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

Volume

36

Issue

2

fYear

1988

fDate

2/1/1988 12:00:00 AM

Firstpage

366

Lastpage

378

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;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.3525

Filename

3525