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- W2531849233 abstract "Oscillators are building blocks in many electrical and physical systems. The simulation of oscillatory systems presents unique challenges; for example, conventional SPICE-like transient simulation can be very inefficient. The fundamental reason is that small numerical errors in can accumulate unboundedly during oscillator transient resulting in unacceptable inaccuracy unless extremely small time steps are taken. As a result, most simulation tasks related to oscillators, and particularly envelope simulation, suffer from a poor tradeoff between computation and accuracy. In this thesis, we present theoretical formulations and numerical techniques to improve this tradeoff. First, we present an oscillator envelope-following approach that is robust and efficient when both fast and slow behaviors are presented in the system. Traditional envelope-following methods face special challenges when applied to oscillators because of their dynamically changing frequencies. Our technique introduces two extra system unknowns, as well as two extra phase condition equations, to track quantities related to dynamical frequency/time-period changes. Furthermore, we show that a modification of our technique, based on least square solution, can extend its applicability to non-autonomous circuits. We also present a novel AC (small signal) analysis method for oscillators. Standard small signal analysis breaks down for oscillators since small perturbations result in arbitrarily large changes at output. In our approach, we use a general equation formulation, termed the GeMPDE, which results in small output changes when oscillators are perturbed by small inputs. Finally, we also present investigations into a variety of other aspects of oscillatory system such as steady state methods and their extensions to phase-domain macromodels of oscillatory systems." @default.
- W2531849233 created "2016-10-21" @default.
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- W2531849233 date "2006-01-01" @default.
- W2531849233 modified "2023-10-17" @default.
- W2531849233 title "Robust envelope and small-signal simulation algorithms for oscillatory systems" @default.
- W2531849233 hasPublicationYear "2006" @default.
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