Title :
Independence/decorrelation measures with applications to optimized orthonormal representations
Author :
Moreau, Eric ; Pesquet, Jean-Christophe
Author_Institution :
MS-GESSY, La Valette du Var, France
Abstract :
Extended forms of contrast functions are introduced to provide statistical measures of independence for orthogonal mixtures. We also define semicontrasts based on second-order statistics which, in some cases, may be sufficient to separate the mixed sources. The corresponding criteria are then used to obtain an optimized representation of a stochastic process in an orthonormal basis of wavelet packets or local cosines
Keywords :
correlation methods; optimisation; signal representation; statistical analysis; wavelet transforms; contrast functions; independence/decorrelation measures; local cosines; mixed sources separation; optimized orthonormal representations; orthogonal mixtures; orthonormal basis; second-order statistics; semicontrasts; signal processing; statistical measures; stochastic process; wavelet packets; Decorrelation; Linear systems; Random variables; Reactive power; Source separation; Statistics; Stochastic processes; Vectors; Wavelet packets;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on
Conference_Location :
Munich
Print_ISBN :
0-8186-7919-0
DOI :
10.1109/ICASSP.1997.604600
