Gramian-preserving frequency transformation for linear discrete-time state-space systems

Shunsuke Koshita, Satoru Tanaka, Masahide Abe, Masayuki Kawamata

研究成果: Article査読

5 被引用数 (Scopus)

抄録

This paper proposes the Gramian-preserving frequency transformation for linear discrete-time state-space systems. In this frequency transformation, we replace each delay element of a discrete-time system with an allpass, system that has a balanced realization. This approach can generate transformed systems that have the same controllability/observability Gramians as those of the original system. From this result, we show that the Gramian-preserving frequency transformation gives us transformed systems with different magnitude characteristics, but with the same structural property with respect to the Gramians as that of the original system. This paper also presents a simple method for realization of the Gramian-preserving frequency transformation. This method makes use of the cascaded normalized lattice structure of allpass systems. Copyright

本文言語English
ページ(範囲)3014-3021
ページ数8
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E91-A
10
DOI
出版ステータスPublished - 2008 10

ASJC Scopus subject areas

  • 信号処理
  • コンピュータ グラフィックスおよびコンピュータ支援設計
  • 電子工学および電気工学
  • 応用数学

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