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Wavelet decomposition is a method that has been applied to signal processing in a wide range of subjects. The decomposition isolates small scale features of a signal from large scale features, while also maintaining information about where…

High Energy Physics - Phenomenology · Physics 2014-05-21 J. W. Monk

This paper presents a machine learning method for event cause analysis to enhance situational awareness in distribution networks. The data streams are captured using time-synchronized high sampling rates synchro waveform measurement units…

Signal Processing · Electrical Eng. & Systems 2020-08-27 Iman Niazazari , Hanif Livani , Amir Ghasemkhani , Yunchuan Liu , Lei Yang

This chapter is dedicated to recent developments in the field of wavelet analysis for scattered data. We introduce the concept of samplets, which are signed measures of wavelet type and may be defined on sets of arbitrarily distributed data…

Numerical Analysis · Mathematics 2025-03-25 Helmut Harbrecht , Michael Multerer

In the present paper, details are given on the implementation of a wavelet-based analysis tailored to the processing of acoustical signals. The family of the suitable wavelets (`Reimann wavelets') are obtained in the time domain from a…

Sound · Computer Science 2015-10-01 Evangelos Matsinos

Autonomous detection of desired events from large databases using time series classification is becoming increasingly important in civil engineering as a result of continued long-term health monitoring of a large number of engineering…

Machine Learning · Computer Science 2021-01-19 Monica Arul , Ahsan Kareem

Abstract. Detecting anomalies in patterns of sensor data is important in many practical applications, including domestic activity monitoring for Active Assisted Living (AAL). How to represent and analyse these patterns, however, remains a…

Artificial Intelligence · Computer Science 2024-01-23 Manuel Fernandez-Carmona , Sariah Mghames , Nicola Bellotto

Reduced system dependability and higher maintenance costs may be the consequence of poor electric power quality, which can disturb normal equipment performance, speed up aging, and even cause outright failures. This study implements and…

Signal Processing · Electrical Eng. & Systems 2022-12-29 Rahul Kumar Dubey

Despite the broad application of the analytic wavelet transform (AWT), a systematic statistical characterization of its magnitude and phase as inhomogeneous random fields on the time-frequency domain when the input is a random process…

Statistics Theory · Mathematics 2025-12-23 Gi-Ren Liu , Yuan-Chung Sheu , Hau-Tieng Wu

Dynamics of complex systems is studied by first considering a chaotic time series generated by Lorenz equations and adding noise to it. The trend (smooth behavior) is separated from fluctuations at different scales using wavelet analysis…

Chaotic Dynamics · Physics 2009-11-11 Dilip P. Ahalpara , Jitendra C. Parikh

The event-by-event analysis of multiparticle production in high energy hadron and nuclei collisions can be performed using the discrete wavelet transformation. The ring-like and jet-like structures in two-dimensional angular histograms are…

Nuclear Experiment · Physics 2011-05-05 I. M. Dremin , G. Kh. Eyyubova , V. L. Korotkikh , L. I. Sarycheva

In this paper we present a wavelet based algorithm that is able to detect superimposed periodic signals in data with low signal-noise ratio. In this context, the results given by classical period determination methods highly depend on the…

Astrophysics · Physics 2007-05-23 X. Otazu , M. Ribo , M. Peracaula , J. M. Paredes , J. Nunez

Classification of time series signals has become an important construct and has many practical applications. With existing classifiers we may be able to accurately classify signals, however that accuracy may decline if using a reduced…

Machine Learning · Statistics 2021-09-22 Paul Grant , Md Zahidul Islam

In many places, tectonic tremor is observed in relation to slow slip and can be used as a proxy to study slow slip events of moderate magnitude where surface deformation is hidden in Global Navigation Satellite System (GNSS) noise. However,…

Geophysics · Physics 2023-01-02 Ariane Ducellier , Kenneth C. Creager , David A. Schmidt

A wavelet-like model for distributions of objects in natural and man-made terrestrial environments is developed. The model is constructed in a self-similar fashion, with the sizes, amplitudes, and numbers of objects occurring at a constant…

Data Analysis, Statistics and Probability · Physics 2013-12-20 D. Keith Wilson , Chris L. Pettit , Sergey N. Vecherin

We describe a method for analyzing the phase space structures of Hamiltonian systems. This method is based on a time-frequency decomposition of a trajectory using wavelets. The ridges of the time-frequency landscape of a trajectory, also…

Chaotic Dynamics · Physics 2009-11-07 C. Chandre , S. Wiggins , T. Uzer

A wavelet-based changepoint method is proposed that determines when the variability of the noise in a sequence of functional profiles goes out-of-control from a known, fixed value. The functional portion of the profiles are allowed to come…

Methodology · Statistics 2015-08-20 Vladimir J. Geneus , Eric Chicken , Jordan Cuevas , Joseph J. Pignatiello

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 a typical Event-Based Surveillance setting, a stream of web documents is continuously monitored for disease reporting. A structured representation of the disease reporting events is extracted from the raw text, and the events are then…

Computers and Society · Computer Science 2011-01-05 Avaré Stewar , Ricardo Lage , Ernesto Diaz-Aviles , Peter Dolog

This paper introduces a model of environmental acoustic scenes which adopts a morphological approach by ab-stracting temporal structures of acoustic scenes. To demonstrate its potential, this model is employed to evaluate the performance of…

Machine Learning · Statistics 2015-02-03 Mathieu Lagrange , Grégoire Lafay , Mathias Rossignol , Emmanouil Benetos , Axel Roebel

We present a new framework SoundDet, which is an end-to-end trainable and light-weight framework, for polyphonic moving sound event detection and localization. Prior methods typically approach this problem by preprocessing raw waveform into…

Sound · Computer Science 2021-08-24 Yuhang He , Niki Trigoni , Andrew Markham