Performance of ESPRIT for Estimating Mixtures of Complex Exponentials Modulated by Polynomials

Badeau, Roland; Richard, Gaël; David, Bertrand

doi:10.1109/tsp.2007.906744

Cited by 37 publications

(45 citation statements)

References 33 publications

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“…The filter parameters are estimated using aH igh-Resolution (HR) modal analysis technique [15]. The filter can be estimated using an impact recorded in isolation or within the rolling sound.…”

Section: Overview Of the Algorithmmentioning

confidence: 99%

Perceptual Evaluation of Rolling Sound Synthesis

Murphy¹,

Lagrange²,

Scavone³

et al. 2011

Acta Acustica united with Acustica

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Three listening tests were conducted to perceptually evaluate different versions of an ew real-time synthesis approach for sounds of sustained contact interactions. This study aims to identify the most effective algorithm to create ar ealistic sound for rolling objects. In Experiment 1a nd 2, participants were asked to rate the extent to which 6different versions sounded likerolling sounds. Subsequently,inExperiment 3, participants compared the 6versions best rated in Experiment 1and 2, to the original recordings. Results are presented in terms of both statistical analysis of the most effective synthesis algorithm and qualitative user comments. On methodological grounds, the comparison of Experiments 1, 2and 3highlights major differences between judgments collected in reference to the original recordings as opposed to judgments based on memory representations of rolling sounds. PACS no. 43.66.Lj, 43.75.Zz Received16September 2010, accepted 15 May 2011. * currently at the School of Computing at Dublin City University. † currently at IRCAM, Paris. 1 This study waspart of alarger research project entitled "Haptics, Sound and Interaction in the Design of Enactive Interfaces". This collaborative project concerned the areas of sound synthesis and interface design, haptic devices, perception and cognition. 840 ©S.Hirzel Verlag · EAA Murphy et al.:R olling sound synthesis ACTA ACUSTICA UNITED WITH ACUSTICA Vol. 97 (2011)

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Section: Overview Of the Algorithmmentioning

confidence: 99%

Perceptual Evaluation of Rolling Sound Synthesis

Murphy¹,

Lagrange²,

Scavone³

et al. 2011

Acta Acustica united with Acustica

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“…As mentioned previously, the main objective of this paper is to use the extended Prony-type scheme to interpolate a function on an equispaced grid. The extended Prony scheme comprises complex exponentials and polynomials [1,2,6]:…”

Section: A Short Overview Of the Prony Methodsmentioning

confidence: 99%

An extended Prony’s interpolation scheme on an equispaced grid

et al. 2015

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An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper. This interpolation scheme is exact when the number of nodes corresponds to the order of the linear recurrent function. It is shown that it is still possible to construct a nearest mimicking algebraic interpolant if the order of the linear recurrent function does not exist. The proposed interpolation technique can be considered as the extension of the Prony method and can be useful for describing noisy and defected signals.

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“…Q ≈ R was proved to be an efficient solution [20], thus we choose Q = ⌊T /2⌋ where ⌊.⌋ stands for the lowest integer. We also define the complex-amplitude vector:…”

Section: Estimation Of the Parametersmentioning

confidence: 99%

Parametric Audio Coding With Exponentially Damped Sinusoids

Derrien

Badeau

Richard

2013

IEEE Trans. Audio Speech Lang. Process.

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Abstract-Sinusoidal modeling is one of the most popular techniques for low bitrate audio coding. Usually, the sinusoidal parameters (amplitude, pulsation and phase of each sinusoidal component) are kept constant within a time segment. An alternative model, the so-called Exponentially-Damped Sinusoidal (EDS) model, includes an additional damping parameter for each sinusoidal component to better represent the signal characteristics. It was however never shown that the EDS model could be efficient for perceptual audio coding. To that aim, we propose in this paper an efficient analysis/synthesis framework with dynamic timesegmentation on transients and psychoacoustic modeling, and an asymptotically optimal entropy-constrained quantization method for the four sinusoid parameters (e.g including damping). We then apply this coding technique to real audio excerpts for a given entropy target corresponding to a low bitrate (20 kbits/s), and compare this method with a classical sinusoidal coding scheme using a constant-amplitude sinusoidal model and the perceptually weighted Matching Pursuit algorithm. Subjective listening tests show that the EDS model is more efficient on audio samples with fast transient content, and similar to the classical model for more stationary audio samples.

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Performance of ESPRIT for Estimating Mixtures of Complex Exponentials Modulated by Polynomials

Cited by 37 publications

References 33 publications

Perceptual Evaluation of Rolling Sound Synthesis

Perceptual Evaluation of Rolling Sound Synthesis

An extended Prony’s interpolation scheme on an equispaced grid

Parametric Audio Coding With Exponentially Damped Sinusoids

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