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Magnitude Squared Design of Recursive Filters with the Chebyshev Norm Using a Constrained Rational Remez Algorithm

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Title: Magnitude Squared Design of Recursive Filters with the Chebyshev Norm Using a Constrained Rational Remez Algorithm
Author: Selesnick, Ivan W.; Lang, Markus; Burrus, C. Sidney
Type: Journal article
Keywords: filter design
Citation: I. W. Selesnick, M. Lang and C. S. Burrus, "Magnitude Squared Design of Recursive Filters with the Chebyshev Norm Using a Constrained Rational Remez Algorithm," IEEE Transactions on Signal Processing, 1994.
Abstract: We describe a Remez type exchange algorithm for the design of stable recursive filters for which the Chebyschev norm of H(w) - F(w) is minimized, where H(w) and F(w) are the realized and desired magnitude squared frequency responses. The number of poles and zeros can be chosen arbitrarily and the zeros do not have to lie on the unit circle. The algorithm allows us to design filters with non-conventional frequency responses with arbitrary weighting functions. It also gives optimal minimum phase FIR filters and Elliptic recursive filters as special cases. We discuss three main difficulties in the use of the Remez algorithm for recursive filter design and give ways to overcome them.
Date Published: 1994-05-01

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  • ECE Publications [1048 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.