New Design of Wavelets Based on the Convolution of Compactly Supported Functions with a Rectangular Pulse
Viktor F. Kravchenko, Ya. Yu. Konovalov · Journal of Communications Technology and Electronics · 2022
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.