Title :
Design and parameterization of M-band orthonormal wavelets
Author :
Zou, Hehong ; Tewfik, Ahmed H.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
The authors generalize the parameterization of 2-band (or dyadic) wavelet to the M-band case. A complete characterization of M-band wavelets is given, including a recipe for constructing such wavelets. It is shown that M-band wavelets can be constructed from a perfect reconstruction filter bank with added regularity conditions. The regularity conditions are important both for the numerical stability of the resulting approximation procedures and for increased compactness of the signal representations with such wavelets
Keywords :
filtering and prediction theory; matrix algebra; signal processing; wavelet transforms; M-band; approximation procedures; numerical stability; orthonormal wavelets; perfect reconstruction filter bank; regularity conditions; Bandwidth; Energy resolution; Equations; Filter bank; Fourier transforms; Hafnium; Signal resolution; Wavelet coefficients; Wavelet transforms;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230055
