The wavelet transform of periodic function and nonstationary periodic function

被引：0
|
作者：
Liu Hai-feng
Zhou Wei-xing
Wang Fu-chen
Gong Xin
Yu Zun-hong
机构：
[1] East China University of Science and Technology,College of Resource and Environmental Engineering
来源：
Applied Mathematics and Mechanics | 2002年 / 23卷 / 9期
关键词：
wavelet transform; periodic function; nonstationary periodic function; Fourier transform; O174;
D O I：
10.1007/BF02437717
中图分类号：
学科分类号：
摘要：
Some properties of the wavelet transform of trigonometric function, periodic function and nonstationary periodic function have been investigated. The results show that the peak height and width in wavelet energy spectrum of a periodic function are in proportion to its period. At the same time, a new equation, which can truly reconstruct a trigonometric function with only one scale wavelet coefficient, is presented. The reconstructed wave shape of a periodic function with the equation is better than any term of its Fourier series. And the reconstructed wave shape of a class of nonstationary periodic function with this equation agrees well with the function.
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页码：1062 / 1070
页数：8
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