## Wavelet transform, time-frequency localization and signal analysis

Publication
, Journal Article

Daubechies, I

December 1, 1988

Summary form only given, as follows. Two different procedures are studied by which a frequency analysis of a time-dependent signal can be effected, locally in time. 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.

### Duke Scholars

## Publication Date

December 1, 1988

## Volume

25 n 13

## Start / End Page

42

### Citation

APA

Chicago

ICMJE

MLA

NLM

Daubechies, I. (1988). Wavelet transform, time-frequency localization and signal analysis,

*25*n*13*, 42.Daubechies, I. “Wavelet transform, time-frequency localization and signal analysis” 25 n 13 (December 1, 1988): 42.

Daubechies I. Wavelet transform, time-frequency localization and signal analysis. 1988 Dec 1;25 n 13:42.

Daubechies, I.

*Wavelet transform, time-frequency localization and signal analysis*. Vol. 25 n 13, Dec. 1988, p. 42.Daubechies I. Wavelet transform, time-frequency localization and signal analysis. 1988 Dec 1;25 n 13:42.

## Publication Date

December 1, 1988

## Volume

25 n 13

## Start / End Page

42