Design of two-channel causal-stable IIR  filter banks by spectral factorization

doi:10.3969/j.issn.0253-2778.2015.01.005

Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (1): 27-33.DOI: 10.3969/j.issn.0253-2778.2015.01.005

• Original Paper • Previous Articles

Design of two-channel causal-stable IIR filter banks by spectral factorization

YIN Shishu, GAO ling, YU Shuaizhen

Dept. of Electronic and Information Engineering, Anhui university of Finance & Economic, Bengbu, 233041, China

Received:2013-12-17 Revised:2014-10-09 Accepted:2014-10-09 Online:2014-10-09 Published:2014-10-09
Contact: YIN Shishu
About author:YIN Shishu (corresponding author), female, born in 1973, PhD. Research field: multirate signal processing, filter banks, wavelets, image signal processing. E-mail: ssyin@eee.hku.hk
Supported by:
Supported by the National Natural Science Foundation of China (61102118).

Abstract

Abstract: A new method was proposed for designing two-channel filter banks (FBs) with causal-stable IIR filters. By using IIR filters with a cosine-rolloff transition band, the flatness condition required for two-channel NPR FB was automatically satisfied. Instead of designing the frequency magnitude responses of the analysis filters, the power spectra of the desired filters were designed by solving a quasi-convex problem. When the solution was found, the analysis filters desired can be obtained by spectral factorization. The polyphase components of the analysis filters were assumed to have an identical denominator to simplify the PR condition. Two-channel NPR IIR FB so obtained has a reasonably low reconstruction error and can be employed as the initial guess to constrained nonlinear optimization software for designing the PR IIR FB.

Key words: causal stable IIR filters, cosine-rolloff transition band, filter banks, perfect and nearly perfect reconstruction, spectral factorization

CLC Number:

TN713

YIN Shishu, GAO ling, YU Shuaizhen. Design of two-channel causal-stable IIR filter banks by spectral factorization[J]. Journal of University of Science and Technology of China, 2015, 45(1): 27-33.

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Design of two-channel causal-stable IIR filter banks by spectral factorization

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