Phase noise and timing jitter in oscillators

@article{Demir1998PhaseNA,
  title={Phase noise and timing jitter in oscillators},
  author={Alper Demir and Amit Mehrotra and Jaijeet S. Roychowdhury},
  journal={Proceedings of the IEEE 1998 Custom Integrated Circuits Conference (Cat. No.98CH36143)},
  year={1998},
  pages={45-48}
}
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 still remain significant gaps, both in its fundamental theory and in numerical techniques for its characterisation. We present a rigorous nonlinear analysis for phase noise in oscillators and reach the following conclusions: the power spectrum of an oscillator does not blow up at the carrier… 

Figures from this paper

Model of flicker noise effects on phase noise in oscillators
Phase noise models that describe the near-carrier spectrum in an accurate but insightful way are needed, to better optimize the oscillator design. In this paper we present a model to describe the
How Low Can They Go?: Oscillator Phase Noise Model, Theoretical, Experimental Validation, and Phase Noise Measurements
Noise is associated with all the components of the oscillator circuit; however, the major contribution of the noise in an oscillator is from the active device, which introduces amplitude modulation
Phase noise of electrical oscillators due to multi-Lorentzian noise sources based on the LTV model
Using the general expression of the phase variance expressed by the linear time variant (LTV) phase noise model, phase variances due to multi-Lorentzian and white noise sources of electrical
An Experimental Method to Extract the Phase-Sensitivity of Oscillators to Noise Perturbations
  • P. Maffezzoni
  • Physics, Engineering
    IEEE Transactions on Circuits and Systems I: Regular Papers
  • 2012
TLDR
The proposed method relies on measuring the width of the locking ranges over which the oscillator's response synchronizes with injected small-amplitude signals and can be employed to accurately predict how inner noise sources are transferred to output phase-noise and jitter.
A study of interference in synchronous systems
TLDR
The new approach based on the linear time-variant model in oscillatory systems lends new insight into interference and coupling phenomena in synchronous systems and implies that the inherent phase error caused by thermal noise can lead to a large amount of jitter by interference even in the absence of external noise.
VCO phase noise trade-offs in PLL design for DVB-T/H receivers
TLDR
For obtaining an optimal voltage-controlled oscillator (VCO) in a PLL loop for DVB-T/H receivers, a phase noise trade-off for the VCO thermal and flicker noise contributions is derived.
Phase-Noise Reduction in Oscillators via Small-Signal Injection
This paper provides an original investigation around the phenomenon of phase-noise reduction in oscillators due to small-signal injection. The analysis employs phase-domain macromodeling techniques
Time domain phase noise synthesis for system simulation
TLDR
A scheme that generates phase noise in the time domain with a simple white noise input and is parameterized by quantities whose value can be adjusted to reflect the desired phase noise parameters is proposed.
Oscillator Noise: A Nonlinear Perturbative Theory Including Orbital Fluctuations and Phase-Orbital Correlation
We derive a full statistical characterization of the noise spectrum of a free running oscillator perturbed by white Gaussian noise sources, including the effect of orbital fluctuations and of their
Frequency-Shift Induced by Colored Noise in Nonlinear Oscillators
  • P. Maffezzoni
  • Physics
    IEEE Transactions on Circuits and Systems II: Express Briefs
  • 2007
TLDR
It is shown that colored-noise with frequency decaying spectrum tends to induce a frequency-shift phenomenon both in almost-linear oscillators and in nonlinear topologies such as ring oscillators.
...
...

References

SHOWING 1-10 OF 14 REFERENCES
Characterizing filtered light waves corrupted by phase noise
TLDR
The authors show, for example, how to generate probability density functions of the magnitude of a filtered laser tone and how to analytically represent the characteristic function of the PDF in closed form in the small-phase-noise realm.
Analysis of timing jitter in CMOS ring oscillators
in this paper the effects of thermal noise in transistors on timing jitter in CMOS ring-oscillators composed of source-coupled differential resistively-loaded delay cells is investigated. The
Jitter in ring oscillators
  • J. McNeill
  • Physics
    Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94
  • 1994
TLDR
A theoretical framework for analyzing and predicting jitter in ring oscillators is described, considering each delay stage to add a uniform amount of phase in a varying an amount of time.
A time-domain method for numerical noise analysis of oscillators
  • M. Okumura, H. Tanimoto
  • Physics, Engineering
    Proceedings of ASP-DAC '97: Asia and South Pacific Design Automation Conference
  • 1997
TLDR
A numerical noise analysis method for oscillators is proposed that can be applied to strongly nonlinear circuits and thermal noise, shot noise and flicker noise are considered as noise sources.
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.
Spectral Dispersion of Modulated Signals Due to Oscillator Phase Instability: White and Random Walk Phase Model
TLDR
A phase covariance matrix method is developed for determining the autocorrelation function and the power spectral density of the oscillator sinusoidal RF signal when corrupted by a superposition of a whitephase random process and a random walk phase random process.
Noise analysis of a class of oscillators
This paper presents noise analysis of a class of oscillators, which can be modeled by a positive feedback system with a frequency-selective Mth-order filter, an ideal comparator, and a white noise
Harmonic-balance optimization of microwave oscillators for electrical performance, steady-state stability, and near-carrier phase noise
The numerical optimization of microwave oscillators including specifications on steady-state stability and near-carrier phase noise is demonstrated for the first time. The approach relies on the
Noise in relaxation oscillators
The timing jitter in relaxation oscillators is analyzed. This jitter is described by a single normalized equation whose solution allows prediction of noise in practical oscillators. The theory is
Noise in Synchronized Oscillators
Noise in synchronized oscillators is analyzed using a simple oscillator model. It is shown that the FM noise can be considerably improved by synchronization while the AM noise degrades slightly. It
...
...