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In passive radar, a network of distributed sensors exploit signals from so-called Illuminators-of-Opportunity to detect and localize targets. We consider the case where the IO signal is available at each receiver node through a reference…

Signal Processing · Electrical Eng. & Systems 2026-05-19 Mats Viberg , Daniele Gerosa , Tomas McKelvey , Patrik Dammert , Thomas Eriksson

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

Adaptation and Self-Organizing Systems · Physics 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

Network interactions between dynamical units are often subject to time delay. We develop a phase reduction method for delay-coupled oscillator networks. The method is based on rewriting the delay-differential equation as an ordinary…

Dynamical Systems · Mathematics 2025-11-03 Christian Bick , Bob W. Rink , Babette A. J. de Wolff

Time delay estimation arises in many applications in which a multipath medium has to be identified from pulses transmitted through the channel. Various approaches have been proposed in the literature to identify time delays introduced by…

Information Theory · Computer Science 2011-01-05 Kfir Gedalyahu , Yonina C. Eldar

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Information Theory · Computer Science 2016-11-15 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

Delay-coordinate reconstruction is a proven modeling strategy for building effective forecasts of nonlinear time series. The first step in this process is the estimation of good values for two parameters, the time delay and the embedding…

Information Theory · Computer Science 2016-03-09 Joshua Garland , Ryan G. James , Elizabeth Bradley

Vibration-based condition monitoring techniques are commonly used to detect and diagnose failures of rolling bearings. Accuracy and delay in detecting and diagnosing different types of failures are the main performance measures in condition…

Signal Processing · Electrical Eng. & Systems 2022-08-15 Sulaiman Aburakhia , Ryan Myers , Abdallah Shami

Time delays are a common perturbation in systems with many states, such as networked, distributed, or decentralized systems. Current methods analyzing the stability of large systems with time delay typically produce very conservative…

Systems and Control · Computer Science 2017-10-31 George Armanious , Rick Lind

We consider the sequential change-point detection for asynchronous multi-sensors, where each sensor observe a signal (due to change-point) at different times. We propose an asynchronous Subspace-CUSUM procedure based on jointly estimating…

Applications · Statistics 2019-01-25 Liyan Xie , Yao Xie , George V. Moustakides

This study addresses the task of performing robust and reliable time-delay estimation in signals in noisy and reverberating environments. In contrast to the popular signal processing based methods, this paper proposes to transform the input…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-03 Akshay Raina , Vipul Arora

A class of methods for measuring time delays between astronomical time series is introduced in the context of quasar reverberation mapping, which is based on measures of randomness or complexity of the data. Several distinct statistical…

Instrumentation and Methods for Astrophysics · Physics 2017-08-16 Doron Chelouche , Francisco Pozo Nuñez , Shay Zucker

Investigating the network stability or synchronization dynamics of multi-agent systems with time delays is of significant importance in numerous real-world applications. Such investigations often rely on solving the transcendental…

Dynamical Systems · Mathematics 2025-01-08 Shijie Zhou , Yang Luan , Xuzhe Qian , Wei Lin

Bi-static sensing is an attractive configuration for integrated sensing and communications (ISAC) systems; however, clock asynchronism between widely separated transmitters and receivers introduces time-varying time offsets (TO) and phase…

Signal Processing · Electrical Eng. & Systems 2025-05-16 Jingbo Zhao , Zhaoming Lu , J. Andrew Zhang , Jiaxi Zhou , Weicai Li , Tao Gu

Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can behave unexpectedly when the signal between the vertices are time delayed. It has been shown for a very…

Chaotic Dynamics · Physics 2018-06-19 Alexandre Wagemakers , Miguel A. F. Sanjuán

The time of arrival (TOA)-based localization techniques, which need to estimate the delay of the line-of-sight (LoS) path, have been widely employed in location-aware networks. To achieve a high-accuracy delay estimation, a number of…

Signal Processing · Electrical Eng. & Systems 2022-06-22 Yubo Wan , An Liu , Qiyu Hu , Mianyi Zhang , Yunlong Cai

Distributed quantum sensing leverages quantum correlations among multiple sensors to enhance the precision of parameter estimation beyond classical limits. Most existing approaches target phase estimation and rely on a shared phase…

Quantum Physics · Physics 2026-02-04 Piotr T. Grochowski , Matteo Fadel , Radim Filip

In our manuscript, we develop a new approach for stability analysis of one-dimensional wave equation with time delay. The major contribution of our work is to develop a new method for spectral analysis. We derive sufficient and necessary…

Analysis of PDEs · Mathematics 2023-07-28 Shijie Zhou , Hongyinping Feng , Zhiqiang Wang

The estimation of the correlation between time series is often hampered by the asynchronicity of the signals. Cumulating data within a time window suppresses this source of noise but weakens the statistics. We present a method to estimate…

Data Analysis, Statistics and Probability · Physics 2009-02-18 Bence Toth , Janos Kertesz

We propose a simple method to measure synchronization and time delay patterns between signals. It is based on the relative timings of events in the time series, defined e.g. as local maxima. The degree of synchronization is obtained from…

Chaotic Dynamics · Physics 2007-05-23 R. Quian Quiroga , T. Kreuz , P. Grassberger

Some optical measurements require relative timing of intensity variations with accuracy much finer than the camera frame period. One motivating example is dynamic aurora, where different prompt emissions are expected to originate from…

Space Physics · Physics 2026-05-29 Juha Vierinen , Pavithiran Sivasothy , Björn Gustavsson