Conjecture on the absence of limit cycles in second-order digital filters with minimum L2-sensitivity subject to L2-scaling constraints

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper gives conjecture on the absence of limit cycles of second-order digital filters with minimum L2-sensitivity subject to L2-scaling constraints. We evaluate a sufficient condition for the absence of limit cycles of second-order digital filters with minimum L2-sensitivity subject to L2-scaling constraints from their filter coefficient matrices. We next design second-order digital filters for various pole-zero configurations, synthesize the minimum L2-sensitivity realizations, and confirm if their coefficient matrices satisfy the sufficient condition for the absence of limit cycles. Experimental results show the minimum L2-sensitivity realizations subject to L2-scaling constraints of second-order digital filters satisfy a sufficient condition for the absence of limit cycles in the range of practical pole radii.

Original languageEnglish
Title of host publicationProceedings of 2014 4th IEEE International Conference on Network Infrastructure and Digital Content, IEEE IC-NIDC 2014
EditorsJun Guo, Jie Yang, Weining Wang, Lin Zhang, Xin Zhang
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages379-384
Number of pages6
ISBN (Electronic)9781479947362
DOIs
Publication statusPublished - 2014 Dec 30
Event2014 4th IEEE International Conference on Network Infrastructure and Digital Content, IEEE IC-NIDC 2014 - Beijing, China
Duration: 2014 Sep 192014 Sep 21

Publication series

NameProceedings of 2014 4th IEEE International Conference on Network Infrastructure and Digital Content, IEEE IC-NIDC 2014

Other

Other2014 4th IEEE International Conference on Network Infrastructure and Digital Content, IEEE IC-NIDC 2014
CountryChina
CityBeijing
Period14/9/1914/9/21

Keywords

  • Digital filters
  • L-scaling constraints
  • Limit cycles
  • Minimum L-sensitivity realizations

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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    Yamaki, S., Abe, M., & Kawamata, M. (2014). Conjecture on the absence of limit cycles in second-order digital filters with minimum L2-sensitivity subject to L2-scaling constraints. In J. Guo, J. Yang, W. Wang, L. Zhang, & X. Zhang (Eds.), Proceedings of 2014 4th IEEE International Conference on Network Infrastructure and Digital Content, IEEE IC-NIDC 2014 (pp. 379-384). [7000329] (Proceedings of 2014 4th IEEE International Conference on Network Infrastructure and Digital Content, IEEE IC-NIDC 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICNIDC.2014.7000329