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- Title
The wavelet transform of periodic function and nonstationary periodic function.
- Authors
Hai-feng, Liu; Wei-xing, Zhou; Fu-chen, Wang; Xin, Gong; Zun-hong, Yu
- Abstract
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.
- Subjects
PERIODIC functions; TRIGONOMETRIC functions; WAVELETS (Mathematics); FOURIER series; NUMERICAL solutions to equations
- Publication
Applied Mathematics & Mechanics, 2002, Vol 23, Issue 9, p1062
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/BF02437717