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We explore analytically the oscillation quenching phenomena (amplitude death and oscillation death) in a coupled third order phase locked loop (PLL) both in periodic and chaotic mode. The phase locked loops are coupled through mean field…

Chaotic Dynamics · Physics 2016-11-15 S Chakraborty , M Dandapathak , B C Sarkar

In coherent optical communication systems the laser phase noise is commonly modeled as a Wiener process. We propose a sliding-window based linearization of the phase noise, enabling a novel description. We show that, by stochastically…

Signal Processing · Electrical Eng. & Systems 2025-03-18 Sebastian Jung , Tim Janz , Vahid Aref , Stephan ten Brink

This paper investigates the effect of oscillator phase noise on a multiuser millimeter wave (mmWave) massive MIMO uplink as we scale up the number of base station antennas, fixing the load factor, defined as the ratio of the number of…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Maryam Eslami Rasekh , Mohammed Abdelghany , Upamanyu Madhow , Mark Rodwell

We give a broad generalisation of the mapping, originally due to Dennis, Kitaev, Landahl and Preskill, from quantum error correcting codes to statistical mechanical models. We show how the mapping can be extended to arbitrary stabiliser or…

Quantum Physics · Physics 2021-06-03 Christopher T. Chubb , Steven T. Flammia

Very small electromechanical coupling coefficient in micro-electromechanical systems (MEMS) or acoustic resonators is quite of a concern for oscillator performance, specially at mmWave frequencies. This small coefficient is the…

Signal Processing · Electrical Eng. & Systems 2020-05-15 Abhishek Srivastava , Baibhab Chatterjee , Udit Rawat , Yanbo He , Dana Weinstein , Shreyas Sen

Timely recognition of voltage instability is crucial to allow for effective control and protection interventions. Phasor measurements units (PMUs) can be utilized to provide high sampling rate time-synchronized voltage and current phasors…

Systems and Control · Computer Science 2013-08-05 R. Leelaruji , L. Vanfretti , J. O. Gjerde , S. Lovlund

The phase response curve (PRC) is an important measure representing the interaction between oscillatory elements. To understand synchrony in biological systems, many research groups have sought to measure PRCs directly from biological cells…

Quantitative Methods · Quantitative Biology 2015-08-03 Kazuhiko Morinaga , Ryota Miyata , Toru Aonishi

This paper proposes a novel approach to phase-noise compensation. The basic idea is to approximate the phase-noise statistics by a finite number of realizations, i.e., a phase-noise codebook. The receiver then uses an augmented received…

Information Theory · Computer Science 2016-11-17 Senay Negusse , Per Zetterberg , Peter Händel

Accurate knowledge of transmission line (TL) impedance parameters helps to improve accuracy in relay settings and power flow modeling. To improve TL parameter estimates, various algorithms have been proposed in the past to identify TL…

Systems and Control · Computer Science 2017-06-20 Di Shi , Daniel J. Tylavsky , Kristian M. Koellner , Naim Logic , David E. Wheeler

The problem of estimating an unknown phase $ \varphi $ using two-level probes in the presence of unital phase-covariant noise and using finite resources is investigated. We introduce a simple model in which the phase-imprinting operation on…

Quantum Physics · Physics 2016-10-05 Rosanna Nichols , Thomas R. Bromley , Luis A. Correa , Gerardo Adesso

Given a linear system in a real or complex domain, linear regression aims to recover the model parameters from a set of observations. Recent studies in compressive sensing have successfully shown that under certain conditions, a linear…

Statistics Theory · Mathematics 2016-11-15 Henrik Ohlsson , Allen Y. Yang , Roy Dong , S. Shankar Sastry

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

The problem of imbalance detection in a three-phase power system using a phasor measurement unit (PMU) is considered. A general model for the zero, positive, and negative sequences from a PMU measurement at off-nominal frequencies is…

Applications · Statistics 2016-11-18 Tirza Routtenberg , Yao Xie , Rebecca M. Willett , Lang Tong

A number of popular measures of dependence between pairs of band-limited signals rely on analytic phase. A common misconception is that the dependence revealed by these measures must be specific to the spectral range of the filtered input…

Neurons and Cognition · Quantitative Biology 2018-03-26 Christopher K. Kovach

The combination of the effects of Doppler frequency shifts (due to mobility) and phase noise (due to the imperfections of oscillators operating at a high carrier frequency) poses serious challenges to Orthogonal Frequency Division…

Information Theory · Computer Science 2022-11-29 Francesco Linsalata , Nassar Ksairi

Oscillator phase noise has been shown to be one of the main performance limiting factors in full-duplex systems. In this paper, we consider the problem of self-interference cancellation with phase noise suppression in full-duplex systems.…

Information Theory · Computer Science 2014-11-07 Elsayed Ahmed , Ahmed M. Eltawil

High-quality frequency references are the cornerstones in position, navigation and timing applications of both scientific and commercial domains. Optomechanical oscillators, with direct coupling to continuous-wave light and…

Noise is an important factor that influences the reliability of information acquisition, transmission, processing, and storage. In order to suppress the inevitable noise effects, a fault-tolerant information processing approach via quantum…

Quantum Physics · Physics 2026-03-27 Qi Song , Hongjing Li , Chengxi Yu , Jingzheng Huang , Ding Wang , Peng Huang , Guihua Zeng

In the linear minimum mean square error (LMMSE) estimation for orthogonal frequency division multiplexing (OFDM) systems, the problem about the determination of the algorithm's parameters, especially those related with channel frequency…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Kai Mei , Jun Liu , Xiaoran Liu , Jun Xiong , Xiaoying Zhang , Jibo Wei

Recent studies indicate that the noise characteristics of phasor measurement units (PMUs) can be more accurately described by non-Gaussian distributions. Consequently, estimation techniques based on Gaussian noise assumptions may produce…

Signal Processing · Electrical Eng. & Systems 2024-04-26 Anushka Sharma , Antos Cheeramban Varghese , Anamitra Pal