New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases

J. S. Mao; S. C. Chan; Ka Leung Ho

doi:10.1117/1.1288183

1 October 2000 New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases

J. S. Mao, S. C. Chan, Ka Leung Ho

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Optical Engineering, Vol. 39, Issue 10, (October 2000). https://doi.org/10.1117/1.1288183

A new method for designing two-channel causal stable IIR PR filter banks and wavelet bases is proposed. It is based on the structure previously proposed by Phoong et al. (1995). Such a filter bank is parameterized by two functions ?(z) and ?(z), which can be chosen as an all-pass function to obtain IIR filterbanks with very high stopband attenuation. One of the problems with this choice is that a bump of about 4 dB always exists near the transition band of the analysis and synthesis filters. The stopband attenuation of the high-pass analysis filter is also 10 dB lower than that of the low-pass filter. By choosing ?(z) and ?(z) as an all-pass function and a type-II linear-phase finite impulse response (FIR) function, respectively, the bumping can be significantly suppressed. In addition, the stopband attenuation of the high-pass filter can be controlled easily. The design problem is formulated as a polynomial approximation problem and is solved efficiently by the Remez exchange algorithm. The extension of this method to the design of a class of IIR wavelet bases is also considered.

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J. S. Mao, S. C. Chan, and Ka Leung Ho "New method for designing two-channel causal stable IIR perfect reconstruction filter banks and wavelet bases," Optical Engineering 39(10), (1 October 2000). https://doi.org/10.1117/1.1288183

Published: 1 October 2000

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