Vaidyanathan, P. P. and Nguyen, Truong Q. (1987) Eigenfilters: A new approach to least-squares FIR filter design and applications including Nyquist filters. IEEE Transactions on Circuits and Systems, 34 (1). pp. 11-23. ISSN 0098-4094 http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs87f
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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.
|Additional Information:||© Copyright 1987 IEEE. Reprinted with permission. Manuscript received December 6, 1985; revised May 22, 1986. This work was supported in part by the National Science Foundation under Grant ECS 84-04245, and in part by Caltech’s programs in Advanced Technology grant, sponsored by Aerojet General, General Motors, GTE, and TRW. The authors are grateful to the reviewers for useful comments and suggestions. Also, valuable discussions with Quan Phuong Hoang, graduate student at Caltech, on computational aspects are gratefully acknowledged.|
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