Title :
Applying harmonic balance to almost-periodic circuits
Author :
Kundert, Kenneth S. ; Sorkin, Gregory B. ; Sangiovanni-Vincentelli, Alberto
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
fDate :
2/1/1988 12:00:00 AM
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 Newton
Keywords :
Fourier transforms; nonlinear network analysis; solid-state microwave circuits; DFT; Fourier transform algorithm; almost-periodic circuits; almost-periodic functions; discrete Fourier transform; harmonic Newton; harmonic balance; nonlinear microwave circuits; simulation; Circuit simulation; Circuits; Computational complexity; Computational modeling; Constraint theory; Discrete Fourier transforms; Discrete transforms; Equations; Fourier transforms; Frequency; Frequency domain analysis; Microwave circuits; Microwave theory and techniques; Newton method; Steady-state; Time domain analysis;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
