New Design of Wavelets Based on the Convolution of Compactly Supported Functions with a Rectangular Pulse

被引:1
|
作者
Kravchenko, V. F. [1 ,2 ,3 ]
Konovalov, Ya. Yu. [3 ]
机构
[1] Russian Acad Sci, Kotelnikov Inst Radioengn & Elect, Moscow 125009, Russia
[2] Russian Acad Sci, Sci & Technol Ctr Unique Instrumentat, Moscow 117342, Russia
[3] Bauman Moscow State Tech Univ, Moscow 105005, Russia
关键词
ATOMIC FUNCTIONS;
D O I
10.1134/S1064226922080095
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
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.
引用
收藏
页码:952 / 964
页数:13
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