About construction of orthogonal wavelets with compact support and with scaling coefficient N

TL;DR

This paper presents a straightforward method for constructing orthogonal wavelets with compact support for any natural scaling coefficient N, including explicit examples for N=2 and N=3.

Contribution

The paper introduces a simple, general construction method for orthogonal wavelets with compact support applicable to any natural scaling coefficient N.

Findings

Constructed wavelets for N=2 and N=3 as examples.

Provided a general method applicable to any N≥2.

Demonstrated the feasibility of the construction approach.

Abstract

In this paper a simple method of construction of scaling function $\phi (x)$ and orthogonal wavelets with the compact support for any natural coefficient of scaling $N\ge 2$ is given. Examples of construction of wavelets for coefficients of scaling N=2 and N=3 are produced.