Journal ArticleDOI
Analysis of white and f−α noise in oscillators
TLDR
The Langevin equations describing the deterministic and stochastic behaviour of an oscillator by perturbation methods are derived and 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.Abstract:
In this paper the general correlation spectrum of an oscillator with white and f -α 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 circuitsread more
Citations
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Journal ArticleDOI
Phase noise in oscillators: a unifying theory and numerical methods for characterization
TL;DR: In this paper, the authors developed a solid foundation for phase noise that is valid for any oscillator, regardless of operating mechanism, and established novel results about the dynamics of stable nonlinear oscillators in the presence of perturbations, both deterministic and random.
Journal ArticleDOI
Class-C Harmonic CMOS VCOs, With a General Result on Phase Noise
Andrea Mazzanti,Pietro Andreani +1 more
TL;DR: The analysis of phase noise is extended to encompass a general harmonic oscillator, showing that all phase noise relations previously obtained for specific LC oscillator topologies are special cases of a very general and remarkably simple result.
Journal ArticleDOI
A study of oscillator jitter due to supply and substrate noise
Frank Herzel,Behzad Razavi +1 more
TL;DR: In this paper, the timing jitter of single-ended and differential CMOS ring oscillators due to supply and substrate noise was investigated and the concept of frequency modulation was applied to derive relationships that express different types of jitter in terms of the sensitivity of the oscillation frequency to the supply or substrate voltage.
Journal ArticleDOI
Introduction to RF simulation and its application
TL;DR: This paper is an introduction to RF simulation methods and how they are applied to make common RF measurements.
Book ChapterDOI
Integrated GHz Voltage Controlled Oscillators
TL;DR: The voltage controlled oscillator (VCO) is a critical sub-block in communications transceivers and the performance of VCOs in different implementation styles is compared to evaluate when and if VCO integration is desirable.
References
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Journal ArticleDOI
Low-frequency fluctuations in solids: 1/f noise
Pulak Dutta,P. M. Horn +1 more
TL;DR: In this article, the authors deal with selected topics regarding the properties of simple condensed matter systems, especially metals, and find that considerable experimental and conceptual progress has been made, but specific physical processes mostly remain to be identified.
Journal ArticleDOI
1/f noise
TL;DR: In this paper, a non-stationary autocorrelation function for 1/f noise was developed to demonstrate that its present behavior is equally correlated with both the recent and distant past.
Journal ArticleDOI
Injection locking of microwave solid-state oscillators
TL;DR: Injection locking of microwave solid-state oscillators is discussed in this article, based on the familiar theorem that the total impedance times the current is equal to the applied voltage, based on which the locking range, large-signal injection, locking stability, and AM and FM noise are analyzed.