The characteristics of spatio-temporal periodic oscillations occurring in CNNs composed by a ÿnite number of cells are investigated through a harmonic balance technique. It is shown that for an N -cell CNN described by the template [a-1; a0; a1], this technique leads to a set of 2N non-linear equati
A robust and efficient oscillator analysis technique using harmonic balance
✍ Scribed by M. Gourary; S. Ulyanov; M. Zharov; S. Rusakov; K.K. Gullapalli; B.J. Mulvaney
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 400 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
In this paper, we present a new technique, based on a continuation method, for oscillator analysis using harmonic balance. With the use of Krylov subspace iterative linear solvers, harmonic balance has become a very powerful method for the analysis of general nonlinear circuits in the frequency domain. However, application of the harmonic balance method to the oscillator problem has been dicult. The strong dependence of the oscillator behavior on frequency, and the dependence of the frequency of oscillation on the circuit waveforms result in a very small region of convergence for harmonic balance. The main contribution of this paper is a robust and ecient continuation method to obtain global convergence.
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