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An effective description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by invariant probability density or via first passage times. While the first approach…

Chaotic Dynamics · Physics 2015-05-19 Justus T. C. Schwabedal , Arkady Pikovsky

Many protocols for long distance quantum communication require interferometric phase stability over long distances of optical fibers. In this paper we investigate the phase noise in long optical fibers both in laboratory environment and in…

Quantum Physics · Physics 2008-08-22 Jiří Minář , Hugues de Riedmatten , Christoph Simon , Hugo Zbinden , Nicolas Gisin

Synchronization of coupled oscillators is a paradigm for complexity in many areas of science and engineering. Any realistic network model should include noise effects. We present a description in terms of phase and amplitude deviation for…

Adaptation and Self-Organizing Systems · Physics 2019-05-09 Michele Bonnin , Fernando Corinto , Valentina Lanza

We present the results of bicoherence analysis on observations of GRS 1915+105 that exhibit quasi-periodic oscillations (QPOs). The bicoherence is a higher order statistic that can be used to probe the relation between the phases of a…

High Energy Astrophysical Phenomena · Physics 2022-06-08 K. Arur , T. J. Maccarone

Reasonable vibration reduction design is an important way to achieve low phase noise index of airborne frequency source output signal. Aiming at the problem of phase noise deterioration of an airborne frequency source under random…

Systems and Control · Electrical Eng. & Systems 2024-07-17 Liwei Yin , Yongjiang Shu , Heng Zhang , Yuefei Dai , Xiaopeng Lu , Yunlong Lian , Zhonghua Wang , Yong Ding

The phase noise and frequency stability measurements of 1 GHz, 100 MHz, and 10 MHz signals are presented which have been synthesized from microwave cryogenic sapphire oscillators using ultra-low-vibration pulse-tube cryocooler technology.…

Instrumentation and Detectors · Physics 2013-02-05 John G. Hartnett , Stephen R. Parker , Eugene N. Ivanov , Travis Povey , Nitin R. Nand , Jean-Michel le Floch

We investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

Adaptation and Self-Organizing Systems · Physics 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear resonating elements that are driven parametrically by the…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Eyal Kenig , M. C. Cross , Ron Lifshitz , R. B. Karabalin , L. G. Villanueva , M. H. Matheny , M. L. Roukes

The distribution of ultra-narrow linewidth laser radiation is an integral part of many challenging metrological applications. Changes in the optical pathlength induced by environmental disturbances compromise the stability and accuracy of…

Instrumentation and Detectors · Physics 2018-07-31 Benjamin Rauf , Maria Carmen Velez Lopez , Pierre Thoumany , Marco Pizzocaro , Davide Calonico

The optical fiber used as a microwave delay line exhibits high stability and low noise and makes accessible a long delay (>100 microseconds) in a wide bandwidth (about 40 GHz, limited by the optronic components). Hence, it finds…

In MIMO systems, the presence of phase noise is a significant factor that can degrade performance. For MIMO testbeds build from SDR devices, phase noise cannot be ignored, particular in applications that require phase synchronization. This…

Signal Processing · Electrical Eng. & Systems 2025-07-17 Carl Collmann , Bitan Banerjee , Ahmad Nimr , Gerhard Fettweis

We report on the characterization, including residual phase noise and fractional frequency instability, of fiber-coupled PPLN non-linear crystals. These components are devoted to frequency doubling 871 nm light from an extended-cavity diode…

In this letter we study the design of algorithms for estimation of phase noise (PN) with colored noise sources. A soft-input maximum a posteriori PN estimator and a modified soft-input extended Kalman smoother are proposed. The performance…

Information Theory · Computer Science 2014-07-18 M. Reza Khanzadi , Rajet Krishnan , Thomas Eriksson

We make a short review about the synchronization in coupled phase oscillator models. Next, we study the common-noise-induced synchronization among active rotators. At an intermediate noise strength, the noise-induced synchronization takes…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Hidetsugu Sakaguchi

High-stability optical frequency comparison over fiber link enables the establishment of ultrastable optical clock networks, having the potential to promote a series of applications, including metrology, geodesy, and astronomy. In this…

Optics · Physics 2022-07-13 Long Wang , Ruimin Xue , Wenhai Jiao , Liang Hu Jianping Chen , Guiling Wu

We analyze, both theoretically and experimentally, the phase noise of the radio frequency (RF) beatnote generated by optical mixing of two orthogonally polarized modes in an optically pumped dual-frequency Vertical External Cavity Surface…

Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled purely…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Mian Zhang , Shreyas Shah , Jaime Cardenas , Michal Lipson

Bilayer quantum Hall systems develop strong interlayer phase-coherence when the distance between layers is comparable to the typical distance between electrons within a layer. The phase-coherent state has until now been investigated…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Alexander V. Balatsky , Allan H. MacDonald

We study a noisy oscillator with pulse delayed feedback, theoretically and in an electronic experimental implementation. Without noise, this system has multiple stable periodic regimes. We consider two types of noise: i) phase noise acting…

Adaptation and Self-Organizing Systems · Physics 2020-08-26 Vladimir Klinshov , Dmitry Shchapin , Otti D'Huys

We present a digital algorithm for measuring the phase difference between two sinusoidal signals that combines the modified fringe-counting method with two-sample zero crossing to enable sequential signal processing. This technique can be…

Instrumentation and Detectors · Physics 2016-06-28 Wataru Kokuyama , Hideaki Nozato , Akihiro Ohta , Koichiro Hattori