Signal-flow-graph analysis of weakly nonlinear microwave circuits around a large-signal operating point

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Amakawa, Shuhei and Sugimoto, Ryotaro and Tokgöz, Korkut Kaan and Lee, Sangyeop and Ito, Hiroyuki and Kishikawa, Ryoko (2023) Signal-flow-graph analysis of weakly nonlinear microwave circuits around a large-signal operating point. IEEE Transactions on Microwave Theory and Techniques, 71 (9). pp. 3722-3733. ISSN 0018-9480 (Print) 1557-9670 (Online)

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Abstract

A signal flow graph (SFG) representation of small-signal responses of nonlinear microwave circuits around a large-signal operating point is developed using the X-parameters. It is shown that, unlike the SFGs for linear circuits, negative-frequency nodes need to be included explicitly. The development elucidates the circuit-operational meaning of the elusive T-type small-signal X-parameters, which represent the interaction between positive-and negative-frequency components. As an example, such an SFG is used to derive a closed-form expression of the output power of an amplifier as a function of the load reflection coefficient. It is then used to plot approximate load-pull power contours. The result is consistent with the expressions of the optimum load reflection coefficient derived by Root et al. (EuMIC 2017) and power contours derived by Pelaez-Perez et al. (TMTT 2013). SFGs provide an alternative systematic means to derive closed-form expressions in terms of X-parameters and gain illuminating insights into the workings of weakly nonlinear circuits.
Item Type: Article
Uncontrolled Keywords: Frequency mixing; Harmonic analysis; Impedance; Integrated circuit modeling; intermodulation distortion; Microwave amplifiers; Microwave circuits; Nonlinear circuits; polyharmonic distortion model; S-functions; Scattering parameters; uncertainty propagation; X-parameters
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering > TK7800-8360 Electronics
Divisions: Faculty of Engineering and Natural Sciences > Academic programs > Electronics
Faculty of Engineering and Natural Sciences
Depositing User: Korkut Kaan Tokgöz
Date Deposited: 03 Oct 2023 15:36
Last Modified: 03 Oct 2023 15:37
URI: https://research.sabanciuniv.edu/id/eprint/48292

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