Title :
Algebras and nonlinear multiresolution analysis that are consistent with the Strang and Fix conditions
Author_Institution :
Centre Autom. et Syst., Ecole Nat. Superieure des Mines de Paris, Valbonne, France
Abstract :
We investigate how the concept of multiresolution analysis can be adapted in order to handle nonlinear operators. Under reasonable assumptions this question has a unique answer, which we characterize and build explicitely here
Keywords :
algebra; mathematical operators; signal resolution; Strang and Fix conditions; algebras; nonlinear multiresolution analysis; nonlinear operators; Algebra; Fourier transforms; Frequency; Image processing; Multiresolution analysis; Polynomials; Signal analysis; Signal resolution; Wavelet analysis; Wavelet coefficients;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1996., Proceedings of the IEEE-SP International Symposium on
Conference_Location :
Paris
Print_ISBN :
0-7803-3512-0
DOI :
10.1109/TFSA.1996.550088
