Title :
An adaptive approach to wavelet filters design
Author :
Neretti, Nicola ; Intrator, Nathan
Author_Institution :
Inst. for Brain & Neural Syst., Brown Univ., Providence, RI, USA
Abstract :
We present a general framework for the design of a mother wavelet best adapted to a specific signal or to a class of signals. The filter´s coefficients are obtained via optimization of a smooth objective function. We develop an unconstrained gradient-based optimization algorithm for a discrete wavelet transform. The algorithm is extended to the joint optimization of the mother wavelet and of the wavelet packets basis.
Keywords :
adaptive filters; discrete wavelet transforms; gradient methods; network synthesis; optimisation; time-domain synthesis; adaptive wavelet filters design; discrete wavelet transform; filter coefficients; joint optimization; mother wavelet design; smooth objective function optimization; time-domain method; unconstrained gradient-based optimization algorithm; wavelet packets basis; Adaptive filters; Constraint optimization; Discrete transforms; Discrete wavelet transforms; Filter bank; Lattices; Signal design; Signal processing; Statistics; Wavelet packets;
Conference_Titel :
Neural Networks for Signal Processing, 2002. Proceedings of the 2002 12th IEEE Workshop on
Print_ISBN :
0-7803-7616-1
DOI :
10.1109/NNSP.2002.1030043
