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Analysis of white and f −α noise in oscillators
Author(s) -
Kaertner Franz X.
Publication year - 1990
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490180505
Subject(s) - white noise , parametric oscillator , noise (video) , van der pol oscillator , parametric statistics , langevin equation , phase noise , perturbation (astronomy) , statistical physics , perturbation theory (quantum mechanics) , mathematics , physics , electronic engineering , computer science , quantum mechanics , nonlinear system , engineering , statistics , artificial intelligence , image (mathematics)
In this paper the general correlation spectrum of an oscillator with white and f‐ αa noise sources is derived from the Langevin equations describing the deterministic and stochastic behaviour of an oscillator by perturbation methods. the treatment of f‐ α noise and the influence of the finite measuring time on the noise spectra are included in a time domain calculation. the theory is applied to a Van der Pol oscillator exhibiting parametric sideband amplification and to a realized oscillator demonstrating the applicability of the theory to technically relevant circuits.