Harmonic balance and almost periodic inputs

We consider the equations of a large class of nonlinear circuits driven by asymptotically almost periodic inputs, and give an analytical basis for the use of harmonic balance to find steady-state solutions. More specifically, we show that in a certain setting of general interest there is a unique so...

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Bibliographic Details
Published in2002 IEEE International Symposium on Circuits and Systems (ISCAS) Vol. 1; p. I
Main Authors Sandberg, I.W., van Zyl, G.J.J.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2002
Subjects
Circuits
Context
Ear
Equations
Fourier series
Frequency
Harmonic analysis
Intermodulation distortion
Polynomials
Steady-state
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Summary:We consider the equations of a large class of nonlinear circuits driven by asymptotically almost periodic inputs, and give an analytical basis for the use of harmonic balance to find steady-state solutions. More specifically, we show that in a certain setting of general interest there is a unique solution to the problem of obtaining a harmonic balance approximation, and that in the approximations approach, the actual solution as additional spectral components, are included. Since any finite sum of sinusoidal functions with arbitrary frequencies is an almost periodic function, the results are of importance in connection with e.g., the determination of intermodulation effects. Our results involve a key circle-condition hypothesis.
ISBN:9780780374485
0780374487
DOI:10.1109/ISCAS.2002.1009921