A rigorous yet simple method for determining stability of linear N-port networks [and MMIC application]

Struble, W.; Platzker, A.

doi:10.1109/gaas.1993.394458

Cited by 77 publications

(42 citation statements)

References 4 publications

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“…Here we do not present the theory of Struble and Platzker [27] but just apply this methodology to our structures.…”

Section: Electrical Stability Considerations Of Recursive Structurmentioning

confidence: 98%

“…Among these, A. Platzker has shown in [27] that all the existing coefficients used to establish a stability diagnosis can be efficiently interpreted only if the devices do not themselves present any intrinsic instabilities. Starting from Bode's theory, a novel interpretation of Cauchy's theorem is described leading to new concepts such as "Return Ratio" and "Normalized Determinant Function (NDF)".…”

Section: Electrical Stability Considerations Of Recursive Structurmentioning

confidence: 99%

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Recent advances in microwave active filter design. Part 1: Low-frequency techniques and noise optimization

Billonnet

Jarry

Sussman‐Fort

et al. 2002

Int J RF and Microwave Comp Aid Eng

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This two-part article presents a representative sample of recent advances in microwave active filter design. In part one, we discuss design techniques based on both analog and digital low-frequency methods that have been adapted to microwaves. From circuits with analog origins, we present simulated results, with some experimental verification, for a frequency-dependent negative resistance (FDNR) and active-inductance MMIC bandpass filters. From circuits with digital origins, we present experimental results for recursive filters, including MMIC bandpass and bandstop structures as well as higher-order cascaded sections. Part one concludes with a discussion of the noise-wave formalism and experimental results for active-recursive and tunable ring-resonator filters with minimum noise figure.

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“…Here we do not present the theory of Struble and Platzker [27] but just apply this methodology to our structures.…”

Section: Electrical Stability Considerations Of Recursive Structurmentioning

confidence: 98%

Section: Electrical Stability Considerations Of Recursive Structurmentioning

confidence: 99%

Recent advances in microwave active filter design. Part 1: Low-frequency techniques and noise optimization

Billonnet

Jarry

Sussman‐Fort

et al. 2002

Int J RF and Microwave Comp Aid Eng

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“…Return-ratio matrix formulation [11] unifies linear and nonlinear analysis. A related procedure is the normalized determinant function [12]. Examples of other techniques that are used in practice to search for oscillations are based on the use of an admittance probe [13], or the use of a conversion matrix analysis to apply Nyquist criteria and predict the occurrence of divided by 2 signal [14] or to obtain the transfer function of the linearized circuit with a single input and a single output (SISO), as a closed-loop feedback system, directly identifying its poles and zeros [15,16].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear circuit stability under large-signal pumping: Three-port μ stability factor versus conversion matrix system identification-application to a millimeter-wave band MMIC up-converter

Detratti¹,

Aja²,

Fuente³

et al. 2010

Int J RF and Microwave Comp Aid Eng

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This article presents and discusses a method to determine stability in nonlinear three-port circuits based on a generalized three-port l stability factor applied to linearized S parameters under large-signal pumping. A comparison with an extension of the conversion matrix-based, system pole-zero identification used to analyze circuit stability is also presented. The relationship between the two techniques has been verified by means of an ideal two-port nonlinear circuit, and then, it has been applied in the design of a three-port millimeter-wave Monolithic Microwave Integrated Circuit (MMIC) up-converter. The circuit has been fabricated in a commercial GaAs process. On-wafer measurements showed an average conversion loss about 3.5 dB in a RF bandwidth between 40.4 and 41.5 GHz with local oscillator (LO) frequency fixed at 42.5 GHz. A RF/LO isolation better than 25 dB was measured in the whole band, also showing outstanding intermodulation performance. With the proposed approach, the appearance of spurious oscillations was prevented.

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“…1), though it can become unstable for particular loading conditions (conditional stability). It is also assumed that it fulfills the Rollet proviso, that is, it does not contain any poles on the right-hand side of the complex plane when the termination loads are replaced with zero or infinite impedances [18][19]27]. Indeed, the objective is to analyze the possible destabilization due to output mismatch effects.…”

Section: Small-signal Analysismentioning

confidence: 99%

“…This is different from regular stability analyses that require knowledge of the frequency response of all the circuit elements [17][18][19][20][21][22][23][24][25]. Two different situations are analyzed in two nonlinear amplifiers used as demonstrators.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Power Amplifiers Under Output Mismatch Effects

Suárez

Ramírez

Sancho

2014

IEEE Trans. Microwave Theory Techn.

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1 Abstract -Novel criteria are presented for small-and large-signal stability analysis of microwave circuits under output mismatch effects. They are based on concepts from bifurcation theory, which enable the derivation of general equations for the stability boundaries that depend on the termination load. The boundary calculation does not require any optimization of the circuit parameters. Instead, it is based on the direct calculation of an admittance function obtained through circuit linearization about either the dc solution, in the small-signal stability analysis, or the periodic solution, in the large-signal one, with low computational cost. As will be demonstrated both with homotopy and bifurcation concepts, the Hopf locus obtained in this way delimits a stable region and a potentially unstable one. In a large-signal stability analysis, the sidebands that influence the stability properties are identified, which depend on the particular amplifier topology and its filtering effects. The stability boundaries are then calculated with the conversion matrix approach for all load impedance values at the relevant harmonic and sideband frequencies. For the derivation of absolute stability conditions, a new scattering type matrix is proposed describing the circuit response from the output reference plane with respect to the two sidebands about the input carrier. The new methodologies and formulations have been validated by independent simulations using pole-zero identification, and by measurements.

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A rigorous yet simple method for determining stability of linear N-port networks [and MMIC application]

Cited by 77 publications

References 4 publications

Recent advances in microwave active filter design. Part 1: Low-frequency techniques and noise optimization

Recent advances in microwave active filter design. Part 1: Low-frequency techniques and noise optimization

Nonlinear circuit stability under large-signal pumping: Three-port μ stability factor versus conversion matrix system identification-application to a millimeter-wave band MMIC up-converter

Stability Analysis of Power Amplifiers Under Output Mismatch Effects

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