Title :
Parametrization of compactly supported orthonormal wavelets
Author :
Zou, Hehong ; Tewfik, Ahmed H.
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
fDate :
3/1/1993 12:00:00 AM
Abstract :
The parametrization of two-channel reconstruction quadrature mirror filter banks is extended to obtain a single characterization of discrete orthonormal wavelets. In particular, it is shown that discrete orthonormal wavelets of support less than 2N-1, where N is an even integer, are parametrized by N-1 real parameters, each taking values in (0, 2π). A parametrization of discrete orthonormal wavelets with a number of vanishing moments greater than one is also given
Keywords :
digital filters; wavelet transforms; discrete orthonormal wavelets; parameters; quadrature mirror filter banks; two channel reconstruction filter; vanishing moments; Adaptive arrays; Adaptive signal processing; Antennas and propagation; Array signal processing; Discrete wavelet transforms; Erbium; Filter bank; Mirrors; Robustness; Speech processing;
Journal_Title :
Signal Processing, IEEE Transactions on
