Self-tuned regenerative amplification and the Hopf bifurcation

Jonathan Tapson; Tara Hamilton; Craig Jin; André Van Schaik

doi:10.1109/ISCAS.2008.4541781

Self-tuned regenerative amplification and the Hopf bifurcation

Jonathan Tapson, Tara Hamilton, Craig Jin, André Van Schaik

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

14 Citations (Scopus)

Abstract

Recent work in cochlear amplifier modeling has focused on systems which show the dynamics of a Hopf bifurcation. We show that these systems are examples of a generic amplifier topology, the self-tuned regenerative amplifier (STRA). The STRA is a feedback-stabilized regenerative amplifier that can be operated in a region of supercritical stability. The signatures of Hopf amplification, such as a cubic nonlinear small-signal response at resonance, are general features of the topology. The topology is shown to include a degenerate parametric amplifier, which may explain its low noise and insensitivity to input-feedback phase mismatch.

Original language	English
Title of host publication	2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008
Pages	1768-1771
Number of pages	4
DOIs	https://doi.org/10.1109/ISCAS.2008.4541781
Publication status	Published - 2008
Externally published	Yes
Event	2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008 - Seattle, WA, United States Duration: 18 May 2008 → 21 May 2008

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
ISSN (Print)	0271-4310

Conference

Conference	2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008
Country/Territory	United States
City	Seattle, WA
Period	18/05/08 → 21/05/08

Access to Document

10.1109/ISCAS.2008.4541781

Cite this

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title = "Self-tuned regenerative amplification and the Hopf bifurcation",

abstract = "Recent work in cochlear amplifier modeling has focused on systems which show the dynamics of a Hopf bifurcation. We show that these systems are examples of a generic amplifier topology, the self-tuned regenerative amplifier (STRA). The STRA is a feedback-stabilized regenerative amplifier that can be operated in a region of supercritical stability. The signatures of Hopf amplification, such as a cubic nonlinear small-signal response at resonance, are general features of the topology. The topology is shown to include a degenerate parametric amplifier, which may explain its low noise and insensitivity to input-feedback phase mismatch.",

author = "Jonathan Tapson and Tara Hamilton and Craig Jin and {Van Schaik}, Andr{\'e}",

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doi = "10.1109/ISCAS.2008.4541781",

language = "English",

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series = "Proceedings - IEEE International Symposium on Circuits and Systems",

pages = "1768--1771",

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Tapson, J, Hamilton, T, Jin, C & Van Schaik, A 2008, Self-tuned regenerative amplification and the Hopf bifurcation. in 2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008., 4541781, Proceedings - IEEE International Symposium on Circuits and Systems, pp. 1768-1771, 2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008, Seattle, WA, United States, 18/05/08. https://doi.org/10.1109/ISCAS.2008.4541781

Self-tuned regenerative amplification and the Hopf bifurcation. / Tapson, Jonathan; Hamilton, Tara; Jin, Craig et al.
2008 IEEE International Symposium on Circuits and Systems, ISCAS 2008. 2008. p. 1768-1771 4541781 (Proceedings - IEEE International Symposium on Circuits and Systems).

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

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AU - Van Schaik, André

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N2 - Recent work in cochlear amplifier modeling has focused on systems which show the dynamics of a Hopf bifurcation. We show that these systems are examples of a generic amplifier topology, the self-tuned regenerative amplifier (STRA). The STRA is a feedback-stabilized regenerative amplifier that can be operated in a region of supercritical stability. The signatures of Hopf amplification, such as a cubic nonlinear small-signal response at resonance, are general features of the topology. The topology is shown to include a degenerate parametric amplifier, which may explain its low noise and insensitivity to input-feedback phase mismatch.

AB - Recent work in cochlear amplifier modeling has focused on systems which show the dynamics of a Hopf bifurcation. We show that these systems are examples of a generic amplifier topology, the self-tuned regenerative amplifier (STRA). The STRA is a feedback-stabilized regenerative amplifier that can be operated in a region of supercritical stability. The signatures of Hopf amplification, such as a cubic nonlinear small-signal response at resonance, are general features of the topology. The topology is shown to include a degenerate parametric amplifier, which may explain its low noise and insensitivity to input-feedback phase mismatch.

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Self-tuned regenerative amplification and the Hopf bifurcation

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