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For the purpose of phase space reconstruction from nonlinear time series, delay selection is one of the most vital criteria. This is normally done by using a general measure viz., mutual information (MI). However, in that case, the delay…

Chaotic Dynamics · Physics 2014-09-23 Sanjay Kumar Palit , Sayan Mukherjee , D. K. Bhattacharya

In wireless networks, an essential step for precise range-based localization is the high-resolution estimation of multipath channel delays. The resolution of traditional delay estimation algorithms is inversely proportional to the bandwidth…

Signal Processing · Electrical Eng. & Systems 2021-11-23 Tarik Kazaz , Gerard J. M. Janssen , Jac Romme , Alle-Jan Van der Veen

Ramsey interferometry is a widely used tool for precisely measuring transition frequencies between two energy levels of a quantum system, with applications in time-keeping, precision spectroscopy, quantum optics, and quantum information.…

Quantum Physics · Physics 2023-02-21 H. Hainzer , D. Kiesenhofer , T. Ollikainen , M. Bock , F. Kranzl , M. K. Joshi , G. Yoeli , R. Blatt , T. Gefen , C. F. Roos

We present a method for time series analysis of both, scalar and nonscalar time-delay systems. If the dynamics of the system investigated is governed by a time-delay induced instability, the method allows to determine the delay time. In a…

chao-dyn · Physics 2009-10-31 M. J. Bünner , Th. Meyer , A. Kittel , J. Parisi

Leveraging channel state information from multiple Wi-Fi bands can improve delay resolution for ranging and sensing when a wide contiguous spectrum is unavailable. However, frequency gaps shape the delay response, introducing sidelobes and…

Signal Processing · Electrical Eng. & Systems 2026-02-23 Ana Jeknić , Aleš Švigelj , Tomaž Javornik , Andrej Hrovat

We introduce a new strategy for coupling the parallel in time (parareal) iterative methodology with multiscale integrators. Following the parareal framework, the algorithm computes a low-cost approximation of all slow variables in the…

Numerical Analysis · Mathematics 2015-11-19 Gil Ariel , Seong Jun Kim , Richard Tsai

An emerging way to deal with high-dimensional non-euclidean data is to assume that the underlying structure can be captured by a graph. Recently, ideas have begun to emerge related to the analysis of time-varying graph signals. This work…

Machine Learning · Computer Science 2017-05-08 Francesco Grassi , Andreas Loukas , Nathanaël Perraudin , Benjamin Ricaud

This paper considers a cross-layer optimization problem driven by multi-timescale stochastic exogenous processes in wireless communication networks. Due to the hierarchical information structure in a wireless network, a mixed timescale…

Systems and Control · Computer Science 2013-05-02 Junting Chen , Vincent K. N. Lau

Many commercial and defense applications involve multisensor, multitarget tracking, requiring the fusion of information from a set of sensors. An interesting use case occurs when data available at a central node (due to geometric diversity…

Signal Processing · Electrical Eng. & Systems 2024-10-04 Zachary Chance

When the scale of communication networks has been growing rapidly in the past decades, it becomes a critical challenge to extract fast and accurate estimation of key state parameters of network links, e.g., transmission delays and dropped…

Networking and Internet Architecture · Computer Science 2018-12-04 Hao-Ting Wei , Sung-Hsien Hsieh , Wen-Liang Hwang , Chung-Shou Liao , Chun-Shien Lu

Automatic event detection from time series signals has wide applications, such as abnormal event detection in video surveillance and event detection in geophysical data. Traditional detection methods detect events primarily by the use of…

Machine Learning · Computer Science 2018-09-26 Yue Wu , Youzuo Lin , Zheng Zhou , David Chas Bolton , Ji Liu , Paul Johnson

Earthquake hypocenters form the basis for a wide array of seismological analyses. Pick-based earthquake location workflows rely on the accuracy of phase pickers and may be biased when dealing with complex earthquake sequences in…

The timing analysis of transient events allows for investigating numerous still open areas of modern astrophysics. The article explores all the mathematical and physical tools required to estimate delays and associated errors between two…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 W. Leone , L. Burderi , T. di Salvo , A. Anitra , A. Sanna , A. Riggio , R. Iaria , F. Fiore , F. Longo , M. Ďurišková , A. Tsvetkova , C. Maraventano , C. Miceli

The study and application of signal detection techniques based on cross-correlation method for acoustic transient signals in noisy and reverberant environments are presented. These techniques are shown to provide high signal to noise ratio,…

Instrumentation and Detectors · Physics 2015-02-19 S. Adrián-Martínez , M. Ardid , M. Bou-Cabo , I. Felis , C. Llorens , J. A. Martínez-Mora , M. Saldaña

The focus of this paper is the estimation of a delay between two signals. Such a problem is common in signal processing and particularly challenging when the delay is non-stationary in nature. Our proposed solution is based on an all-pass…

Signal Processing · Electrical Eng. & Systems 2021-06-17 Beth Jelfs , Shuai Sun , Kamran Ghorbani , Christopher Gilliam

A correlation optical time-domain reflectometry (COTDR) method is presented, which measures the propagation delay with an accuracy of a few picoseconds. This accuracy is achieved using a test signal data rate of 10 Gbit/s and employing…

Optics · Physics 2022-02-24 Florian Azendorf , Annika Dochhan , Michael H. Eiselt

Integrated localization and communication systems aim to reuse communication waveforms for simultaneous data transmission and localization, but delay resolution is fundamentally limited by the available bandwidth. In practice, large…

Signal Processing · Electrical Eng. & Systems 2026-01-27 Jialun Kou , Achiel Colpaert , Zhuangzhuang Cui , Sofie Pollin

Precise measurements in optical and atomic systems often rely on differential interferometry. This method allows to handle large and correlated phase noise contributions -- such as environmental vibrations, thermal fluctuations, or…

Quantum Physics · Physics 2025-03-25 Luca Pezzè , Andrea Santoni , Chiara Mazzinghi , Marco Fattori , Augusto Smerzi

In this paper, we study a simple correlation-based strategy for estimating the unknown delay and amplitude of a signal based on a small number of noisy, randomly chosen frequency-domain samples. We model the output of this "compressive…

Information Theory · Computer Science 2016-11-17 Armin Eftekhari , Justin Romberg , Michael B. Wakin

This paper is a comprehensive study of a long observed phenomenon of increase in the stability margin and so the rate of convergence of a class of linear systems due to time delay. We use Lambert W function to determine (a) in what systems…

Multiagent Systems · Computer Science 2019-07-23 Hossein Moradian , Solmaz S. Kia