On the Absence of Limit Cycles in a Class of State-Space Digital Filters Which Contains Minimum Noise Realizations

Masayuki Kawamata, Tatsuo Higuchi

研究成果: Article査読

26 被引用数 (Scopus)

抄録

This paper presents a theorem for the absence of limit cycles in a class of state-space digital filters. Such a class contains minimum noise realizations of any order as a special case, that is, it is proved that the transition matrix A of minimum noise realizations of any order satisfies I − At A≽0, and thus the realizations are free of limit cycles.

本文言語English
ページ(範囲)928-930
ページ数3
ジャーナルIEEE Transactions on Acoustics, Speech, and Signal Processing
32
4
DOI
出版ステータスPublished - 1984 8

ASJC Scopus subject areas

  • Signal Processing

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