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Patent

Method and apparatus for analyzing small signal response and noise in nonlinear circuits

TLDR
In this paper, the authors present a method for analyzing small signal response and noise in nonlinear circuits, which includes receiving a circuit description and circuit element models, generating circuit equations using the description and models, and determining a periodic stead-state response of the electrical circuit in the time domain.
Abstract
The present invention relates generally to analyzing small signal response and noise in nonlinear circuits. One embodiment relates to a computer implemented method for analyzing an electrical circuit. The method includes receiving a circuit description and circuit element models, generating circuit equations using the circuit description and models, and determining a periodic stead-state response of the electrical circuit in the time domain. The method further includes linearizing the circuit element models about the steady-state response, generating a time-varying linear system of equations, and representing a small signal solution to the time-varying linear system of equations in response to a sine wave input as an amplitude modulated sine wave. The method also includes discretizing the time-varying linear system of equations by discretizing only the amplitude modulation of the small signal solution and performing a time-varying small signal analysis of the electrical circuit using the discretized equations.

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Citations
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Cyclostationarity: half a century of research

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References
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Proceedings ArticleDOI

Efficient AC and noise analysis of two-tone RF circuits

TL;DR: A preconditioned recycled Krylov-subspace method to accelerate a recently developed approach for ac and noise analysis of linear periodically-varying communication circuits and is shown to be up to forty times faster than the standard optimized direct methods.
Journal ArticleDOI

Cyclostationary noise analysis of large RF circuits with multitone excitations

TL;DR: This paper introduces a new, efficient technique for analyzing noise in large RF circuits subjected to true multitone excitations, and establishes the nonintuitive result that bandpass filtering of cyclostationary noise can result in stationary noise.
Journal ArticleDOI

Numerical noise analysis for nonlinear circuits with a periodic large signal excitation including cyclostationary noise sources

TL;DR: In this paper, a numerical small signal noise analysis method for nonlinear circuits with a periodic large signal excitation, e.g., mixer circuits and switching circuits, is proposed.
Patent

Method and apparatus for simulating a microelectronic interconnect circuit

TL;DR: In this article, a directed graph of the DC equivalent circuit is generated and a spanning tree is constructed therefrom, which is then traversed to obtain multiple generations of circuit moments to calculate the poles and residues for a given node and generate an approximate model of the circuit's transient response at that node.
Patent

Method and apparatus for simulating a microelectric interconnect circuit

TL;DR: In this article, a directed graph of the DC equivalent circuit is generated and a spanning tree is constructed therefrom, which is then traversed to obtain multiple generations of circuit moments to calculate the poles and residues for a given node and generate an approximate model of the circuit's transient response at that node.
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