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Peaks signify important events in a signal. In a pair of signals how peaks are occurring with mutual correspondence may offer us significant insights into the mutual interdependence between the two signals based on important events. In this…

Methodology · Statistics 2015-01-15 Rahul Biswas , Koulik Khamaru , Kaushik Majumdar

Defining and measuring phase synchronization in a pair of nonlinear time series are highly nontrivial. This can be done with the help of Fourier transform, when it exists, for a pair of stored (hence stationary) signals. In a time series…

Chaotic Dynamics · Physics 2007-05-23 Kaushik Majumdar

We study the synchronization between left and right hemisphere rat EEG channels by using various synchronization measures, namely non-linear interdependences, phase-synchronizations, mutual information, cross-correlation and the coherence…

Chaotic Dynamics · Physics 2016-09-08 R. Quian Quiroga , A. Kraskov , T. Kreuz , P. Grassberger

Epilepsy is a neurological disorder arising from anomalies of the electrical activity in the brain, affecting about 0.5--0.8\% of the world population. Several studies investigated the relationship between seizures and brainwave…

Machine Learning · Computer Science 2018-01-25 Paolo Detti , Garazi Zabalo Manrique de Lara , Renato Bruni , Marco Pranzo , Francesco Sarnari

Synchronization is a fundamental component of computational models of human behavior, at both intra-personal and inter-personal level. Event synchronization analysis was originally conceived with the aim of providing a simple and robust…

Human-Computer Interaction · Computer Science 2019-04-09 Paolo Alborno , Gualtiero Volpe , Maurizio Mancini , Radoslaw Niewiadomski , Stefano Piana , Antonio Camurri

Event cameras are a novel type of sensor designed for capturing the dynamic changes of a scene. Due to factors such as trigger and transmission delays, a time offset exists in the data collected by multiple event cameras, leading to…

Robotics · Computer Science 2025-07-08 Wenxuan Li , Yan Dong , Shaoqiang Qiu , Bin Han

Quantifying synchronization phenomena based on the timing of events has recently attracted a great deal of interest in various disciplines such as neuroscience or climatology. A multitude of similarity measures has been proposed for this…

Data Analysis, Statistics and Probability · Physics 2026-02-24 Adrian Odenweller , Reik V. Donner

We devised a measure based on the distributions of relative event timings of two coupled units. The measure dynamically evaluates temporal interdependencies between the two coupled units. Using this we show that even in the event of…

Chaotic Dynamics · Physics 2007-05-23 Michal Zochowski , Rhonda Dzakpasu

Recently, the SPIKE-distance has been proposed as a parameter-free and time-scale independent measure of spike train synchrony. This measure is time-resolved since it relies on instantaneous estimates of spike train dissimilarity. However,…

Data Analysis, Statistics and Probability · Physics 2012-12-11 Thomas Kreuz , Daniel Chicharro , Conor Houghton , Ralph G Andrzejak , Florian Mormann

Using coherence analysis (which is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) we estimate the time delay between two signals. This method is suitable for time delay…

Data Analysis, Statistics and Probability · Physics 2009-11-10 R. B. Govindan , J. Raethjen , F. Kopper , J. C. Claussen , G. Deuschl

We introduce Ordinal Synchronization ($OS$) as a new measure to quantify synchronization between dynamical systems. $OS$ is calculated from the extraction of the ordinal patterns related to two time series, their transformation into…

Quantitative Methods · Quantitative Biology 2019-01-30 Ignacio Echegoyen , Victor Vera-Ávila , Ricardo Sevilla-Escoboza , Johann H. Martínez , Javier M. Buldú

Electroencephalography (EEG) during sleep is used by clinicians to evaluate various neurological disorders. In sleep medicine, it is relevant to detect macro-events (> 10s) such as sleep stages, and micro-events (<2s) such as spindles and…

Signal Processing · Electrical Eng. & Systems 2018-07-17 Stanislas Chambon , Valentin Thorey , Pierrick J. Arnal , Emmanuel Mignot , Alexandre Gramfort

In this paper, we have developed a new measure of understanding the temporal evolution of phase synchronization for EEG signals using cross-electrode information. From this measure it is found that there exists a small number of…

Medical Physics · Physics 2016-12-04 Wasifa Jamal , Saptarshi Das , Koushik Maharatna

Objective. We identify two linked problems related to estimating the phase of the alpha rhythm when the signal after a specific event is unknown (real-time case), or corrupted (offline analysis). We propose methods to estimate the phase…

Quantitative Methods · Quantitative Biology 2020-04-07 J. R. McIntosh , P. Sajda

In this paper phase of a signal has been viewed from a different angle. According to this view a signal can have countably infinitely many phases, one associated with each Fourier component. In other words each frequency has a phase…

Neurons and Cognition · Quantitative Biology 2008-04-25 Kaushik Majumdar

In event-based sensing, many sensors independently and asynchronously emit events when there is a change in their input. Event-based sensing can present significant improvements in power efficiency when compared to traditional sampling,…

Image and Video Processing · Electrical Eng. & Systems 2022-01-19 Karen Adam , Adam Scholefield , Martin Vetterli

We present a measure for characterizing statistical relationships between two time sequences. In contrast to commonly used measures like cross-correlations, coherence and mutual information, the proposed measure is non-symmetric and…

chao-dyn · Physics 2009-10-31 J. Arnhold , P. Grassberger , K. Lehnertz , C. E. Elger

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

Time delay estimation or Time-Difference-Of-Arrival estimates is a critical component for multiple localization applications such as multilateration, direction of arrival, and self-calibration. The task is to estimate the time difference…

Sound · Computer Science 2024-11-21 Erik Tegler , Magnus Oskarsson , Kalle Åström

Correlation coefficient is usually used to measure the correlation degree between two time signals. However, its performance will drop or even fail if the signals are noised. Based on the time-frequency phase spectrum (TFPS) provided by…

Signal Processing · Electrical Eng. & Systems 2020-05-07 Zhen Sun , Guocheng Wang , Xiaoqing Su , Xinghui Liang , Lintao Liu
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