On the limit cycles in the minimum L2-sensitivity realizations subject to L2-scaling constraints of second-order digital filters

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

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

1 Citation (Scopus)

Abstract

This paper gives conjecture on the absence of limit cycles of the minimum L2-sensitivity realizations subject to L2-scaling constraints for second-order digital filters. We design second-order digital filters with various pole-zero configurations, synthesize the minimum L 2-sensitivity realizations subject to L2-scaling constraints, and examine if their coefficient matrices satisfy a sufficient condition for the absence of limit cycles. As a result, in the range of practical pole radii, it is shown that 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. Furthermore, we demonstrate the absence of limit cycles of the minimum L 2-sensitivity realizations of a second-order digital filter by observing its zero-input response.

Original languageEnglish
Title of host publication2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013
DOIs
Publication statusPublished - 2013 Dec 1
Event2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013 - Kaohsiung, Taiwan, Province of China
Duration: 2013 Oct 292013 Nov 1

Publication series

Name2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013

Other

Other2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013
CountryTaiwan, Province of China
CityKaohsiung
Period13/10/2913/11/1

ASJC Scopus subject areas

  • Information Systems
  • Signal Processing

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