GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Discrete-time signal processing
Discrete-time signal processing
Efficient AC and noise analysis of two-tone RF circuits
DAC '96 Proceedings of the 33rd annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A novel wavelet method for noise analysis of nonlinear circuits
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Bibliography on cyclostationarity
Signal Processing
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Many mixed-technology and mixed-signal designs require the assessment of the system's performance in the presence of signals that are best characterized as having continuous frequency spectra: for instance, the simulation of a circuit's behavior in the presence of electrical noise. This paper describes an algorithm for frequency-domain simulation of nonlinear systems capable of handling signals with continuous spectra. The algorithm is based on an orthogonal series expansion of the signals in the frequency domain. Thus it is, in a sense, the dual approach to frequency-domain simulation with respect to harmonic balance, which relies on a time-domain series expansion of the signals. Signal spectra are obtained from the solution of a system of nonlinear algebraic equations whose dimension increases with the desired spectral accuracy. Numerical results obtained on an optical amplifier are presented.