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    Optimal design of all-pass variable fractional-delay digital filters

    119235_Optimal%20design.pdf (730.3Kb)
    Access Status
    Open access
    Authors
    Lee, Wei
    Caccetta, Louis
    Rehbock, Volker
    Date
    2008
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Lee, Wei and Caccetta, Louis and Rehbock, Volker. 2008. Optimal design of all-pass variable fractional-delay digital filters. IEEE Transactions on Circuits and Systems I: Regular Papers. 55 (5): pp. 1248-1256.
    Source Title
    IEEE Transactions on Circuits and Systems I: Regular Papers
    DOI
    10.1109/TCSI.2008.916686
    ISSN
    15498328
    Faculty
    Department of Mathematics and Statistics
    School of Science
    Faculty of Science and Engineering
    Remarks

    Copyright © 2008 IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

    URI
    http://hdl.handle.net/20.500.11937/18188
    Collection
    • Curtin Research Publications
    Abstract

    This paper presents a computational method for the optimal design of all-pass variable fractional-delay (VFD) filters aiming to minimize the squared error of the fractional group delay subject to a low level of squared error in the phase response. The constrained optimization problem thus formulated is converted to an unconstrained least-squares (LS) optimization problem which is highly nonlinear. However, it can be approximated by a linear LS optimization problem which in turn simply requires the solution of a linear system. The proposed method can efficiently minimize the total error energy of the fractional group delay while maintaining constraints on the level of the error energy of the phase response. To make the error distribution as flat as possible, a weighted LS (WLS) design method is also developed. An error weighting function is obtained according to the solution of the previous constrained LS design. The maximum peak error is then further reduced by an iterative updating of the error weighting function. Numerical examples are included in order to compare the performance of the filters designed using the proposed methods with those designed by several existing methods.

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