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Computing phase noise eigenfunctions directly from steady-state Jacobian matrices

Authors:

Alper Demir,

David Long,

Jaijeet RoychowdhuryAuthors Info & Claims

ICCAD '00: Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design

Pages 283 - 289

Published: 05 November 2000 Publication History

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Abstract

The main effort in oscillator phase noise calculation lies in computing a vector function called the Perturbation Projection Vector (PPV). Current techniques for PPV calculation use time domain numerics to generate the system's monodromy matrix, followed by full or partial eigenanalysis. We present a superior method that finds the PPV using only a single linear solution of the oscillator's time- or frequency-domain steady-state Jacobian matrix. The new method is better suited for existing tools with fast harmonic balance or shooting capabilities, and also more accurate than explicit eigenanalysis. A key advantage is that it dispenses with the need to select the correct one-eigenfunction from amongst a potentially large set of choices, an issue that explicit eigencalculation based methods have to face.

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Harutyunyan DRommes JMaten JSchilders W(2009)Simulation of mutually coupled oscillators using nonlinear phase macromodelsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2009.202635928:10(1456-1466)Online publication date: 1-Oct-2009
https://dl.acm.org/doi/10.1109/TCAD.2009.2026359
Gourary MRusakov SUlyanov SZharov MMulvaney BGullapalli KSciuto D(2008)Analysis of oscillator injection locking by harmonic balance methodProceedings of the conference on Design, automation and test in Europe10.1145/1403375.1403452(318-323)Online publication date: 10-Mar-2008
https://dl.acm.org/doi/10.1145/1403375.1403452
Wang ZLai XRoychowdhury JLevitan S(2007)PV-PPVProceedings of the 44th annual Design Automation Conference10.1145/1278480.1278516(142-147)Online publication date: 4-Jun-2007
https://dl.acm.org/doi/10.1145/1278480.1278516
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A prerequisite for computing phase noise is finding Perturbation Projection Vector (PPV), a periodic vector function that encapsulates the "transfer function" between individual noise sources and the phase noise of the oscillator. In this paper, we ...

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ICCAD '00: Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design

November 2000

558 pages

ISBN:0780364481

Conference Chair:
Ellen M. Sentovich
Cadence Berkley Labs., Berkley, California

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IEEE Press

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Published: 05 November 2000

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ICCAD '00

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SIGDA

ICCAD '00: International Conference on Computer Aided Design

November 5 - 9, 2000

California, San Jose

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Overall Acceptance Rate 457 of 1,762 submissions, 26%

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Harutyunyan DRommes JMaten JSchilders W(2009)Simulation of mutually coupled oscillators using nonlinear phase macromodelsIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems10.1109/TCAD.2009.202635928:10(1456-1466)Online publication date: 1-Oct-2009
https://dl.acm.org/doi/10.1109/TCAD.2009.2026359
Gourary MRusakov SUlyanov SZharov MMulvaney BGullapalli KSciuto D(2008)Analysis of oscillator injection locking by harmonic balance methodProceedings of the conference on Design, automation and test in Europe10.1145/1403375.1403452(318-323)Online publication date: 10-Mar-2008
https://dl.acm.org/doi/10.1145/1403375.1403452
Wang ZLai XRoychowdhury JLevitan S(2007)PV-PPVProceedings of the 44th annual Design Automation Conference10.1145/1278480.1278516(142-147)Online publication date: 4-Jun-2007
https://dl.acm.org/doi/10.1145/1278480.1278516
Lai XRoychowdhury JHassoun S(2006)TP-PPVProceedings of the 2006 IEEE/ACM international conference on Computer-aided design10.1145/1233501.1233555(269-274)Online publication date: 5-Nov-2006
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Lai XRoychowdhury JHirose F(2006)Macromodelling oscillators using Krylov-subspace methodsProceedings of the 2006 Asia and South Pacific Design Automation Conference10.1145/1118299.1118426(527-532)Online publication date: 24-Jan-2006
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Lai XRoychowdhury JHirose F(2006)Fast simulation of large networks of nanotechnological and biochemical oscillators for investigating self-organization phenomenaProceedings of the 2006 Asia and South Pacific Design Automation Conference10.1145/1118299.1118370(273-278)Online publication date: 24-Jan-2006
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Mansour MMansour MMehrotra AImai M(2004)Analysis of MOS cross-coupled LC-tank oscillators using short-channel device equationsProceedings of the 2004 Asia and South Pacific Design Automation Conference10.5555/1015090.1015133(181-185)Online publication date: 27-Jan-2004
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Lai XRoychowdhury J(2004)Automated oscillator macromodelling techniques for capturing amplitude variations and injection lockingProceedings of the 2004 IEEE/ACM International conference on Computer-aided design10.1109/ICCAD.2004.1382663(687-694)Online publication date: 7-Nov-2004
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Wambacq PVandersteen GPhillips JRoychowdhury JEberle WYang BLong DDemir A(2001)CAD for RF circuitsProceedings of the conference on Design, automation and test in Europe10.5555/367072.367364(520-529)Online publication date: 13-Mar-2001
https://dl.acm.org/doi/10.5555/367072.367364

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A two-phase preconditioning strategy of sparse approximate inverse for indefinite matrices

Computing eigenvalues of normal matrices via complex symmetric matrices

Computing Phase Noise Eigenfunctions Directly from Harmonic Balance/Shooting Matrices

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