Applying harmonic balance to almost-periodic circuits
- 1 January 1988
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Microwave Theory and Techniques
- Vol. 36 (2) , 366-378
- https://doi.org/10.1109/22.3525
Abstract
A new Fourier transform algorithm for almost-periodic functions (the APFT) is developed. It is both efficient and accurate. Unlike previous attempts to solve this problem, the new algorithm does not constrain the input frequencies and uses the theoretical minimum number of time points. Also presented is a particularly simple derivation of harmonic Newton (the algorithm that results when Newton's method is applied to solve the harmonic balance equations) using the APFT; this derivation uses the same matrix representation used in the derivation of the APFT. Since the APFT includes the DFT (discrete Fourier transform) as a special case, all results are applicable to both the periodic and almost-periodic forms of harmonic NewtonKeywords
This publication has 7 references indexed in Scilit:
- GaAs FET device and circuit simulation in SPICEIEEE Transactions on Electron Devices, 1987
- Nonlinear Circuit Design Using the Modified Harmonic Balance AlgorithmIEEE Transactions on Microwave Theory and Techniques, 1986
- Simulation of Nonlinear Circuits in the Frequency DomainIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 1986
- Frequency-domain analysis of nonlinear circuits driven by multi-tone signalsIEEE Transactions on Circuits and Systems, 1984
- MESFET Distributed Amplifier Design GuidelinesIEEE Transactions on Microwave Theory and Techniques, 1984
- An algebraic formula for the output of a system with large-signal, multifrequency excitationProceedings of the IEEE, 1983
- Device modeling via nonlinear circuit elementsIEEE Transactions on Circuits and Systems, 1980