Generalized digital Butterworth filter design

@article{Selesnick1996GeneralizedDB,
  title={Generalized digital Butterworth filter design},
  author={Ivan W. Selesnick and C. Sidney Burrus},
  journal={1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings},
  year={1996},
  volume={3},
  pages={1367-1370 vol. 3}
}
  • I. SelesnickC. Burrus
  • Published 7 May 1996
  • Engineering
  • 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings
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 /spl omega/=0 and at /spl omega/=/spl 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… 
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