| Presentation | 2005-06-27 The Property of the Second-Order Modes of Linear Discrete-Time Systems under Variable Transformation of Bounded-Real Function Shunsuke KOSHITA, Masahide ABE, Masayuki KAWAMATA, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper discusses the property of the second-order modes of discrete-time systems under variable transformation. Mullis and Roberts discovered that the second-order modes of discrete-time systems are invariant under variable transformation of any lossless bounded-real function, i.e. allpass function. This paper extends their theory to the case of the variable transformation of lossy function and reveals a novel property of the second-order modes under such variable transformation: it is proved that the values of the second-order modes are decreased under variable transformation of any lossy bounded-real function. The proof of this property is achieved with the help of the state-space representation of transformed discrete-time systems and the discrete-time bounded-real lemma. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | state-space representation / Gramian / second-order mode / variable transformation / bounded-real lemma |
| Paper # | CAS2005-8,VLD2005-19,SIP2005-32 |
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| Conference Information | |
| Committee | VLD |
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| Conference Date | 2005/6/20(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | VLSI Design Technologies (VLD) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The Property of the Second-Order Modes of Linear Discrete-Time Systems under Variable Transformation of Bounded-Real Function |
| Sub Title (in English) | |
| Keyword(1) | state-space representation |
| Keyword(2) | Gramian |
| Keyword(3) | second-order mode |
| Keyword(4) | variable transformation |
| Keyword(5) | bounded-real lemma |
| 1st Author's Name | Shunsuke KOSHITA |
| 1st Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tohoku University() |
| 2nd Author's Name | Masahide ABE |
| 2nd Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tohoku University |
| 3rd Author's Name | Masayuki KAWAMATA |
| 3rd Author's Affiliation | Department of Electronic Engineering, Graduate School of Engineering, Tohoku University |
| Date | 2005-06-27 |
| Paper # | CAS2005-8,VLD2005-19,SIP2005-32 |
| Volume (vol) | vol.105 |
| Number (no) | 147 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |