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On the Use of Windows for Harmonic Analysis With the Discrete Fourier Transform
 Proc. IEEE
, 1978
"... AhmwThis Pw!r mak = available a concise review of data win compromise consists of applying windows to the sampled daws pad the ^ affect On the Of in the data set, or equivalently, smoothing the spectral samples. '7 of aoise9 m the ptesence of sdroag bar The two operations to which we subject ..."
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Cited by 668 (0 self)
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, windowing is less related to sampled windows for DFT's. HERE IS MUCH signal processing devoted to detection and estimation. Detection is the task of determiningif a specific signal set is present in an observation, while estimation is the task of obtaining the values of the parameters
ATOMIC DECOMPOSITION BY BASIS PURSUIT
, 1995
"... The TimeFrequency and TimeScale communities have recently developed a large number of overcomplete waveform dictionaries  stationary wavelets, wavelet packets, cosine packets, chirplets, and warplets, to name a few. Decomposition into overcomplete systems is not unique, and several methods for d ..."
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Cited by 2728 (61 self)
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the smallest l 1 norm of coefficients among all such decompositions. We give examples exhibiting several advantages over MOF, MP and BOB, including better sparsity, and superresolution. BP has interesting relations to ideas in areas as diverse as illposed problems, in abstract harmonic analysis, total
Functional Equations and the Harmonic Relations for Multiple Zeta Values
"... Let θ(x) denote Jacobi’s theta function. We show that the function Fξ(x) = (θ′(0)θ(x+ξ))/(θ(x)θ(ξ)) satisfies functional equations, which is a generalization of the harmonic relations for multiple zeta values. 1 ..."
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Let θ(x) denote Jacobi’s theta function. We show that the function Fξ(x) = (θ′(0)θ(x+ξ))/(θ(x)θ(ξ)) satisfies functional equations, which is a generalization of the harmonic relations for multiple zeta values. 1
Automatic Transcription of Polyphonic Music Using Harmonic Relations
, 2003
"... IRSBEX0309 2 This master thesis presents a system for automatic transcription of polyphonic music. Polyphonic music is rather complex due to the interaction between the harmonic constellations of each fundamental note. In order to find the fundamental notes in this daedalian environment that has bee ..."
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IRSBEX0309 2 This master thesis presents a system for automatic transcription of polyphonic music. Polyphonic music is rather complex due to the interaction between the harmonic constellations of each fundamental note. In order to find the fundamental notes in this daedalian environment that has
Automatic Transcription of Polyphonic Music Using Harmonic Relations
"... 1.1Background.............................. 7 1.2Assignment.............................. 7 ..."
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Cited by 1 (0 self)
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1.1Background.............................. 7 1.2Assignment.............................. 7
Approximation Algorithms for Connected Dominating Sets
 Algorithmica
, 1996
"... The dominating set problem in graphs asks for a minimum size subset of vertices with the following property: each vertex is required to either be in the dominating set, or adjacent to some node in the dominating set. We focus on the question of finding a connected dominating set of minimum size, whe ..."
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Cited by 366 (9 self)
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degree, and H is the harmonic function. This question also arises in relation to the traveling tourist problem, where one is looking for the shortest tour such that each vertex is either visited, or has at least one of its neighbors visited. We study a generalization of the problem when the vertices have
The perception of a change in the relative phase of two harmonically related sinusoids
"... Current models of basilar membrane motion such as the Gammatone filterbank (de Boer, 1975; de Boer and de Jongh, 1978) overestimate the sharpness of auditory filters. Such models predict ..."
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Current models of basilar membrane motion such as the Gammatone filterbank (de Boer, 1975; de Boer and de Jongh, 1978) overestimate the sharpness of auditory filters. Such models predict
Accurate shortterm analysis of the fundamental frequency and the harmonicstonoise ratio of a sampled sound
 IFA Proceedings 17
, 1993
"... We present a straightforward and robust algorithm for periodicity detection, working in the lag (autocorrelation) domain. When it is tested for periodic signals and for signals with additive noise or jitter, it proves to be several orders of magnitude more accurate than the methods commonly used for ..."
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Cited by 260 (4 self)
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the position of the maximum of the autocorrelation function of the sound, while the degree of periodicity (the harmonicstonoise ratio) of the sound can be found from the relative height of this maximum. However, sampling and windowing cause problems in accurately determining the position and height
Mellin Transforms And Asymptotics: Harmonic Sums
 THEORETICAL COMPUTER SCIENCE
, 1995
"... This survey presents a unified and essentially selfcontained approach to the asymptotic analysis of a large class of sums that arise in combinatorial mathematics, discrete probabilistic models, and the averagecase analysis of algorithms. It relies on the Mellin transform, a close relative of the i ..."
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Cited by 202 (12 self)
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This survey presents a unified and essentially selfcontained approach to the asymptotic analysis of a large class of sums that arise in combinatorial mathematics, discrete probabilistic models, and the averagecase analysis of algorithms. It relies on the Mellin transform, a close relative
Rhythmic Masking Release: Effects of Asynchrony, Temporal Overlap, Harmonic Relations, and Source Separation on CrossSpectral Grouping
"... The rhythm created by spacing a series of brief tones in a regular pattern can be disguised by interleaving identical distractors at irregular intervals. The disguised rhythm can be unmasked if the distractors are allocated to a separate stream from the rhythm by integration with temporally overlapp ..."
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Cited by 2 (0 self)
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overlapping captors. Listeners identified which of 2 rhythms was presented, and the accuracy and rated clarity of their judgment was used to estimate the fusion of the distractors and captors. The extent of fusion depended primarily on onset asynchrony and degree of temporal overlap. Harmonic relations had
Results 1  10
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4,595