Phase noise in oscillators: DAEs and colored noise sources

@article{Demir1998PhaseNI,
  title={Phase noise in oscillators: DAEs and colored noise sources},
  author={Alper Demir},
  journal={1998 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (IEEE Cat. No.98CB36287)},
  year={1998},
  pages={170-177}
}
  • A. Demir
  • Published 1 November 1998
  • Physics
  • 1998 IEEE/ACM International Conference on Computer-Aided Design. Digest of Technical Papers (IEEE Cat. No.98CB36287)
Oscillators are key components of electronic systems. Undesired perturbations, i.e. noise, in practical electronic systems adversely affect the spectral and timing properties of oscillators resulting in phase noise, which is a key performance limiting factor, being a major contributor to bit-error-rate (BER) of RF communication systems, and creating synchronization problems in clocked and sampled data systems. We first present a theory and numerical methods for nonlinear perturbation and noise… 

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References

SHOWING 1-10 OF 13 REFERENCES
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.
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.
Efficient Steady-State Analysis Based on Matrix-Free Krylov-Subspace Methods
TLDR
A matrix-free Krylov-subspace approach is presented, and the method is shown to reduce shooting-Newton computational complexity to that of ordinary transient analysis.
On linear differential-algebraic equations and linearizations
An introduction to statistical communication theory
TLDR
This online pronouncement an introduction to statistical communication theory can be one of the options to accompany you as soon as having extra time.
Analysis and Design of Analog Integrated Circuits
The Fifth Edition of this academically rigorous text provides a comprehensive treatment of analog integrated circuit analysis and design starting from the basics and through current industrial
How Floquet-theory applies to differential-algebraic equations
Local stability of periodic solutions is established by means of a correspond ing Floquet theory for index di erential algebraic equations For this linear di erential algebraic equations with
Periodic Motions
...
...