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The wavelet transform, time-frequency localization and signal analysis

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I. DaubechiesAuthors Info & Claims

IEEE Transactions on Information Theory, Volume 36, Issue 5

Pages 961 - 1005

https://doi.org/10.1109/18.57199

Published: 01 September 2006 Publication History

Abstract

Two different procedures for effecting a frequency analysis of a time-dependent signal locally in time are studied. The first procedure is the short-time or windowed Fourier transform; the second is the wavelet transform, in which high-frequency components are studied with sharper time resolution than low-frequency components. The similarities and the differences between these two methods are discussed. For both schemes a detailed study is made of the reconstruction method and its stability as a function of the chosen time-frequency density. Finally, the notion of time-frequency localization is made precise, within this framework, by two localization theorems

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IEEE Transactions on Information Theory Volume 36, Issue 5

September 1990

238 pages

ISSN:0018-9448

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IEEE Press

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Published: 01 September 2006

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An Efficient DCT-II Based Harmonic Wavelet Transform for Time-Frequency Analysis

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