| 在列率域上的特征函数 |
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| 引用本文： | 汤国熙.在列率域上的特征函数[J].天津理工大学学报,1993(Z1). |
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| 作者姓名： | 汤国熙 |
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| 摘 要： | 在随机系统的分析中,许多问题可以借助特征函数得出简单的解法。本文是模拟 Fourier分析,引出 Walsh(沃尔什)分析。首先引入二进导数的概念,并用数学期望的概念来定义 Walsh 特征函数,对所对应的 Walsh 特征函数,经过 Gibbs 导数运算子,导出了矩的概念和性质,而且介绍了矩的计算法。同时也导出了研究函数的二进(逻辑)导数的 Walsh 变换结果。本文仅对一个随机变量的情况进行研究。
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| 关 键 词： | 沃尔什特征函数 二进(逻辑)导数 列率 |
On Characteristic Functions In the Sequency Domain |
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| Tang Guoxi.On Characteristic Functions In the Sequency Domain[J].Journal of Tianjin University of Technology,1993(Z1). |
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| Authors: | Tang Guoxi |
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| Institution: | Mathematical Department |
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| Abstract: | In this paper,a Walsh characteristic function is defined as the mathematical expecta- tion of the Walsh function. We through the dyadic derivative operator obtain a moment of corresponding Walsh characteristic function in the Walsh analysis.The result is similar result of in the form of the classical in the Fourier analysis. The dyadic derivative operator is introduced by Gibbs1]firstly,and that is intro- duced to discrete Walsh analysis.Afterward,Pichler2]extend to the continuous cause. |
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| Keywords: | Walsh Characteristic function Dyadic(Logical)Derivate Sequency |
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