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

Masayuki Kawamata, Tatsuo Higuchi

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)928-930
Number of pages3
JournalIEEE Transactions on Acoustics, Speech, and Signal Processing
Volume32
Issue number4
DOIs
Publication statusPublished - 1984 Aug

ASJC Scopus subject areas

  • Signal Processing

Fingerprint Dive into the research topics of 'On the Absence of Limit Cycles in a Class of State-Space Digital Filters Which Contains Minimum Noise Realizations'. Together they form a unique fingerprint.

  • Cite this