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In this paper, the wavelet analysis is used to study the ECG signal. We show that the high-frequency wavelet components of the ECG signal contain information on the functioning of the heart and can be used in diagnosis. We describe the…

Signal Processing · Electrical Eng. & Systems 2018-07-27 N. K. Smolentsev , P. N. Podkur

Accurate classification of sleep stages is crucial for the diagnosis and management of sleep disorders. Conventional approaches for sleep scoring rely on manual annotation or features extracted from EEG signals in the time or frequency…

Machine Learning · Computer Science 2025-10-10 Mehdi Zekriyapanah Gashti , Ghasem Farjamnia

We suggest an adaptive sampling rule for obtaining information from noisy signals using wavelet methods. The technique involves increasing the sampling rate when relatively high-frequency terms are incorporated into the wavelet estimator,…

Statistics Theory · Mathematics 2007-06-13 Peter Hall , Spiridon Penev

Aims. The wavelet transform has been used as a powerful tool for treating several problems in astrophysics. In this work, we show that the time-frequency analysis of stellar light curves using the wavelet transform is a practical tool for…

Instrumentation and Methods for Astrophysics · Physics 2014-09-05 J. P. Bravo , S. Roque , R. Estrela , I. C. Leão , J. R. De Medeiros

This article consists of a brief discussion of the energy density over time or frequency that is obtained with the wavelet transform. Also an efficient algorithm is suggested to calculate the continuous transform with the Morlet wavelet.…

Data Analysis, Statistics and Probability · Physics 2011-11-10 Richard Buessow

We propose a new method for (global) Hurst exponent determination based on wavelets. Using this method, we analyze synthetic data with predefined Hurst exponents, fracture surfaces and data from economy. The results are compared with those…

Materials Science · Physics 2010-05-04 Ingve Simonsen , Alex Hansen , Olav Magnar Nes

Some techniques for the study of intermittency by means of wavelet transforms, are presented on an example of synthetic turbulent signal. Several features of the turbulent field, that cannot be probed looking at standard structure function…

chao-dyn · Physics 2007-05-23 Piero Olla , Paolo Paradisi

Concatenated modal interferometers based multipoint sensing system for detection of instantaneous amplitude, frequency, and phase of mechanical vibrations is proposed and demonstrated. The sensor probes are fabricated using identical…

Instrumentation and Detectors · Physics 2021-05-17 Kalipada Chatterjee , Venugopal Arumuru , Dhananjay Patil , Rajan Jha

The notion of wavelets is defined. It is briefly described {\it what} are wavelets, {\it how} to use them, {\it when} we do need them, {\it why} they are preferred and {\it where} they have been applied. Then one proceeds to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 I. M. Dremin

The present work proposes a computer-aided normal and abnormal heart sound identification based on Discrete Wavelet Transform (DWT), it being useful for tele-diagnosis of heart diseases. Due to the presence of Cumulative Frequency…

Computer Vision and Pattern Recognition · Computer Science 2012-09-11 Nilanjan Dey , Achintya Das , Sheli Sinha Chaudhuri

We introduce the joint time-frequency scattering transform, a time shift invariant descriptor of time-frequency structure for audio classification. It is obtained by applying a two-dimensional wavelet transform in time and log-frequency to…

Sound · Computer Science 2018-08-06 Joakim Andén , Vincent Lostanlen , Stéphane Mallat

The constant center frequency to bandwidth ratio (Q-factor) of wavelet transforms provides a very natural representation for audio data. However, invertible wavelet transforms have either required non-uniform decimation -- leading to…

Audio and Speech Processing · Electrical Eng. & Systems 2023-01-20 Nicki Holighaus , Günther Koliander , Clara Hollomey , Friedrich Pillichshammer

Laser-plasma interferograms are currently analyzed by extracting the phase-shift map with FFT techniques (K.A.Nugent, Applied Optics {\bf 18}, 3101 (1985)). This methodology works well when interferograms are only marginally affected by…

Plasma Physics · Physics 2016-09-08 P. Tomassini , A. Giulietti , L. A. Gizzi , M. Galimberti , D. Giulietti , M. Borghesi , O. Willi

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

Recent advances in the chirplet transform and wavelet-chirplet transform (WCT) have enabled the estimation of instantaneous frequencies (IFs) and chirprates, as well as mode retrieval from multicomponent signals with crossover IF curves.…

Signal Processing · Electrical Eng. & Systems 2025-08-26 Qingtang Jiang , Shuixin Li , Jiecheng Chen , Lin Li

We find that the EPE evaluation metrics of RAFT-stereo converge inconsistently in the low and high frequency regions, resulting high frequency degradation (e.g., edges and thin objects) during the iterative process. The underlying reason…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Xiaobao Wei , Jiawei Liu , Dongbo Yang , Junda Cheng , Changyong Shu , Wei Wang

With the advancement in image editing tools, manipulating digital images has become alarmingly easy. Inpainting, which is used to remove objects or fill in parts of an image, serves as a powerful tool for both image restoration and forgery.…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Barglazan Adrian-Alin , Brad Remus Ovidiu

High-Frequency (HF) signals are ubiquitous in the industrial world and are of great use for monitoring of industrial assets. Most deep learning tools are designed for inputs of fixed and/or very limited size and many successful applications…

Machine Learning · Computer Science 2022-03-03 Gabriel Michau , Gaetan Frusque , Olga Fink

The extraction of oscillatory components and their properties from different time-frequency representations, such as windowed Fourier transform and wavelet transform, is an important topic in signal processing. The first step in this…

Computational Engineering, Finance, and Science · Computer Science 2015-09-29 Dmytro Iatsenko , Peter V. E. McClintock , Aneta Stefanovska

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