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AM-FM signal Analysis by Teager Huang Transform: application to underwater acoustics

Abdelkhalek Bouchikhi 1
1 Acoustique sous Marine
IRENAV - Institut de Recherche de l'Ecole Navale
Abstract : The Empirical Mode Decomposition (EMD) is new data driven signal processing tool dedicated to the analysis of non-stationary signals derived or not from linear systems. In EMD, the core idea is the fitting splines to extrema in the process of extracting the oscillatory components, called Intrinsic Mode Functions (IMFs), and a residual in the decomposition of the input signal. In this thesis a new EMD is introduced where smoothing interpolation instead of exact interpolation is used to construct the upper and lower envelopes of the signal to be decomposed. The new EMD is more robustness against noise compared to conventional one and reduces the number of unwanted or insignificant IMFs (over-decomposition). Combining the new EMD and the Energy Separation Algorithm (ESA) based on the Teager-Kaiser Energy Operator (TKEO), a new approach for demodulating multi-component AM-FM noisy signals called EMD-ESA is presented. Different versions of the EMD-ESA are detailed and their performances analyzed. For Time-Frequency (TF) analysis, a mathematical formulation of the TF map of the EMD-ESA called Teager-Huang Transform (THT) is presented. This TF Representation (TFR) cross-terms free is compared to classical TFRs such as spectrogram, scalogram, Wigner-Ville Distribution (WVD), Pseudo-WVD and reassigned Pseudo-WVD. Combining the new formulation of the THT and the Hough transform (HT), a new tracking scheme (detection and estimation) of multi-component linear frequency modulation signals is introduced and compared to WVD-Hough transform. The introduced detection method is called Teager Huang Hough Transform (THHT) for short. Finally, a TF analysis by the THT and classical TFRs (WVD, Pseudo-WVD,\ldots) of real signals backscattered by a cylindrical shell of different dimensions and physical parameters is performed. The obtained results show the interest of the THT as a TF tool.
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  • HAL Id : tel-00818032, version 1

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Abdelkhalek Bouchikhi. AM-FM signal Analysis by Teager Huang Transform: application to underwater acoustics. Signal and Image Processing. Université Rennes 1, 2010. English. ⟨tel-00818032⟩

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