2 research outputs found
Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems
Oscillator models are central to the study of system properties such as
entrainment or synchronization. Due to their nonlinear nature, few
system-theoretic tools exist to analyze those models. The paper develops a
sensitivity analysis for phase-response curves, a fundamental one-dimensional
phase reduction of oscillator models. The proposed theoretical and numerical
analysis tools are illustrated on several system-theoretic questions and models
arising in the biology of cellular rhythms
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Automated analysis, design, and optimization of low noise oscillators
Low noise oscillators are universally needed in digital systems for clock generation and synchronization, and in radio-frequency communication front-ends for frequency up- and down-conversion. Noise in oscillators results in timing jitter, and limits the clock frequency of digital systems. In radio-frequency communication systems, phase noise in oscillators lowers the signal-to-noise ratio of transmitters and receivers, and degrades the overall bit-error-rate. Therefore, accurate simulation and optimization of oscillator noise performance is of utmost importance.
The focus of this dissertation is on automated analysis, design and optimization of low noise oscillators. Several advances in oscillator analysis that facilitate automated oscillator design and optimization are presented. These include a new sensitivity analysis for oscillators, a design-oriented circuit analysis technique, and an oscillator design optimization approach. The sensitivity analysis calculates sensitivities of an oscillator's periodic steady-state and perturbation projection vector to design, process, or environmental parameters. In the design-oriented approach to circuit analysis the circuit response is computed together with the values of circuit parameters that result in a desired circuit performance. These analyses form the foundation for an efficient oscillator optimization technique that is general and applicable to all oscillator types.Keywords: simulation, circuit, analysis, sensitivity, optimization, design, oscillato