Title :
A method of designing optimal wavelet filter banks
Author :
Zhiwei, Peng ; Bo, Wang ; Guisheng, Liao
Author_Institution :
Nat. Key Lab. for Radar Signal Process., Xidian Univ., Xi´´an, China
Abstract :
Compactly supported orthogonal wavelets are obtained from two-band paraunitary FIR filter bank solutions, with the additional “flatness” constraint that the low-pass filter should have K zeros at half of the sampling frequency. This constraint is set to obtain a “regular” wavelet, but it is somewhat in contradiction with the requirement of excellent frequency selectivity. Maximally flat filters yielding Daubechies wavelets have the worst frequency selectivity. According to those drawbacks, two design methods based on simple linear optimizations are proposed to generate wavelet filter banks with excellent frequency selectivity by maximizing the energy content in the filter passband. Finally, designed examples are given
Keywords :
FIR filters; low-pass filters; optimisation; poles and zeros; signal sampling; wavelet transforms; Daubechies wavelets; compactly supported orthogonal wavelets; energy content maximization; filter passband; flatness constraint; frequency selectivity; linear optimizations; low-pass filter; maximally flat filters; optimal wavelet filter banks; regular wavelet; sampling frequency; two-band paraunitary FIR filter bank; zeros; Band pass filters; Channel bank filters; Design methodology; Discrete wavelet transforms; Filter bank; Finite impulse response filter; Frequency; Low pass filters; Matrix decomposition; Passband;
Conference_Titel :
Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4325-5
DOI :
10.1109/ICOSP.1998.770200
