Meyer wavelets with scaling factor $N>2$

TL;DR

This paper introduces a generalization of Meyer wavelets for any integer scaling factor greater than two, providing explicit formulas for their frequency functions and filters.

Contribution

It defines Meyer wavelets with arbitrary scaling factors greater than two using multi-scaling wavelets, expanding the theoretical framework.

Findings

Explicit expressions for frequency functions are derived.

Filters corresponding to these wavelets are characterized.

The approach generalizes existing Meyer wavelet constructions.

Abstract

In this paper, Meyer wavelets with an arbitrary integer scaling factor $N>2$ are defined using wavelets with multiple scaling factors $MN>2$. Expressions for frequency functions of wavelets and corresponding filters are obtained.