ENP Engineering Science Journal
Volume 1, Numéro 1, Pages 43-52
2021-07-22

Vibration Signal Parameter Estimation In Variable Speed: Algorithms And Performance Bounds



Authors : Abbadi Ali . Capdessus Cécile . Abed-meraim Karim . Sekko Edgard .

Abstract

Vibration signal parameter estimation for rotating machinery diagnostics operating under variable speed conditions is considered. At first, we provide a brief survey of existing methods for Quadratic Phase Signal (QPS) parameter estimation. Then, we introduce improved solutions for the general QPS case and the Order QPS (O-QPS) case, respectively. For all considered cases (namely the QPS, O-QPS with tachometer and O-QPS without tachometer), we develop the Cramer Rao Bounds to assess and compare the estimation performance limits for each model. Finally, we compare the performance of all considered methods and highlight, in particular, the gain of the proposed solutions.

Keywords

Cramer-Rao Bound (CRB), Higher order Ambiguity Function (HAF), Quadratic Phase Transform (QPT), Variable Speed, Vibration Signal

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