Phase noise in oscillators as differential-algebraic systems with colored noise sources

Alper Demir

doi:10.1117/12.544480

25 May 2004 Phase noise in oscillators as differential-algebraic systems with colored noise sources

Alper Demir

Proceedings Volume 5470, Noise in Devices and Circuits II; (2004) https://doi.org/10.1117/12.544480
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

Oscillators are key components of many kinds of systems, particularly electronic and opto-electronic systems. Undesired perturbations, i.e. noise, in practical systems adversely affect the spectral and timing properties of the signals generated by oscillators resulting in phase noise and timing jitter, which are key performance limiting factors, being major contributors to bit-error-rate (BER) of RF and possibly optical communication systems, and creating synchronization problems in clocked and sampled-data electronic systems. In this paper, we review our work on the theory and numerical methods for nonlinear perturbation and noise analysis of oscillators described by a system of differential-algebraic equations (DAEs) with white and colored noise sources. The bulk of the work reviewed in this paper first appeared in [1], then in [2] and [3]. Prior to the work mentioned above, we developed a theory and numerical methods for nonlinear perturbation and noise analysis of oscillators described by a system of ordinary differential equations (ODEs) with white noise sources only [4, 5]. In this paper, we also discuss some open problems and issues in the modeling and analysis of phase noise both in free running oscillators and in phase/injection-locked ones.

Citation Download Citation

Alper Demir "Phase noise in oscillators as differential-algebraic systems with colored noise sources", Proc. SPIE 5470, Noise in Devices and Circuits II, (25 May 2004); https://doi.org/10.1117/12.544480

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