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Design and Factorization of Two-Channel Perfect Reconstruction Filter Banks with Causal-Stable IIR Filters

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Abstract

In this paper, new design and factorization methods of two-channel perfect reconstruction (PR) filter banks (FBs) with casual-stable IIR filters are introduced. The polyphase components of the analysis filters are assumed to have an identical denominator in order to simplify the PR condition. A modified model reduction is employed to derive a nearly PR causal-stable IIR FB as the initial guess to obtain a PR IIR FB from a PR FIR FB. To obtain high quality PR FIR FBs for carrying out model reduction, cosine-rolloff FIR filters are used as the initial guess to a nonlinear optimization software for solving to the PR solution. A factorization based on the lifting scheme is proposed to convert the IIR FB so obtained to a structurally PR system. The arithmetic complexity of this FB, after factorization, can be reduced asymptotically by a factor of two. Multiplier-less IIR FB can be obtained by replacing the lifting coefficients with the canonical signal digitals (CSD) or sum of powers of two (SOPOT) coefficients.

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Acknowledgment

This paper is supported by National Natural Science Foundation of China (NSFC) (No. 61102118) and Natural Science Foundation of Anhui Province Higher Education Institutions (No. KJ2011Z002).

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Authors and Affiliations

  1. Department of Electronic and Information Engineering, Anhui University of Finance and Economics, Bengbu, China, 233041

    S. S. Yin

  2. Department of Electrical and Electronic Engineering, University of Hong Kong, Pokfulam Road, Hong Kong, Hong Kong

    S. C. Chan

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  1. S. S. Yin
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  2. S. C. Chan
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Correspondence to S. S. Yin.

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Yin, S.S., Chan, S.C. Design and Factorization of Two-Channel Perfect Reconstruction Filter Banks with Causal-Stable IIR Filters. J Sign Process Syst 68, 353–366 (2012). https://doi.org/10.1007/s11265-011-0624-8

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  • DOI: https://doi.org/10.1007/s11265-011-0624-8

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