Copy Theory of Generalized Walsh Function and Its Application

Zhu Nanzhi

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Copy Theory of Generalized Walsh Function and Its Application

更新时间：2025-12-08

- Copy Theory of Generalized Walsh Function and Its Application
- Acta Electronica Sinica Issue 1, (1994)
- 作者机构：
  
  1. 北京电子科学研究院
  2. 北京航空航天大学电子工程系
  3. 北京电子科学研究院北京航空航天大学电子工程系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN919.1
- Published：1994
- 稿件说明：
移动端阅览
[1]竺南直,张其善.广义沃尔什函数复制理论及其应用[J].电子学报,1994(01):32-37.

Zhu Nanzhi. Copy Theory of Generalized Walsh Function and Its Application[J]. Acta Electronica Sinica, 1994, (1).
[1]竺南直,张其善.广义沃尔什函数复制理论及其应用[J].电子学报,1994(01):32-37. DOI：

Zhu Nanzhi. Copy Theory of Generalized Walsh Function and Its Application[J]. Acta Electronica Sinica, 1994, (1). DOI：

摘要

本文在进一步探讨广义沃尔什函数构造特点的基础上，提出了广义沃尔什函数的复制理论。然后利用复制理论导出了不同编序广义沃尔什函数用广义拉德梅克函数连乘表示的统一定义式，最后，将广义沃尔什函数的复制生成方式与方块脉冲函数的移位方式相结合，构造了一类更为广泛的多值正交函数系，称之为广义桥函数，广义沃尔什函数、沃特利函数等都是它的一个子集。

Abstract

The copy theory of generalized Walsh function is first introduced in this paper. And then the relation between the generalized Radamche function and the generalized shift copying is discussed in detail.The general presentation of generalized Walsh function with different ordering is derived by means of the multiplication of generalized Radamache function. Finally

the generalized Bridge function is constructed using the copy theory. A lot of multi-valued orthogonal function

such as Watari function

can be derived from it.The copy theory can also be used in the field of mult-valued logic.

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