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

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトル2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013
DOI
出版ステータスPublished - 2013 12 1
イベント2013 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference, APSIPA 2013 - Kaohsiung, Taiwan, Province of China
継続期間: 2013 10 292013 11 1

出版物シリーズ

名前2013 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
国/地域Taiwan, Province of China
CityKaohsiung
Period13/10/2913/11/1

ASJC Scopus subject areas

  • 情報システム
  • 信号処理

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