A WISE method for designing IIR filters

Tarczynski, Andrzej, Cain, Gerald D., Hermanowicz, Ewa and Rojewski, Miroslaw (2001) A WISE method for designing IIR filters. IEEE Transactions on Signal Processing, 49 (7). pp. 1421-1432. ISSN 1053-587X


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Official URL: http://dx.doi.org/10.1109/78.928695


The problem of designing optimal digital IIR filters with frequency responses approximating arbitrarily chosen complex functions is considered. The real-valued coefficients of the filter's transfer function are obtained by numerical minimization of carefully formulated cost, which is referred here to as the weighted integral of the squared error (WISE) criterion. The WISE criterion linearly combines the WLS criterion that is used in the weighted least squares approach toward filter design and some time-domain components. The WLS part of WISE enforces quality of the frequency response of the designed filter, while the time-domain part of the WISE criterion restricts the positions of the filter's poles to the interior of an origin-centred circle with arbitrary radius. This allows one not only to achieve stability of the filter but also to maintain some safety margins. A great advantage of the proposed approach is that it does not impose any constraints on the optimization problem and the optimal filter can be sought using off-the-shelf optimization procedures. The power of the proposed approach is illustrated with filter design examples that compare favorably with results published in research literature.

Item Type: Article
Uncontrolled Keywords: Discrete time filters, IIR digital filters, least squares methods, optimization methods
Subjects: University of Westminster > Science and Technology > Electronics and Computer Science, School of (No longer in use)
Depositing User: Users 4 not found.
Date Deposited: 02 Dec 2005
Last Modified: 11 Aug 2010 14:30
URI: http://westminsterresearch.wmin.ac.uk/id/eprint/1071

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