An Eigenvalue Study of a Double Integrator Oscillator

Erik Lindberg; K. Murali; A. Tamasevicius; Lutz von  Wangenheim

doi:10.1109/ECCTD.2009.5274952

An Eigenvalue Study of a Double Integrator Oscillator

Erik Lindberg, K. Murali, A. Tamasevicius, Lutz von Wangenheim

Department of Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

A tutorial study of an oscillator built from a loop of two active RC integrators and an ideal inverter. As a reference the linear harmonic oscillator is modeled as a LC circuit and as an ideal two integrator loop. The nonlinear amplifiers of the active RC integrator circuits are assumed to be linear with time varying gain and the eigenvalues are found as function of time. A design strategy based on the time-constants of the integrators is presented.

Original language	English
Title of host publication	Proceedings of the European Conference on Circuit Theory and Design : ECCTD'09 - Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009
Number of pages	905
Place of Publication	Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009
Publisher	IEEE
Publication date	2009
Pages	217-220
ISBN (Print)	978-1-4244-3896-9
DOIs	https://doi.org/10.1109/ECCTD.2009.5274952
Publication status	Published - 2009
Event	European Conference on Circuit Theory and Design 2009 - August 23 - 27, 2009 Divan Talya Hotel Antalya, Turkey Duration: 1 Jan 2009 → …

Conference

Conference	European Conference on Circuit Theory and Design 2009
City	August 23 - 27, 2009 Divan Talya Hotel Antalya, Turkey
Period	01/01/2009 → …

Bibliographical note

Copyright 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

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Lindberg, Erik ; Murali, K. ; Tamasevicius, A. ; von Wangenheim, Lutz. / An Eigenvalue Study of a Double Integrator Oscillator. Proceedings of the European Conference on Circuit Theory and Design: ECCTD'09 - Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009. Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009 : IEEE, 2009. pp. 217-220

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abstract = "A tutorial study of an oscillator built from a loop of two active RC integrators and an ideal inverter. As a reference the linear harmonic oscillator is modeled as a LC circuit and as an ideal two integrator loop. The nonlinear amplifiers of the active RC integrator circuits are assumed to be linear with time varying gain and the eigenvalues are found as function of time. A design strategy based on the time-constants of the integrators is presented.",

author = "Erik Lindberg and K. Murali and A. Tamasevicius and {von Wangenheim}, Lutz",

note = "Copyright 2009 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.; European Conference on Circuit Theory and Design 2009, ECCTD'09 ; Conference date: 01-01-2009",

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doi = "10.1109/ECCTD.2009.5274952",

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Lindberg, E, Murali, K, Tamasevicius, A & von Wangenheim, L 2009, An Eigenvalue Study of a Double Integrator Oscillator. in Proceedings of the European Conference on Circuit Theory and Design: ECCTD'09 - Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009. IEEE, Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009, pp. 217-220, European Conference on Circuit Theory and Design 2009, August 23 - 27, 2009 Divan Talya Hotel Antalya, Turkey, 01/01/2009. https://doi.org/10.1109/ECCTD.2009.5274952

An Eigenvalue Study of a Double Integrator Oscillator. / Lindberg, Erik; Murali, K.; Tamasevicius, A.; von Wangenheim, Lutz.

Proceedings of the European Conference on Circuit Theory and Design: ECCTD'09 - Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009. Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009 : IEEE, 2009. p. 217-220.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Lindberg E, Murali K, Tamasevicius A, von Wangenheim L. An Eigenvalue Study of a Double Integrator Oscillator. In Proceedings of the European Conference on Circuit Theory and Design: ECCTD'09 - Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009. Divan Talya Hotel Convention Center Antalya Turkey, August 23 - August 27, 2009: IEEE. 2009. p. 217-220 https://doi.org/10.1109/ECCTD.2009.5274952