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WAVELETS AND TIME‐DEPENDENT SPECTRAL ANALYSIS

 

作者: M. B. Priestley,  

 

期刊: Journal of Time Series Analysis  （WILEY Available online 1996）
卷期: Volume 17, issue 1  

页码: 85-103

 

ISSN:0143-9782

 

年代: 1996

 

DOI:10.1111/j.1467-9892.1996.tb00266.x

 

出版商: Blackwell Publishing Ltd

 

关键词: !Wavelets;wavelet transforms;discrete wavelet transforms;multiresolution analysis;Fourier transforms;windowed Fourier transforms;spectral analysis;uncertainty principle;evolutionary spectra;complex demodulation

 

数据来源: WILEY

 

摘要:

Abstract.One of the key features of wavelet analysis is its potential use for effecting time‐frequency decompositions of non‐stationary signals. The relationship between wavelet analysis and time‐dependent spectral analysis has so far rested mainly on heuristic reasoning:in this paper we examine the relationship in a more precise mathematical form. A crucial feature of this analysis is the need to define carefully the notion of “frequency” when applied to non‐station

 

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