Resumen de Publicaciones

Wavelet

web

1995

Tutorial on continuous wavelet analysis of experimental data

Jacques Lewalle

pagina web Syracuse University

Abstract :

Our purpose is to make the wavelet techniques approachable without unnecessary

mathematical sophistication. Therefore, graphics are more important than the formulae or

analytical results, shown in small print. Also, with the expectation that the user wants to

interrogate his or her data from the viewpoint of the underlying physics, only a few simple

wavelets with readily interpretable transforms are used: the first two Gaussians and the

Morlet wavelets. The examples range from cosines to modulated and intermittent data.

1996

The engineer's ultimate guide to wavelet analysis

Robi Polikar

Web

Abstract :

Un tutorial en el web sobre teoria de wavelet

1997

Wavelets and Filter Banks

Gilbert Strang and Truong Q. Nguyen

web

Abstract :

This new textbook by Gilbert Strang and Truong Nguyen offers a clear and

easy-to-understand introduction to two central ideas -- filter banks for discrete signals,

and wavelets. The connections are fully explained -- the wavelet is determined by a

choice of filter coefficients. All important wavelet properties (orthogonality or

biorthogonality, symmetry, accuracy of approximation, and smoothness) come from

specific properties of the filters. The text shows how to construct those filters and

wavelets.

The applications are very widespread -- and they continue to develop rapidly. The book

gives a direct approach to signal processing and image processing through filter banks that

iterate on the lowpass filter (this is the wavelet idea). Blocking and ringing artifacts are

analyzed, along with many MATLAB applications. Wavelets and Filter Banks is written

for the very broad audience that uses these ideas

1998