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The continuous wavelet transform (CWT) is very useful for processing signals with intricate and irregular structures in astrophysics and cosmology. It is crucial to propose precise and fast algorithms for the CWT. In this work, we review…

Instrumentation and Methods for Astrophysics · Physics 2024-08-28 Yun Wang , Ping He

The complex wave representation (CWR) converts unsigned 2D distance transforms into their corresponding wave functions. Here, the distance transform S(X) appears as the phase of the wave function \phi(X)---specifically,…

Machine Learning · Statistics 2013-02-06 Karthik S. Gurumoorthy , Anand Rangarajan

Detection and classification of transients in data from gravitational wave detectors are crucial for efficient searches for true astrophysical events and identification of noise sources. We present a hybrid method for classification of…

Instrumentation and Methods for Astrophysics · Physics 2017-06-07 Nikhil Mukund , Sheelu Abraham , Shivaraj Kandhasamy , Sanjit Mitra , Ninan Sajeeth Philip

We construct a Continuous Wavelet Transform (CWT) on the torus $\mathbb T^2$ following a group-theoretical approach based on the conformal group $SO(2,2)$. The Euclidean limit reproduces wavelets on the plane $\mathbb R^2$ with two…

Mathematical Physics · Physics 2014-11-04 Manuel Calixto , Julio Guerrero , Daniela Rosca

In this paper, a new earthquake location method based on the waveform inversion is proposed. As is known to all, the waveform misfit function is very sensitive to the phase shift between the synthetic waveform signal and the real waveform…

Numerical Analysis · Mathematics 2016-10-25 Hao Wu , Jing Chen , Xueyuan Huang , Dinghui Yang

A fleet of nanosatellites using precise timing synchronization provided by the Global Positioning System is a new concept for monitoring the gamma-ray sky that can achieve both all-sky coverage and good localization accuracy. We are…

We report time-of-flight measurements on electrons travelling in quantum-Hall edge states. Hot-electron wave packets are emitted one per cycle into edge states formed along a depleted sample boundary. The electron arrival time is detected…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 M. Kataoka , N. Johnson , C. Emary , P. See , J. P. Griffiths , G. A. C. Jones , I. Farrer , D. A. Ritchie , M. Pepper , T. J. B. M. Janssen

We discuss a fast cross-Wigner transform based technique for detecting gravitational wave bursts, and estimating the direction of arrival, using a network of (three) non co-located interferometric detectors. The performances of the detector…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Rocco P. Croce , Vincenzo Pierro , Fabio Postiglione , Maria Principe , Innocenzo M. Pinto

Time series decomposition into trend, seasonal structure, and residual components is a core primitive for downstream analytics such as anomaly detection, change-point detection, and forecasting. However, most existing seasonal-trend…

Fast and effective localization of gravitational wave (GW) events could play a crucial role in identifying possible electromagnetic counterparts, and thereby help usher in an era of GW multi-messenger astronomy. We discuss an algorithm for…

Instrumentation and Methods for Astrophysics · Physics 2018-11-08 Hsin-Yu Chen , Daniel E. Holz

We present a new detection algorithm based on the wavelet transform for the analysis of high energy astronomical images. The wavelet transform, due to its multi-scale structure, is suited for the optimal detection of point-like as well as…

This paper presents fault detection and classification using Wavelet and ANN based methods in a DFIG-based series compensated system. The state-of-the art methods include Wavelet transform, Fourier transform, and Wavelet-neuro fuzzy…

Systems and Control · Electrical Eng. & Systems 2023-08-21 Satya Vikram Pratap Singh , Tanu Prasad , Siddharth Kamila , Prashant Agnihotri

The Continuous Boostlet Transform (CBT) is introduced as a powerful tool for analyzing spatiotemporal signals, particularly acoustic wavefields. Overcoming the limitations of classical wavelets, the CBT leverages the Poincar\'e group and…

Signal Processing · Electrical Eng. & Systems 2025-11-04 Owais Ahmad , Jasifa Fayaz

Wavelet Transforms are a widely used technique for decomposing a signal into coefficient vectors that correspond to distinct frequency/scale bands while retaining time localization. This property enables an adaptive analysis of signals at…

Applications · Statistics 2025-11-05 Jack Kissell , Vijini Lakmini , Brani Vidakovic

In recent work on time-series prediction, Transformers and even large language models have garnered significant attention due to their strong capabilities in sequence modeling. However, in practical deployments, time-series prediction often…

Machine Learning · Computer Science 2026-02-17 Wenxuan Xie , Fanpu Cao

The application of wavelet transforms to Synthetic Aperture Radar (SAR) imagery has improved despeckling performance. To deduce the problem of filtering the multiplicative noise to the case of an additive noise, the wavelet decomposition is…

Computer Vision and Pattern Recognition · Computer Science 2016-08-03 Mario Mastriani

Despite their high accuracy, UWB-based localization systems suffer inaccuracies when deployed in industrial locations with many obstacles due to multipath effects and non-line-of-sight (NLOS) conditions. In such environments, current error…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Dieter Coppens , Adnan Shahid , Eli De Poorter

Two-dimensional (2D) materials are among the most studied ones nowadays, because of their unique properties. These materials are made of, single- or few atom-thick layers assembled by van der Waals forces, hence allowing a variety of…

Mesoscale and Nanoscale Physics · Physics 2020-12-17 Pascal Puech , Iann Gerber , Fabrice Piazza , Marc Monthioux

In digital signal processing time-frequency transforms are used to analyze time-varying signals with respect to their spectral contents over time. Apart from the commonly used short-time Fourier transform, other methods exist in literature,…

Signal Processing · Electrical Eng. & Systems 2021-01-19 Stefan Scholl

This article introduces the class of continuous time locally stationary wavelet processes. Continuous time models enable us to properly provide scale-based time series models for irregularly-spaced observations for the first time, while…

Statistics Theory · Mathematics 2025-03-19 Henry Antonio Palasciano , Marina I. Knight , Guy P. Nason