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    Optimal Design of IIR Filters via the Partial Fraction Decomposition Method

    Access Status
    Fulltext not available
    Authors
    Qi, H.
    Feng, Z.
    Yiu, K.
    Nordholm, Sven
    Date
    2018
    Type
    Journal Article
    
    Metadata
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    Citation
    Qi, H. and Feng, Z. and Yiu, K. and Nordholm, S. 2018. Optimal Design of IIR Filters via the Partial Fraction Decomposition Method. IEEE Transactions on Circuits and Systems II: Express Briefs. 66 (8): pp. 146 -1465.
    Source Title
    IEEE Transactions on Circuits and Systems II: Express Briefs
    DOI
    10.1109/TCSII.2018.2879914
    ISSN
    1549-7747
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/71137
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we consider the minimax design of infinite impulse response(IIR) filter. First, we apply the partial fraction method to decompose the transfer function into a sum of low order fractions, as a result the minimax IIR filter design problem can be formulated with the stability condition as constraints. Second, among different possible decompositions of the transfer function, we prove that the second order decomposition can always achieve good approximation to the optimal solution. Based on the second order decomposition formulation, several numerical experiments have been conducted, and better IIR filters can be designed using the proposed method compared with existing methods in the literature.

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