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An Efficient Method for Designing of Modulated Filter Banks with Causal-Stable IIR Filters

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Abstract

This paper proposes an efficient method for the design of a class of causal-stable infinite impulse response (IIR) cosine modulated filter banks (CMFBs) and a class of IIR modified discrete Fourier transform filter banks (MDFT FBs) with a very low system delay. Instead of designing the frequency magnitude responses of the IIR prototype filters, the power spectrums of the desired filters are designed so as to reformulate the design problems as a quasi-convex optimization problem which can be solved by CVX software. When the solutions are found, the IIR prototype filters can be obtained by a spectral factorization technique. By using a bisection search, IIR FBs obtained are nearly perfect reconstruction (NPR) and which can be used as effective initial guess to some constrained nonlinear optimizer for further optimization to design perfect reconstruction (PR) IIR FBs with a very low system delay.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61102118,61072123).

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Authors and Affiliations

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

    S. S. Yin

  2. School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Y. Zhou

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

    S. C. Chan

Authors
  1. S. S. Yin
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  2. Y. Zhou
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  3. S. C. Chan
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Correspondence to S. S. Yin.

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Yin, S.S., Zhou, Y. & Chan, S.C. An Efficient Method for Designing of Modulated Filter Banks with Causal-Stable IIR Filters. J Sign Process Syst 78, 187–197 (2015). https://doi.org/10.1007/s11265-013-0814-7

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  • DOI: https://doi.org/10.1007/s11265-013-0814-7

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