Title :
On optimal prefiltering for wavelet coefficient computation
Author :
Xia, Xiang-Gen ; Kuo, C. C Jay ; Zhang, Zhen
Author_Institution :
Dept. of Electr. Eng.-Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
The authors use an algorithm proposed by M.J. Shensa (1992) for computing the coefficients of the wavelet series transform (WST) or continuous wavelet transform (CWT) to filter a sampled discrete-time signal and then apply S. Mallat´s (1989) discrete wavelet transform (DWT) algorithm to the filtered sequence. The prefiltering is used to reduce the approximation error between the computed and desired coefficients. The design of optimal causal and noncausal FIR prefilters which reduce the approximation error as much as possible is considered. Numerical experiments are provided to demonstrate the performance of these optimal prefilters
Keywords :
filtering and prediction theory; signal processing; wavelet transforms; FIR prefilters; approximation error; causal prefilters; continuous wavelet transform; discrete wavelet transform; noncausal prefilters; numerical results; optimal prefiltering; sampled discrete-time signal; wavelet coefficient computation; wavelet series transform; Approximation algorithms; Continuous wavelet transforms; Discrete wavelet transforms; Filtering algorithms; Finite impulse response filter; Sampling methods; Signal processing; Wavelet analysis; Wavelet coefficients; Wavelet transforms;
Conference_Titel :
Signals, Systems and Computers, 1992. 1992 Conference Record of The Twenty-Sixth Asilomar Conference on
Conference_Location :
Pacific Grove, CA
Print_ISBN :
0-8186-3160-0
DOI :
10.1109/ACSSC.1992.269274
