NDLI: Behavioral modeling of (coupled) harmonic oscillators

Content Provider	IEEE Xplore Digital Library
Author	Vanassche, P. Gielen, G. Sansen, W.
Copyright Year	2002
Description	Author affiliation: ESAT/MICAS, Katholieke Univ., Leuven, Belgium (Vanassche, P.; Gielen, G.; Sansen, W.)
Abstract	A new approach is presented for the construction of behavioral models for harmonic oscillators and sets of coupled harmonic oscillators. The models can be used for system-level simulations and trade-off analysis. Besides the steady-state behavior, the model also takes the transient behavior of the oscillation amplitudes and phase differences into account. This behavior is modeled using a set of linear differential equations. Their extraction from a netlist description is based upon the ideas of perturbation analysis and stochastic averaging. The modeling equations are valid in the neighbourhood of the oscillator's steady-state operating point and can be evaluated at very low computational cost. Another major advantage of the approach is that it explicitely separates the fast-varying steady-state behavior and the slow-varying transient behavior. This allows for straightforward application of multi-rate simulation techniques, greatly boosting simulation speeds. The technique is illustrated for a quadrature oscillator.
Sponsorship	ACM EDA Consortium IEEE SSCS
Starting Page	536
Ending Page	541
File Size	616754
Page Count	6
File Format	PDF
ISBN	1581134614
ISSN	0738100X
DOI	10.1109/DAC.2002.1012683
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-06-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Association for Computing Machinery, Inc. (ACM)
Subject Keyword	Oscillators Power harmonic filters Steady-state Mathematical model Computational modeling Permission Phase noise Analytical models Differential equations Stochastic processes
Content Type	Text
Resource Type	Article

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