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Title:
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Generalized Digital Butterworth Filter Design |
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Author:
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Selesnick, Ivan W.; Burrus, C. Sidney
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Type:
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Journal Paper |
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Keywords:
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filter design |
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Citation:
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I. W. Selesnick and C. S. Burrus, "Generalized Digital Butterworth Filter Design," IEEE Transactions on Signal Processing, 1995. |
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Abstract:
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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. |
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Date Published:
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1995-01-15 |
