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On limit cycles inn-order direct-form digital filters

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Abstract

The relationship between the elements in the vector of any limit cycle due to rounding in ann-order direct-form digital filter is established. Some bounds on the elements in such vectors are also determined. Sufficient conditions for the accessibility of period-r limit cycles due to rounding inn-order digital filters are presented.

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Authors and Affiliations

  1. Electrical Engineering Department, The Citadel, 29409, Charleston, South Carolina, USA

    Tamal Bose

  2. Department of Electrical Engineering, Southern Illinois University, 62901-6603, Carbondale, Illinois, USA

    David P. Brown

Authors
  1. Tamal Bose
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  2. David P. Brown
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Bose, T., Brown, D.P. On limit cycles inn-order direct-form digital filters. Circuits Systems and Signal Process 10, 153–161 (1991). https://doi.org/10.1007/BF01183768

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  • DOI: https://doi.org/10.1007/BF01183768

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