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Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters | IEEE Journals & Magazine | IEEE Xplore

Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters


Abstract:

A new method of designing linear-phase FIR filters is proposed by minimizing a quadratic measure of the error in the passband and stopband. The method is based on the com...Show More

Abstract:

A new method of designing linear-phase FIR filters is proposed by minimizing a quadratic measure of the error in the passband and stopband. The method is based on the computation of an eigenvector of an appropriate real, symmetric, and positive-definite matrix. The proposed design procedure is general enough to incorporate both time- and frequency-domain constraints. For example, Nyquist filters can be easily designed using this approach. The design time for the new method is comparable to that of Remez exchange techniques. The passband and stopband errors in the frequency domain can be made equiripple by an iterative process, which involves feeding back the approximation error at each iteration. Several numerical design examples and comparisons to existing methods are presented, which demonstrate the usefulness of the present approach.
Published in: IEEE Transactions on Circuits and Systems ( Volume: 34, Issue: 1, January 1987)
Page(s): 11 - 23
Date of Publication: 31 January 1987

ISSN Information:


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