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 Japanese) | (See Japanese page) |
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. |
Keyword(in Japanese) | (See Japanese page) |
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 |
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Conference Date | 2007/9/21(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Smart Info-Media Systems (SIS) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
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 |