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This paper deals with the phase noise affecting communication systems, where local oscillators are employed to obtain reference signals for carrier and timing synchronizations. The most common discrete-time phase noise channel model is…

Information Theory · Computer Science 2024-06-21 Amina Piemontese , Giulio Colavolpe , Thomas Eriksson

The phase description is a powerful tool for analyzing noisy limit cycle oscillators. The method, however, has found only limited applications so far, because the present theory is applicable only to the Gaussian noise while noise in the…

Statistical Mechanics · Physics 2011-04-08 Denis S. Goldobin , Jun-nosuke Teramae , Hiroya Nakao , G. Bard Ermentrout

We have developed a new methodology and a time-domain software package for the estimation of the oscillation frequency and the phase noise spectrum of non-linear noisy microwave circuits based on the direct integration of the system of…

Computational Physics · Physics 2007-05-23 C. Tannous

We exercise rapid and fine control over the phase of light by transferring digitally gen- erated phase jumps from radio frequency (rf) electrical signals onto light by means of acousto-optic interaction. By tailoring the statistics of phase…

Phase estimation is the most investigated protocol in quantum metrology, but its performance is affected by the presence of noise, also in the form of imperfect state preparation. Here we discuss how to address this scenario by using a…

We investigate the effect of time-correlated noise on the phase fluctuations of nonlinear oscillators. The analysis is based on a methodology that transforms a system subject to colored noise, modeled as an Ornstein-Uhlenbeck process, into…

Adaptation and Self-Organizing Systems · Physics 2019-05-31 Michele Bonnin , Fabio Traversa , Fabrizio Bonani

We develop a systematic theory of quantum fluctuations in the driven parametric oscillator (OPO), including the region near threshold. This allows us to treat the limits imposed by nonlinearities to quantum squeezing and noise reduction, in…

Quantum Physics · Physics 2007-05-23 S. Chaturvedi , K. Dechoum , P. D. Drummond

We demonstrate an analytical method for calculating the phase sensitivity of a class of oscillators whose phase does not affect the time evolution of the other dynamic variables. We show that such oscillators possess the possibility for…

Other Condensed Matter · Physics 2012-11-15 Eyal Kenig , M. C. Cross , L. G. Villanueva , R. B. Karabalin , M. H. Matheny , Ron Lifshitz , M. L. Roukes

We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and find that the phase equation is parametrized by the ratio between time scales of the noise correlation and amplitude relaxation of the limit…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Hiroya Nakao , G. Bard Ermentrout

We describe a very stable type II optical parametric oscillator operated above threshold which provides 9.7 $\pm$ 0.5 dB (89%) of quantum noise reduction on the intensity difference of the signal and idler modes. We also report the first…

Quantum Physics · Physics 2009-11-10 Julien Laurat , Thomas Coudreau , Laurent Longchambon , Claude Fabre

The optoelectronic fiber delay line microwave oscillator offers attractive and large potential for numerous applications in high speed fiber optics communication, space, and radar systems. Its relevant features are very low phase noise and…

Optics · Physics 2008-09-25 K. Volyanskiy , Y. K. Chembo , L. Larger , E. Rubiola

Phase-sensitive amplification of squeezed states is a technique to mitigate high detection loss, e.g. at 2-micrometre wavelengths. Our analytical model of amplified squeezed states expands on the effect of phase noise and derives two…

Cavity optomechanics is a suitable field to explore quantum effects on macroscopic objects and develop quantum technology applications. A perfect control of the laser noise is required to operate the system in such extreme conditions…

The Kuramoto model has become a paradigm to describe the dynamics of nonlinear oscillator under the influence of external perturbations, both deterministic and stochastic. It is based on the idea to describe the oscillator dynamics by a…

Adaptation and Self-Organizing Systems · Physics 2019-05-09 Michele Bonnin

Projects aiming to detect gravitational waves (GWs) in space in the millihertz range will utilize interferometers to measure the separations between free-falling test masses. The phasemeter measures the phase changes of the interference…

Instrumentation and Methods for Astrophysics · Physics 2025-02-18 Yuan-Ze Jiang , Yu-Jie Feng , Liu-Yang Chen , Bai-Fu Lu , Qi Xia , Ze-Bing Zhou , Yu-Rong Liang

Generally, wave field reconstructions obtained by phase-retrieval algorithms are noisy, blurred and corrupted by various artifacts such as irregular waves, spots, etc. These disturbances, arising due to many factors such as non-idealities…

Optics · Physics 2012-07-24 Artem Migukin , Mostafa Agour , Vladimir Katkovnik

This article explains phase noise, jitter, and some slower phenomena in digital integrated circuits, focusing on high-demanding, noise-critical applications. We introduce the concept of phase type and time type phase noise. The rules for…

Instrumentation and Detectors · Physics 2017-01-03 Claudio E. Calosso , Enrico Rubiola

We present a general framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase…

Quantum Physics · Physics 2014-08-12 Jie-Dong Yue , Yu-Ran Zhang , Heng Fan

We propose a scheme to suppress the laser phase noise without increasing the optomechanical single-photon coupling strength. In the scheme, the parametric amplification terms, created by Kerr and Duffing nonlinearities, can restrain laser…

Quantum Physics · Physics 2021-07-09 Yexiong Zeng , Biao Xiong , Chong Li

We theoretically study the frequency stability of an opto-mechanical radio frequency oscillator based on resonant interaction of two optical and one mechanical modes of the same optical microcavity. A generalized expression for the phase…

Optics · Physics 2016-12-21 A. B. Matsko , A. A. Savchenkov , L. Maleki