Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Computer Methods for Circuit Analysis and Design
Computer Methods for Circuit Analysis and Design
Computer-aided design of microwave circuitry
Commercial wireless circuits and components hand book
Making Fourier-envelope simulation robust
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
Robust, stable time-domain methods for solving MPDEs of fast/slow systems
Proceedings of the 41st annual Design Automation Conference
An efficient and robust technique for tracking amplitude and frequency envelopes in oscillators
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
A robust envelope following method applicable to both non-autonomous and oscillatory circuits
Proceedings of the 43rd annual Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A versatile time-domain approach to simulate oscillators in RF circuits
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Envelope analysis of nonlinear electronic circuits based on harmonic balance method
International Journal of Circuit Theory and Applications
A GPU-accelerated envelope-following method for switching power converter simulation
DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
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In this paper we introduce a novel algorithm for numerically computing the "slow" dynamics (envelope) of circuits in which a "fast" varying carrier signal is also present. The algorithm proceeds at the rate of the slow behavior and its computational cost is fairly insensitive to the rate of the fast signals. The envelope computation problem is formulated as a differential-algebraic system of equations (DAEs) in terms of frequency-domain quantities (e.g. amplitudes and phases) that capture the fast varying behavior of the circuit. The solution of this DAE represents the "slow" variation of these quantities, i.e., the envelope. The efficiency of this method is the result of using the most appropriate method for each of the circuit modes: harmonic balance for the fast behavior and time-domain integration of DAEs for the slow behavior. The paper describes the theoretical foundations of the algorithm and presents several circuit analysis examples.