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We study the computational phase transition in a multi-frequency group synchronization problem, where pairwise relative measurements of group elements are observed across multiple frequency channels and corrupted by Gaussian noise. Using…

Statistics Theory · Mathematics 2026-01-29 Zhangsong Li

We describe a novel scheme of detecting rotational anisotropy second harmonic generation (RA-SHG) signals using a lock-in amplifier referenced to a fast scanning RA-SHG apparatus. The method directly measures the $n^{th}$ harmonics of the…

Optics · Physics 2018-12-26 Baozhu Lu , Darius H. Torchinsky

The diffusion of nonlinear loads and power electronic devices in power systems deteriorates the signal environment and increases the difficulty of measuring harmonic phasors. Considering accurate harmonic phasor information is necessary to…

Signal Processing · Electrical Eng. & Systems 2022-11-17 Dongfang Zhao , Shisong Li , Fuping Wang , Wei Zhao , Songling Huang , Qing Wang

We present a physical scheme for implementing quantum phase estimation via weakly coupled double quantum-dot molecules embedded in a microcavity. During the same process of implementation, we can also realize the calibration of a timepiece…

Quantum Physics · Physics 2015-05-13 Ping Dong , Zhuo-Liang Cao

This paper presents joint sampling frequency offset (SFO) estimation and compensation algorithms based on the Farrow structure. Unlike conventional approaches that treat estimation and compensation separately, the proposed framework…

Signal Processing · Electrical Eng. & Systems 2026-03-03 Deijany Rodriguez Linares , Oksana Moryakova , Håkan Johansson

Bringing efficient second-order nonlinear effects in integrated photonics is an important task motivated by the prospect of enabling all possible optical functionalities on chip. Such task has proved particularly challenging in silicon…

Optics · Physics 2022-02-23 Edgars Nitiss , Jianqi Hu , Anton Stroganov , Camille-Sophie Brès

Recent advances in Bayesian learning with large-scale data have witnessed emergence of stochastic gradient MCMC algorithms (SG-MCMC), such as stochastic gradient Langevin dynamics (SGLD), stochastic gradient Hamiltonian MCMC (SGHMC), and…

Machine Learning · Statistics 2016-10-24 Changyou Chen , Nan Ding , Lawrence Carin

Large galaxy surveys demand fast and scalable estimators for anisotropic clustering statistics beyond the monopole. We present a suite of efficient FFT-based estimators for power-spectrum and bispectrum multipoles, built upon exact…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Yunchen Xie , Ruiyang Zhao , Gan Gu , Xiaoma Wang , Xiaoyong Mu , Yuting Wang , Gong-Bo Zhao , Florian Beutler , John A. Peacock

In [1] a new adaptive phase-locked loop scheme for synchronization of a grid connected voltage source converter with guaranteed (almost) global stability properties was reported. To guarantee a suitable synchronization with the angle of the…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Wei He , Jiachen Yan , Romeo Ortega , Daniele Zonetti

High-contrast imaging instruments are now being equipped with integral field spectrographs (IFS) to facilitate the detection and characterization of faint substellar companions. Algorithms currently envisioned to handle IFS data, such as…

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

Multivariate singular spectrum analysis (M-SSA), with a varimax rotation of eigenvectors, was recently proposed to provide detailed information about phase synchronization in networks of nonlinear oscillators without any a priori need for…

Chaotic Dynamics · Physics 2019-05-06 Leonardo L. Portes , Luis A. Aguirre

A new simulation technique to obtain the synchronized steady-state solutions existing in coupled oscillator systems is presented. The technique departs from a semi-analytical formulation presented in previous works. It extends the model of…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Pedro Umpierrez , Victor Arana , Sergio Sancho

The large beamforming gain used to operate at millimeter wave (mmWave) frequencies requires obtaining channel information to configure hybrid antenna arrays. Previously proposed wideband channel estimation strategies, however, assume…

Signal Processing · Electrical Eng. & Systems 2019-06-06 Javier Rodriguez-Fernandez , Nuria Gonzalez-Prelcic

Multi-phase injection-locked ring oscillators (MP-ILROs) are widely used for multi-phase clock generation, with their phase accuracy primarily determined by the inherent accuracy of the oscillator itself, due to the suppression of input…

Signal Processing · Electrical Eng. & Systems 2025-01-06 Zhaowen Wang

In this paper, we propose and evaluate two novel double-sequence low-resolution frequency synchronization methods in millimeter-wave (mmWave) systems. In our system model, the base station uses analog beams to send the synchronization…

Signal Processing · Electrical Eng. & Systems 2018-12-11 Dalin Zhu , Ralf Bendlin , Salam Akoum , Arunabha Ghosh , Robert W. Heath

Digital signal processing (DSP) is supporting novel in-field applications of optical interferometry, such as in laser ranging and distributed acoustic sensing. While the highest performances are achieved with field-programmable gated arrays…

Signal Processing · Electrical Eng. & Systems 2023-08-08 Simone Donadello , Elio K. Bertacco , Davide Calonico , Cecilia Clivati

The present paper introduces a linear reformulation of the Kuramoto model describing a self-synchronizing phase transition in a system of globally coupled oscillators that in general have different characteristic frequencies. The…

Pattern Formation and Solitons · Physics 2008-03-18 David C. Roberts

In this paper, we propose a dual-hop RF (Radio-Frequency)/FSO (Free-Space Optical) system with multiple relays employing the Decode-and-Forward (DF) and Amplify-and-Forward (AF) with a Fixed Gain (FG) relaying scheme. The RF channels are…

Signal Processing · Electrical Eng. & Systems 2019-02-11 Elyes Balti , Mohsen Guizani , Bechir Hamdaoui , Bassem Khalfi

Second-harmonic generation allows for coherently bridging distant regions of the optical spectrum, with applications ranging from laser technology to self-referencing of frequency combs. However, accessing the nonlinear response of a medium…