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On the Stability of Sequential Deconvolution

Abstract : The time domain estimation of inputs from knowledge of the kernel and the outputs is a de-convolution operation. For finite dimensional systems treated in discrete time the operation is tantamount to solving a set of linear equations. When performing a deconvolution an issue that must be dealt with is the fact that the dimension of the system of equations grows with duration and becomes prohibitively large when the inputs are long. For this reason, and sometimes because it is of interest to estimate the inputs with the smallest possible delay, deconvolution must often be implemented on a moving window. This paper shows that a sequential deconvolution is a conditionally stable process and derives the expression that governs numerical stability.
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https://hal.inria.fr/hal-01022989
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Submitted on : Friday, July 11, 2014 - 12:42:36 PM
Last modification on : Friday, July 11, 2014 - 1:29:51 PM
Long-term archiving on: : Saturday, October 11, 2014 - 12:11:04 PM

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  • HAL Id : hal-01022989, version 1

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Dionisio Bernal. On the Stability of Sequential Deconvolution. EWSHM - 7th European Workshop on Structural Health Monitoring, IFFSTTAR, Inria, Université de Nantes, Jul 2014, Nantes, France. ⟨hal-01022989⟩

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