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。
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.
出处
《电子学报》
EI
CAS
CSCD
北大核心
1994年第1期32-37,共6页
Acta Electronica Sinica
基金
电子科学基金
关键词
沃尔什函数
复制理论
桥函数
Generalized Walsh function, Copy theory, Generalized Bridge function, General presentation, Watari function
