Abstract

The idea of multiresolution analysis (MRA) was proposed by Stephane Mallat and Yves Meyer in 1986, and this can be considered as a rebirth of wavelet theory. This is a new and remarkable idea which deals with a general formalism for construction of an orthogonal basis of wavelets. Indeed, MRA is central to all constructions of wavelet bases. Mallat’s brilliant work (Mallat 1989a,b,c) has been the major source of many new developments in wavelet analysis and its wide variety of applications.

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