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    Allpass VFD Filter Design

    155593_155593.pdf (656.7Kb)
    Access Status
    Open access
    Authors
    Dam, Hai Huyen
    Teo, Kok Lay
    Date
    2010
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Dam, Hai Huyen and Teo, Kok Lay. 2010. Allpass VFD Filter Design. IEEE Transactions on Signal Processing. 58 (8): pp. 4432-4436.
    Source Title
    IEEE Transactions on Signal Processing
    DOI
    10.1109/TSP.2010.2048316
    ISSN
    1053-587X
    School
    Department of Mathematics and Statistics
    Remarks

    Copyright © 2010 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/20.500.11937/7469
    Collection
    • Curtin Research Publications
    Abstract

    This correspondence proposes a general design for allpass variable fractional delay (VFD) digital filters with minimum weighted integral squared error subject to constraints on maximum error deviation from the desired response. The resulting optimization problem is nonlinear and nonconvex with a nonlinear continuous inequality constraint. Stability of the designed filters are discussed. An effective procedure is proposed for solving the optimization problem. Firstly, a constraint transcription method and a smoothing technique are employed to transform the continuous inequality constraint into one equality constraint. Then, by using the concept of a penalty function, the transformed constraint is incorporated into the cost function to form a new cost function. The nonlinear optimization problem subject to continuous inequality constraints is then approximated by a sequence of unconstraint optimization problems. Finally, a global optimization method using a filled function is employed to solve the unconstraint optimization problem. Design example shows that a trade-off can be achieved between the integral squared error and the maximum error deviation for the design of allpass VFD filters.

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