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Physical Realizable Circuit Structure For Adaptive Frequency Hopf Oscillator

Physical Realizable Circuit Structure For Adaptive Frequency Hopf Oscillator
Physical Realizable Circuit Structure For Adaptive Frequency Hopf Oscillator
This paper presents a novel structure for the adaptive frequency Hopf oscillator where the nonlinear function is modified to make the system realizable using analog circuit components. A mathematical model is derived and it is shown using VHDL-AMS model that despite using a new nonlinear function, the oscillator exhibits the same characteristics as the original. Our simulation results show the same learning behavior with improved learning time. Subsequently, an equivalent circuit model and transistor level implementation for the oscillator is suggested and the mathematical model is confirmed with system and circuit level simulations.
Nonlinear Oscillators, Hopf bifurcation, Analog signal processing, Frequency adaptation, Locomotion system, Frequency detection
Ahmadi, Arash
c88cc469-b208-4dad-9541-af5e555e0748
Mangieri, Eduardo
11b9b0b2-24c1-44c0-975c-7aa50937259e
Maharatna, Koushik
93bef0a2-e011-4622-8c56-5447da4cd5dd
Zwolinski, Mark
adfcb8e7-877f-4bd7-9b55-7553b6cb3ea0
Ahmadi, Arash
c88cc469-b208-4dad-9541-af5e555e0748
Mangieri, Eduardo
11b9b0b2-24c1-44c0-975c-7aa50937259e
Maharatna, Koushik
93bef0a2-e011-4622-8c56-5447da4cd5dd
Zwolinski, Mark
adfcb8e7-877f-4bd7-9b55-7553b6cb3ea0

Ahmadi, Arash, Mangieri, Eduardo, Maharatna, Koushik and Zwolinski, Mark (2009) Physical Realizable Circuit Structure For Adaptive Frequency Hopf Oscillator. NEWCAS-TAISA'09, Toulouse, France. 28 Jun - 01 Jul 2009.

Record type: Conference or Workshop Item (Paper)

Abstract

This paper presents a novel structure for the adaptive frequency Hopf oscillator where the nonlinear function is modified to make the system realizable using analog circuit components. A mathematical model is derived and it is shown using VHDL-AMS model that despite using a new nonlinear function, the oscillator exhibits the same characteristics as the original. Our simulation results show the same learning behavior with improved learning time. Subsequently, an equivalent circuit model and transistor level implementation for the oscillator is suggested and the mathematical model is confirmed with system and circuit level simulations.

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More information

Published date: 28 June 2009
Additional Information: Event Dates: 28 June-1July 2009
Venue - Dates: NEWCAS-TAISA'09, Toulouse, France, 2009-06-28 - 2009-07-01
Keywords: Nonlinear Oscillators, Hopf bifurcation, Analog signal processing, Frequency adaptation, Locomotion system, Frequency detection
Organisations: Electronic & Software Systems, EEE

Identifiers

Local EPrints ID: 267350
URI: http://eprints.soton.ac.uk/id/eprint/267350
PURE UUID: aa7465d2-4a51-49b3-884b-99da57f9734c
ORCID for Mark Zwolinski: ORCID iD orcid.org/0000-0002-2230-625X

Catalogue record

Date deposited: 08 May 2009 14:27
Last modified: 15 Mar 2024 02:39

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Contributors

Author: Arash Ahmadi
Author: Eduardo Mangieri
Author: Koushik Maharatna
Author: Mark Zwolinski ORCID iD

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