Presentation 2012-11-20
Creation and Annihilation of Trajectories in Discrete-Time Piecewise Constant Systems
Hisato FUJISAKA, Takeshi KAMIO, Kazuhisa HAEIWA,
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Abstract(in English) Switched-capacitor sigma-delta modulators possessing quantizers are considered as discrete-time systems with piecewise constant functions. Trajectories of the systems in a phase space contain distinctive finite-length trajectories reflecting the level of system inputs. We computed frequency of appearing the finite-length trajectories for the second and third-order systems. The computation revealed the creation and annihilation of the trajectories depending on system inputs. Especially for the second-order system, we realized the mechanism of the creation-annihilation phenomenon.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) sigma-delta modulation / piecewise constant function / discrete-time system / trajectory / creation-annihilation
Paper # NLP2012-84
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Conference Information
Committee NLP
Conference Date 2012/11/12(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Creation and Annihilation of Trajectories in Discrete-Time Piecewise Constant Systems
Sub Title (in English)
Keyword(1) sigma-delta modulation
Keyword(2) piecewise constant function
Keyword(3) discrete-time system
Keyword(4) trajectory
Keyword(5) creation-annihilation
1st Author's Name Hisato FUJISAKA
1st Author's Affiliation Faculty of information Sciences Hiroshima City University()
2nd Author's Name Takeshi KAMIO
2nd Author's Affiliation Faculty of information Sciences Hiroshima City University
3rd Author's Name Kazuhisa HAEIWA
3rd Author's Affiliation Faculty of information Sciences Hiroshima City University
Date 2012-11-20
Paper # NLP2012-84
Volume (vol) vol.112
Number (no) 301
Page pp.pp.-
#Pages 6
Date of Issue