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We present a new representation of harmonic sounds that linearizes the dynamics of pitch and spectral envelope, while remaining stable to deformations in the time-frequency plane. It is an instance of the scattering transform, a generic…

Sound · Computer Science 2016-01-05 Vincent Lostanlen , Stéphane Mallat

In the present paper we have reported a wavelet based time-frequency multiresolution analysis of an ECG signal. The ECG (electrocardiogram), which records hearts electrical activity, is able to provide with useful information about the type…

Computational Engineering, Finance, and Science · Computer Science 2013-11-26 Swapnil Barmase , Saurav Das , Sabyasachi Mukhopadhyay

Biosignals are nowadays important subjects for scientific researches from both theory and applications especially with the appearance of new pandemics threatening humanity such as the new Coronavirus. One aim in the present work is to prove…

Signal Processing · Electrical Eng. & Systems 2021-03-17 Malika Jallouli , Makerem Zemni , Anouar Ben Mabrouk , Mohamed Ali Mahjoub

This paper offers a new regard on compactly supported wavelets derived from FIR filters. Although being continuous wavelets, analytical formulation are lacking for such wavelets. Close approximations for daublets (Daubechies wavelets) and…

Numerical Analysis · Computer Science 2019-09-27 V. V. Vermehren , J. E. Wesen , H. M. de Oliveira

A heart murmur is an atypical sound produced by the flow of blood through the heart. It can be a sign of a serious heart condition, so detecting heart murmurs is critical for identifying and managing cardiovascular diseases. However,…

Signal Processing · Electrical Eng. & Systems 2023-06-09 Dixon Vimalajeewa , Chihoon Lee , Brani Vidakovic

This work presents a wavelet-based approach to time-frequency fingerprinting for time series feature extraction, with a focus on audio identification from live recordings of traditional Irish tunes. The challenges of identifying features in…

Audio and Speech Processing · Electrical Eng. & Systems 2025-08-04 Noah Shore

In this paper, we consider the design of wavelet filters based on the Thiran common-factor approach proposed in Selesnick [2001]. This approach aims at building finite impulseresponse filters of a Hilbert-pair of wavelets serving as real…

Methodology · Statistics 2017-10-26 Sophie Achard , Irène Gannaz , Marianne Clausel , François Roueff

A method for constructing non-uniform filter banks is presented. Starting from a uniform system of translates, generated by a prototype filter, a non-uniform covering of the frequency axis is obtained by composition with a warping function.…

Functional Analysis · Mathematics 2019-12-23 Nicki Holighaus , Christoph Wiesmeyr , Zdeněk Průša

An active dissipative process organizes auditory frequency analysis in the mammalian cochlea. A minimal active beam model reveals that a spatially varying viscous coupling operator, $\partial_{xx}\kappa\partial_{xx}$, generates dissipative…

Biological Physics · Physics 2026-02-06 Yasuki Murakami

Classical multiscale analysis based on wavelets has a number of successful applications, e.g. in data compression, fast algorithms, and noise removal. Wavelets, however, are adapted to point singularities, and many phenomena in several…

Statistics Theory · Mathematics 2007-06-13 David L. Donoho

We present a new method of wavelet packet decomposition to be used in gravitational wave detection. An issue in wavelet analysis is what is the time-frequency resolution which is best suited to analyze data when in quest of a signal of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Riccardo Sturani , Roberto Terenzi

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

The human cochlea is a remarkable device, able to discern extremely small amplitude sound pressure waves, and discriminate between very close frequencies. Simulation of the cochlea is computationally challenging due to its complex geometry,…

Numerical Analysis · Mathematics 2025-10-20 Edward Givelberg , Julian Bunn

The sensitivity and frequency selectivity of hearing result from tuned amplification by an active process in the mechanoreceptive hair cells. In most vertebrates the active process stems from the active motility of hair bundles. The…

Neurons and Cognition · Quantitative Biology 2010-03-30 Tobias Reichenbach , A. J. Hudspeth

The aim of this study is to evaluate a machine-learning method in which symbolic representations of folk songs are segmented and classified into tune families with Haar-wavelet filtering. The method is compared with previously proposed…

Machine Learning · Computer Science 2025-04-30 Gissel Velarde , Tillman Weyde , David Meredith

This paper presents a wavelet representation using baseband signals, by exploiting Kotel'nikov results. Details of how to obtain the processes of envelope and phase at low frequency are shown. The archetypal interpretation of wavelets as an…

Classical Analysis and ODEs · Mathematics 2018-08-24 H. M. de Oliveira , R. J. Cintra , R. C. de Oliveira

The exposure sequence is being actively studied for user interest modeling in Click-Through Rate (CTR) prediction. However, the existing methods for exposure sequence modeling bring extensive computational burden and neglect noise problems,…

Information Retrieval · Computer Science 2022-05-02 Xiaoxiao Xu , Zhiwei Fang , Qian Yu , Ruoran Huang , \\Chaosheng Fan , Yong Li , Yang He , Changping Peng , Zhangang Lin , Jingping Shao

Perfect reconstruction filter banks can be used to generate a variety of wavelet bases. Using IIR linear phase filters one can obtain symmetry properties for the wavelet and scaling functions. In this paper we describe all possible IIR…

Numerical Analysis · Mathematics 2011-12-23 Lucas Monzon

We introduce $\texttt{WaveletNet}$, a wavelet-based neural network architecture to identify and reduce non-Gaussian noise in gravitational wave data. Traditionally, convolutional neural networks (CNNs) have been widely used as a flexible…

Instrumentation and Methods for Astrophysics · Physics 2026-01-27 Arush Pimpalkar , Digvijay Wadekar , Mark Ho-Yeuk Cheung , Emanuele Berti

This study presents a bio inspired signal processing framework for robust Underwater Acoustic Target Recognition (UATR). The latest state of the art methods often fail to resolve dense low frequency harmonic structures in vessel propulsion…

Sound · Computer Science 2026-05-07 Rajeshwar Tripathi , Sandeep Kumar , Monika Aggarwal , Neel Kanth Kundu