WAVELET SPECTRA COMPARED TO FOURIER SPECTRA

被引：136

作者：

PERRIER, V ^{[1
]}

PHILIPOVITCH, T ^{[1
]}

BASDEVANT, C ^{[1
]}

机构：

[1] UNIV PARIS 13,ANALYSE GEOMETRIE & APPLICAT LAB,F-93430 VILLETANEUSE,FRANCE

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 03期

关键词：

D O I：

10.1063/1.531340

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relation between Fourier spectra and spectra obtained from wavelet analysis is established. Small scale asymptotic analysis shows that the wavelet spectrum is meaningful only when the analyzing wavelet has enough vanishing moments. These results are related to regularity theorems in Besov spaces. For the analysis of infinitely regular signals, a new wavelet, with an infinite number of cancellations is proposed. © 1995 American Institute of Physics.

引用

页码：1506 / 1519

页数：14

共 18 条

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