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

Masayuki Kawamata; Tatsuo Higuchi

doi:10.1109/TASSP.1984.1164384

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 journal › Article › peer-review

27 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 − A^t A≽0, and thus the realizations are free of limit cycles.

Original language	English
Pages (from-to)	928-930
Number of pages	3
Journal	IEEE Transactions on Acoustics, Speech, and Signal Processing
Volume	32
Issue number	4
DOIs	https://doi.org/10.1109/TASSP.1984.1164384
Publication status	Published - 1984 Aug
Externally published	Yes

ASJC Scopus subject areas

Signal Processing

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10.1109/TASSP.1984.1164384

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

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.",

author = "Masayuki Kawamata and Tatsuo Higuchi",

year = "1984",

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doi = "10.1109/TASSP.1984.1164384",

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AU - Kawamata, Masayuki

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N2 - 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.

AB - 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.

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

Abstract

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