Cyclostationarity: half a century of research

Advances in global linear instability analysis of nonparallel and three-dimensional flows

This paper describes the latest and most advanced surface-potential-based model jointly developed by The Pennsylvania State University and Philips. Specific topics include model structure, mobility and velocity saturation description, further development and verification of symmetric linearization method, recent advances in the computational techniques for the surface potential, modeling of gate tunneling current, inclusion of the retrograde impurity profile, and noise sources. The emphasis of this paper is on incorporating the recent advances in MOS device physics and modeling within the compact modeling context

PSP: An Advanced Surface-Potential-Based MOSFET Model for Circuit Simulation

In this paper, we propose a new harmonic balance simulation methodology based on a linear-centric modeling approach. A linear circuit representation of the nonlinear devices and associated parasitics is used along with corresponding time and frequency domain inputs to solve for the nonlinear steady-state response via successive chord (SC) iterations. For our circuit examples, this approach is shown to be up to 60/spl times/ more run-time efficient than traditional Newton-Raphson (N-R) based iterative methods, while providing the same level of accuracy. This SC-based approach converges as reliably as the N-R approaches, including for circuit problems which cause alternative relaxation-based harmonic balance approaches to fail. The efficacy of this linear-centric methodology further improves with increasing model complexity, the inclusion of interconnect parasitics and other analyses that are otherwise difficult with traditional nonlinear models.

/pdf/a-linear-centric-modeling-approach-to-harmonic-balance-1hgxpfo186.pdf

A Linear-Centric Modeling Approach to Harmonic Balance Analysis

https://www.dtc.umn.edu/s/resources/bib05eurasip.pdf

Bibliography on cyclostationarity

Problems that have continued to remain in some of the recently published MOSFET compact models are demonstrated in this paper. Of particular interest are discontinuities observed in these models at the boundary between forward and reverse mode operation. A new MOSFET model is presented that overcomes the errors present in state-of-the-art models. Comparison with measured data is also presented to validate the new model.

An improved MOSFET model for circuit simulation

The present invention generates a model of a graded channel transistor having at least two channel portions of differing doping concentrations. The present invention assumes a uniform doping concentration of each channel portion. Each of the channel portions is modeled using a standard transistor model (100, 120) with junction voltages (64) resulting between the transistor models. The junction voltages (64) are determined to be at a level such that the channel currents of the transistor models (60, 62) are equal. Once the junction voltages (64) are determined, the parameters of the transistor models (60, 62) are determined. Once the transistor models (60, 62) are determined, the models are combined to produce a composite transistor model (70) for the transistor using standard circuit reduction techniques. The composite model produced is scalable with respect to geometry, is continuous, and is differentiable. Steps are also disclosed for manufacturing integrated circuits using the modeling techniques of the present invention.

Apparatus and method for modeling a graded channel transistor

Harmonic balance (HB) is a steady-state simulation technique of primary interest for RF and microwave circuits. Krylov subspace methods promise efficient solution of the large linear systems that arise in HB simulators. This paper deals with an experimental investigation of GMRES and QMR, two leading Krylov subspace methods as applied to the HB problem. The problem of coordinating the linear solver's accuracy with the error at the nonlinear level is also discussed.

Iterative solution of linear systems in harmonic balance analysis

A robust and efficient oscillator analysis technique using harmonic balance

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.

K.K. Gullapalli

Papers

An improved MOSFET model for circuit simulation

Apparatus and method for modeling a graded channel transistor

Iterative solution of linear systems in harmonic balance analysis

A robust and efficient oscillator analysis technique using harmonic balance

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