Nonlinear modeling and verification of MMIC amplifiers using the waveform-balance method

Hwang, V.D.; Shih, Yi-Chi; Le, Hai-Nam; Itoh, T.

doi:10.1109/22.44131

Cited by 18 publications

(2 citation statements)

References 6 publications

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“…Consequently, the waveform balance method is numerically inefficient and only practical when the waveform is periodic. For the periodic case good results were reported by Hwang et al for a monolithically integrated amplifier [56]. It can be expected to be impractical with multitone excitation as then the Jacobian will be very large as well as being dense, so that the amount of linear algebra will be prohibitive.…”

Section: Formulation Of the Harmonic Balance Equationssupporting

confidence: 50%

“…The coefficients which multiply qn and v, are constants and can be computed just once. This approach is sometimes known as the waveform balance method [56], in which the unknown quantities are the samples of the waveforms themselves. However, the approach is mathematically identical to achieving balance in the frequency-domain, although for a nodal approach the Jacobian matrix needed for solution will be dense, because unlike the harmonic components at purely linear nodes, the waveform samples are not orthogonal and sensitivity between adjacent samples is therefore nonzero.…”

Section: Balance Equationsmentioning

confidence: 99%

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Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introductory concepts

Gilmore

Steer

1991

Int. J. Microw. Mill.‐Wave Comput.‐Aided Eng.

182

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The harmonic balance method is a technique for the numerical solution of nonlinear analog circuits operating in a periodic, or quasi-periodic, steady-state regime. The method can be used to efficiently derive the continuous-wave response of numerous nonlinear microwave components including amplifiers, mixers, and oscillators. Its efficiency derives from imposing a predetermined steady-state form for the circuit response onto the nonlinear equations representing the network, and solving for the set of unknown coefficients in the response equation. Its attractiveness for nonlinear microwave applications results from its speed and ability to simply represent the dispersive, distributed elements that are common at high frequencies. The last decade has seen the development and application of harmonic balance techniques to model analog circuits, particularly microwave circuits. The first part of this paper reviews the fundamental achievements made during this time. The second part covers the extension of the method to quasi-periodic regimes, optimization analysis, and practical application. A critical assessment of the various types of harmonic balance techniques is given. The different sampling and Fourier transform methods are compared, and numerical speed and precision results are given enabling a quantitative analysis of the merits of the major variants of the harmonic balance technique. Examples of designs which have been modeled using the harmonic balance technique and built both in hybrid and MMlC form are presented.

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Section: Formulation Of the Harmonic Balance Equationssupporting

confidence: 50%

Section: Balance Equationsmentioning

confidence: 99%

Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introductory concepts

Gilmore

Steer

1991

Int. J. Microw. Mill.‐Wave Comput.‐Aided Eng.

182

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Microwave and millimeter‐wave device and circuit design based on physical modeling

Snowden

1991

Int. J. Microw. Mill.‐Wave Comput.‐Aided Eng.

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The development and application of physical models for use in the design of microwave and millimeter-wave devices and circuits is reviewed. The relative merits of physical models for a variety of active and passive devices are presented together with state-of-the-art results. Particular emphasis is placed on the suitability of the models for use in computer-aided design software. The techniques used to implement the models in linear and nonlinear designs are examined. Recent developments are presented which indicate the trend toward incorporating these types of models in future design software packages.

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Modélisation non linéaire de transistors MESFET

Peden

Perichon

1992

Ann. Télécommun.

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Nonlinear modeling and verification of MMIC amplifiers using the waveform-balance method

Cited by 18 publications

References 6 publications

Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introductory concepts

Nonlinear circuit analysis using the method of harmonic balance—A review of the art. Part I. Introductory concepts

Microwave and millimeter‐wave device and circuit design based on physical modeling

Modélisation non linéaire de transistors MESFET

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