的谐振问题上，指出沃尔什函数的一些特点。 本文的目的在于：根据沃尔什函数的本质特性，针对几个存在有争议的问题，作一简要的评述和分析，为进一步开展这方面的研究工作提供参考。
In this paper, starting from the binary features of Walsh functions, several special problems about Walsh functions are discussed. In the sequence problem, the transformation rules between binary code and Gray code are listed, and the conversion rules between three kinds of ordinal numbers - ordinal ordinal number, binary ordinal number and Hadamard ordinal number one are listed. On the time-shift problem, we can understand the meaning of the new concept of “parallel time” through the correlation function, convolution theorem and power spectrum theorem. On the spectral analysis and resonance of Walsh wave, some characteristics of Walsh function are pointed out. The purpose of this paper is to make a brief review and analysis of several controversial issues based on the essential nature of the Walsh function and provide references for further research in this field.