Presentation 2007-09-28
Gramian-Preserving Frequency Transformation Using Normalized Lattice Structure for Linear Discrete-Time Systems
Shunsuke KOSHITA, Satoru TANAKA, Masahide ABE, Masayuki KAWAMATA,
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Abstract(in English) This paper proposes a new method of the Gramian-preserving frequency transformation for linear discrete-time systems. In the proposed method, we realize frequency transformation by replacing each delay element of a discrete-time system with an allpass function that has the normalized lattice structure. The Gramian-preserving frequency transformation based on this approach yields the transformed systems in closed form in terms of realizations of a prototype system and an allpass function of the normalized lattice structure. From this fact, it is shown that the proposed method can realize the Gramian-preserving frequency transformation without using the complicated algebraic computations that are required in the conventional method.
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Keyword(in English) controllability Gramian / observability Gramian / frequency transformation / allpass function / normalized lattice structure
Paper # SIP2007-105,SIS2007-41,SP2007-67
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Committee SIS
Conference Date 2007/9/21(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Gramian-Preserving Frequency Transformation Using Normalized Lattice Structure for Linear Discrete-Time Systems
Sub Title (in English)
Keyword(1) controllability Gramian
Keyword(2) observability Gramian
Keyword(3) frequency transformation
Keyword(4) allpass function
Keyword(5) normalized lattice structure
1st Author's Name Shunsuke KOSHITA
1st Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University()
2nd Author's Name Satoru TANAKA
2nd Author's Affiliation Department of Electronic Engineering, School of Engineering, Tohoku University
3rd Author's Name Masahide ABE
3rd Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
4th Author's Name Masayuki KAWAMATA
4th Author's Affiliation Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
Date 2007-09-28
Paper # SIP2007-105,SIS2007-41,SP2007-67
Volume (vol) vol.107
Number (no) 237
Page pp.pp.-
#Pages 6
Date of Issue