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Phase noise in oscillators: a unifying theory and numerical methods for characterization
Phase noise is a topic of theoretical and practical interest in electronic circuits, as well as in other fields, such as optics. Although progress has been made in understanding the phenomenon, there
Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems
TLDR
Noise in Free Running Oscillators: Behavioral Modeling and Simulation of Phase-Locked Loops, and Conclusions and Future Work.
Floquet theory and non‐linear perturbation analysis for oscillators with differential‐algebraic equations
  • A. Demir
  • Mathematics
    Int. J. Circuit Theory Appl.
  • 1 March 2000
Oscillators are key components of electronic systems. In RF communication systems, they are used for frequency translation of information signals and for channel selection, and in digital electronic
Phase noise in oscillators: a unifying theory and numerical methods for characterisation
TLDR
This paper develops a solid foundation for phase noise that is valid for any oscillator, regardless of operating mechanism, and obtains an exact, nonlinear equation for phase error, which leads to a precise characterisation of timing jitter and spectral dispersion.
A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodeling applications
The main effort in oscillator phase noise calculation and macromodeling lies in computing a vector function called the perturbation projection vector (PPV). Current techniques for PPV calculation use
Phase noise and timing jitter in oscillators with colored-noise sources
Phase noise or timing jitter in oscillators is of major concern in wireless and optical communications, being a major contributor to the bit-error rate of communication systems, and creating
Computing Timing Jitter From Phase Noise Spectra for Oscillators and Phase-Locked Loops With White and$1/f$Noise
  • A. Demir
  • Physics
    IEEE Transactions on Circuits and Systems I…
  • 18 September 2006
TLDR
A unified analysis of the relationships between time-domain jitter and various spectral characterizations of phase noise is presented and practical results on computing jitter from spectral phase noise characteristics for oscillators and PLLs with both white (thermal, shot) and 1/f noise are presented.
Time-domain Non-monte Carlo Noise Simulation For Nonlinear Dynamic Circuits With Arbitrary Excitations
TLDR
Any nonlinear dynamic circuit with any kind of excitation can be simulated by the noise simulator in time-domain to produce the noise variances and covariances of circuit variables as a function of time, provided that noise models for the devices in the circuit are available.
Phase noise and timing jitter in oscillators
Phase noise is a topic of theoretical and practical interest in electronic circuits, as well as in other fields such as optics. Although progress has been made in understanding the phenomenon, there
Phase noise in oscillators: DAEs and colored noise sources
  • A. Demir
  • Physics
    IEEE/ACM International Conference on Computer…
  • 1 November 1998
TLDR
A theory and numerical methods for nonlinear perturbation and noise analysis of oscillators described by a system of differential algebraic equations (DAEs), which extends the recent results on perturbations analysis of autonomous ordinary differential equations (ODEs).
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