Abstract

A new design of wavelets based on the convolution of a compactly supported function with a rectangular pulse is proposed and theoretically substantiated and an efficient scheme for calculating wavelet values is presented. The uncertainty constants are calculated. It is established that the obtained wavelets have properties similar to those of the Meyer and Kravchenko wavelets but surpass the latter in the time‒frequency localization quality.

中文翻译：

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基于紧支函数与矩形脉冲卷积的小波新设计

摘要

提出了一种基于紧支撑函数与矩形脉冲卷积的新小波设计，并在理论上得到了证实，并提出了一种计算小波值的有效方案。计算不确定性常数。确定获得的小波具有类似于 Meyer 和 Kravchenko 小波的性质，但在时频定位质量上优于后者。