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Delayed exponential fitting by best tensor rank-(R1;R2;R3) approximation

Abstract : We present a subspace-based scheme for the estimation of the poles (angular-frequencies and damping-factors) of a sum of damped and delayed sinusoids. In our model each component is supported over a different time frame, depending on the delay parameter. Classical subspace based methods are not suited to handle signals with varying time-support. In this contribution, we propose a solution based on the best rank-(R1, R2, R3) approximation of a partially structured Hankel tensor on which the data are mapped. We show, by means of an example, that our approach outperforms the current tensor and matrix-based approaches in terms of the accuracy of the damping parameter estimates.
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https://hal-supelec.archives-ouvertes.fr/hal-01251650
Contributor : Remy Boyer <>
Submitted on : Wednesday, January 6, 2016 - 3:22:08 PM
Last modification on : Wednesday, September 16, 2020 - 4:46:09 PM

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  • HAL Id : hal-01251650, version 1

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Remy Boyer, Lieven de Lathauwer, Karim Abed-Meraim. Delayed exponential fitting by best tensor rank-(R1;R2;R3) approximation. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Mar 2005, Philadephia, United States. ⟨hal-01251650⟩

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