A Comparative Study of Finite Word Length Coefficient Optimization of FIR Digital Filters

Gurvinder S. Baicher, Meinwen Taylor, Hefin Rowlands

    Research output: Chapter in Book/Report/Conference proceedingOther chapter contributionpeer-review


    The accuracy of a real-time digital filter frequency response is affected by the finite word length (FWL) constraint of coefficients used in its implementation. In this paper, we consider the FWL problem in regard to the finite impulse response (FIR) digital filters. Some theoretical issues and statistical error bound conditions of the maximum deviation between the exact and the approximate magnitude responses are also considered. We use real-valued genetic algorithms (GA) as an optimisation tool and derive results for the maximum error bounds and error deviation due to FWL effects for a number of design examples. Finally, a comparison is drawn between the simply rounded, the GA optimised, integer programming and the simple hill climber methods.
    Original languageEnglish
    Title of host publicationAdvances in Natural Computation
    Subtitle of host publicationFirst International Conference, ICNC 2005, Changsha, China, August 27-29, 2005, Proceedings, Part III
    EditorsLipo Wang, Ke Chen, Yew Soon Ong
    Place of PublicationBerlin
    ISBN (Electronic)978-3-540-31863-7
    ISBN (Print)978-3-540-28320-1
    Publication statusPublished - 2005
    EventFirst International Conference on Natural Computation - Changsha, China
    Duration: 27 Aug 200529 Aug 2005

    Publication series

    NameLecture Notes in Computer Science
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349


    ConferenceFirst International Conference on Natural Computation
    Abbreviated titleICNC 2015


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