Time-frequency and time-scale analysis
Wavelets and applications

Article REF: TE5215 V1

Time-frequency and time-scale analysis
Wavelets and applications

Authors : Béatrice PESQUET-POPESCU, Jean-Christophe PESQUET

Publication date: August 10, 2001, Review date: November 1, 2015 | Lire en français

You do not have access to this resource.

Request your free trial access! Free trial

Already subscribed?Log in!

1. Time-frequency and time-scale analysis

1.1 Limitations of Fourier analysis

Consider a continuous-time signal s (t ) of finite energy: ${‖ s ‖}^{2} = \int_{- \infty}^{\infty} {| s (t) |}^{2} d t$

A traditional tool for analyzing this signal is its Fourier transform [38] , defined by : $S (f) =$

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Time-frequency and time-scale analysis

Previous
page Wavelets and applications

Article included in this offer

"Signal processing and its applications"

( 150 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

References

(1) - ABRAMOVICH (F.), SAPATINAS (T.), SILVERMAN (B.W.) - Wavelet thresholding via a bayesian approach. - J.R. Statist. Soc. B, 60, p. 725-749, 1998.
(2) - ABRY (P.) - Ondelettes et Turbulences. Multirésolutions, algorithmes de décompositions, invariance...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Outline
Full outline