Title :
Design of biorthogonal MRA generating wavelets matched to specified signal
Author :
Raghuveer, Mysore R. ; Chapa, Maj Joseph O
Author_Institution :
Dept. of Electr. Eng., Rochester Inst. of Technol., NY, USA
Abstract :
The problem of fitting a mother wavelet to a signal such that this wavelet along with a dual generate a biorthogonal wavelet decomposition is addressed. It is shown that when the problem is addressed in the frequency domain with bandlimited scaling functions and wavelets, a simple formulation is possible. Further, a closed form sub-optimal solution is possible when the problem is broken down into a series of optimization problems. In the process of the problem formulation, a generalization of the Meyer class of wavelets to the biorthogonal case is obtained
Keywords :
frequency-domain analysis; optimisation; signal processing; wavelet transforms; Meyer wavelets class; bandlimited scaling functions; bandlimited scaling wavelets; biorthogonal MRA generating wavelets; biorthogonal wavelet decomposition; closed form suboptimal solution; frequency domain; mother wavelet; optimization problems; signal analysis; Casting; Digital filters; Fourier transforms; Frequency domain analysis; Frequency response; Multiresolution analysis; Signal design; Signal generators; Surveillance; Wavelet domain;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1996. ICASSP-96. Conference Proceedings., 1996 IEEE International Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3192-3
DOI :
10.1109/ICASSP.1996.547994