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Generalized Digital Butterworth Filter Design

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Title: Generalized Digital Butterworth Filter Design
Author: Selesnick, Ivan W.; Burrus, C. Sidney
Type: Journal Paper
Keywords: filter design
Citation: I. W. Selesnick and C. S. Burrus, "Generalized Digital Butterworth Filter Design," IEEE Transactions on Signal Processing, 1995.
Abstract: This paper presents a formula-based method for the design of IIR filters having more zeros than (nontrivial) poles. The filters are designed so that their square magnitude frequency responses are maximally-flat at m = 0 and at m = pi and are thereby generalizations of classical digital Butterworth filters. A main result of the paper is that, for a specified half-magnitude frequency and a specified number of zeros, there is only one valid way in which to split the zeros between z = -1 and the passband. Moreover, for a specified number of zeros and a specified half-magnitude frequency, the method directly determines the appropriate way to split the zeros between z = -1 and the passband. IIR filters having more zeros than poles are of interest, because often, to obtain a good trade-off between performance and the expense of implementation, just a few poles are best.
Date Published: 1995-01-15

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  • ECE Publications [1043 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.