Krawtchouk transforms and convolutions

被引：2

作者：

Feinsilver, Philip ^{[1
]}

Schott, Rene ^{[1
]}

机构：

[1] Southern Illinois Univ, Dept Math, Carbondale, IL 62901 USA

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2020年 / 10卷 / 03期

关键词：

Krawtchouk polynomials; orthogonal polynomials; convolution; probability theory; Fourier analysis; POLYNOMIALS; THEOREM;

D O I：

10.1142/S1664360719500097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present an operator calculus based on Krawtchouk polynomials, including Krawtchouk transforms and corresponding convolution structure which provides an inherently discrete alternative to Fourier analysis. This approach is well suited for applications such as digital image processing. This paper includes the theoretical aspects and some basic examples.

引用

页数：18

共 21 条

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