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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…

信号处理 · 电气工程与系统科学 2018-07-27 N. K. Smolentsev , P. N. Podkur

The process of magnetic reconnection when studied in Nature or when modeled in 3D simulations differs in one key way from the standard 2D paradigmatic cartoon: it is accompanied by much fluctuations in the electromagnetic fields and plasma…

等离子体物理 · 物理学 2019-04-04 G. Lapenta , F. Pucci , M. V. Goldman , D. L. Newman

In North Indian Classical music, each raga has been traditionally associated with a performance time, which supposedly maximizes its aesthetic and emotional effects on the listener. The objective of this work was to investigate the…

声音 · 计算机科学 2021-11-02 Ananya Giri

Wave turbulence in a thin elastic plate is experimentally investigated. By using a Fourier transform profilometry technique, the deformation field of the plate surface is measured simultaneously in time and space. This enables us to compute…

混沌动力学 · 物理学 2009-10-29 Pablo Cobelli , Philippe Petitjeans , Agnes Maurel , Vincent Pagneux , Nicolas Mordant

This paper introduces a new large-scale music dataset, MusicNet, to serve as a source of supervision and evaluation of machine learning methods for music research. MusicNet consists of hundreds of freely-licensed classical music recordings…

机器学习 · 统计学 2017-04-07 John Thickstun , Zaid Harchaoui , Sham Kakade

Compared with the traditional spherical harmonics, the spherical needlets are a new generation of spherical wavelets that possess several attractive properties. Their double localization in both spatial and frequency domains empowers them…

统计方法学 · 统计学 2015-08-25 Minjie Fan

Guitar tablature is a form of music notation widely used among guitarists. It captures not only the musical content of a piece, but also its implementation and ornamentation on the instrument. Guitar Tablature Transcription (GTT) is an…

声音 · 计算机科学 2025-05-27 Yongyi Zang , Yi Zhong , Frank Cwitkowitz , Zhiyao Duan

In the present article we describe and discuss a framework for applying different topological data analysis (TDA) techniques to a music fragment given as a score in traditional Western notation. We first consider different sets of points in…

代数拓扑 · 数学 2022-12-13 Alberto Alcalá-Alvarez , Pablo Padilla-Longoria

A method is derived for the quantitative analysis of signals that are composed of superpositions of isolated, time-localized "events". Here these events are taken to be well represented as rescaled and phase-rotated versions of generalized…

统计方法学 · 统计学 2017-04-20 J. M. Lilly

Interictal spikes and sharp waves in human EEG are characteristic signatures of epilepsy. These potentials originate as a result of synchronous, pathological discharge of many neurons. The reliable detection of such potentials has been the…

生物物理 · 物理学 2009-11-10 Miroslaw Latka , Ziemowit Was , Andrzej Kozik , Bruce J. West

Wavelet based algorithms in numerical analysis are similar to other transform methods in that vectors and operators are expanded into a basis and the computations take place in this new system of coordinates. However, due to the recursive…

comp-gas · 物理学 2008-02-03 G. Beylkin

Musical features and descriptors could be coarsely divided into three levels of complexity. The bottom level contains the basic building blocks of music, e.g., chords, beats and timbre. The middle level contains concepts that emerge from…

声音 · 计算机科学 2018-06-14 Anna Aljanaki , Mohammad Soleymani

Music is a string of some of the notes out of 12 notes (Sa, Komal_re, Re, Komal_ga, Ga, Ma, Kari_ma, Pa, Komal_dha, Dha, Komal_ni, Ni) and their harmonics. Each note corresponds to a particular frequency. When such strings are encoded to…

声音 · 计算机科学 2011-09-29 Avishek Ghosh , Joydeep Banerjee , Sk. S. Hassan , P. Pal Choudhury

We describe S2LET, a fast and robust implementation of the scale-discretised wavelet transform on the sphere. Wavelets are constructed through a tiling of the harmonic line and can be used to probe spatially localised, scale-depended…

信息论 · 计算机科学 2013-10-29 B. Leistedt , J. D. McEwen , P. Vandergheynst , Y. Wiaux

In this study, an acoustic resonator -- a bass brass instrument -- with multiple resonances coupled to an exciter -- the player's lips -- with one resonance is modelled by a multidimensional dynamical system, and studied using a…

We present a novel method of classification and segmentation of melodies in symbolic representation. The method is based on filtering pitch as a signal over time with the Haar-wavelet, and we evaluate it on two tasks. The filtered signal…

机器学习 · 计算机科学 2025-04-30 Gissel Velarde , Tillman Weyde , David Meredith

The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series containing non-uniform structures with only isolated…

The periodogram is a popular tool that tests whether a signal consists only of noise or if it also includes other components. The main issue of this method is to define a critical detection threshold that allows identification of a…

宇宙学与河外天体物理 · 物理学 2015-05-19 R. Vio , P. Andreani , A. Biggs

(Abridged) Wavelet analysis can be used to measure the power spectrum of solar wind fluctuations along a line in any direction with respect to the local mean magnetic field. This technique is applied to study solar wind turbulence in…

地球与行星天体物理 · 物理学 2011-02-11 J. J. Podesta

Some connections between operator theory and wavelet analysis: Since the mid eighties, it has become clear that key tools in wavelet analysis rely crucially on operator theory. While isolated variations of wavelets, and wavelet…

经典分析与常微分方程 · 数学 2007-05-23 Palle E. T. Jorgensen