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We study the impact of phase noise on the downlink performance of a multi-user multiple-input multiple-output system, where the base station (BS) employs a large number of transmit antennas $M$. We consider a setup where the BS employs…

Information Theory · Computer Science 2015-01-23 R. Krishnan , M. R. Khanzadi , N. Krishnan , Y. Wu , A. Graell i Amat , T. Eriksson , R. Schober

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 study the response of an ensemble of synchronized phase oscillators to an external harmonic perturbation applied to one of the oscillators. Our main goal is to relate the propagation of the perturbation signal to the structure of the…

Statistical Mechanics · Physics 2009-11-10 D. H. Zanette

We present recent results on noise-induced transitions in a nonlinear oscillator with randomly modulated frequency. The presence of stochastic perturbations drastically alters the dynamical behaviour of the oscillator: noise can wash out a…

Chaotic Dynamics · Physics 2009-11-13 Sebastien Aumaitre , Francois Petrelis , Kirone Mallick

We present a study of a phase-separation process induced by the presence of spatially-correlated multiplicative noise. We develop a mean-field approach suitable for conserved-order-parameter systems and use it to obtain the phase diagram of…

Condensed Matter · Physics 2009-10-31 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

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

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

Phase noise (PN) is a major disturbance in MIMO systems, where the contribution of different oscillators at the transmitter and the receiver side may degrade the overall performance and offset the gains offered by MIMO techniques. This is…

Information Theory · Computer Science 2024-05-14 Alberto Tarable , Francisco J. Escribano

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

Oscillatory networks subjected to noise are broadly used to model physical and technological systems. Due to their nonlinear coupling, such networks typically have multiple stable and unstable states that a network might visit due to noise.…

Pattern Formation and Solitons · Physics 2026-01-27 Jason Hindes , Ira B. Schwartz , Melvyn Tyloo

Optomechanical oscillators (OMOs) combine the co-existing high quality factor mechanical and optical resonances in an integrated device to realize low phase noise RF oscillations. While several attempts have been demonstrated towards…

Optics · Physics 2019-04-08 Cijy Mathai , Sunil A. Bhave , Siddharth Tallur

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results…

Disordered Systems and Neural Networks · Physics 2009-10-31 Esteban Moro , Angel Sanchez

Using a stochastic nonlinear phase oscillator model, we study the effect of event-triggered feedback on the statistics of interevent intervals. Events are associated with the entering of a new cycle. The feedback is modeled by an…

Data Analysis, Statistics and Probability · Physics 2015-06-18 Justus A. Kromer , Benjamin Lindner , Lutz Schimansky-Geier

Modern neural speech enhancement models usually include various forms of phase information in their training loss terms, either explicitly or implicitly. However, these loss terms are typically designed to reduce the distortion of phase…

Sound · Computer Science 2022-02-25 Doyeon Kim , Hyewon Han , Hyeon-Kyeong Shin , Soo-Whan Chung , Hong-Goo Kang

We study the synchronization behavior of a noisy network in which each system is driven by two sources of state-dependent noise: (1) an intrinsic noise which is common among all systems and can be generated by the environment or any…

Dynamical Systems · Mathematics 2021-03-09 Zahra Aminzare , Vaibhav Srivastava

The synchronization stability of a complex network system of coupled phase oscillators is discussed. In case the network is affected by disturbances, a stochastic linearized system of the coupled phase oscillators may be used to determine…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Kaihua Xi , Zhen Wang , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen , Chenghui Zhang

Numerous biological and microscale systems exhibit synchronization in noisy environments. The theory of such noisy oscillators and their synchronization has been developed and experimentally demonstrated, but inferring the noise intensity…

Adaptation and Self-Organizing Systems · Physics 2025-01-09 Hisa-Aki Tanaka , Somei Suga , Akira Keida , Hiroya Nakao , Yutaka Jitsumatsu , István Z. Kiss

We analyze the effect of phase fluctuations in an optical communication scheme based on collective detection of sequences of binary coherent state symbols using linear optics and photon counting. When the phase noise is absent, the scheme…

The achievable rate of information transfer in optical communications is determined by the physical properties of the communication channel, such as the intrinsic channel noise. Bosonic phase-noise channels, a class of non-Gaussian…

Quantum Physics · Physics 2019-08-08 M. T. DiMario , L. Kunz , K Banaszek , F. E. Becerra

Consider a waveform channel where the transmitted signal is corrupted by Wiener phase noise and additive white Gaussian noise (AWGN). A discrete-time channel model that takes into account the effect of filtering on the phase noise is…

Information Theory · Computer Science 2013-01-30 Hassan Ghozlan , Gerhard Kramer