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10 January 2020 Wavelets Teager–Kaiser Hilbert approach for AM–FM signal demodulation: application in the field of speckle metrology
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Abstract

In this work, we propose a combination of the Teager–Kaiser energy operator (TKEO) and the spiral phase transform (SPT) for robust instant energy estimation of amplitude-modulated and frequency-modulated (AM–FM) signals, where the energy extraction is followed by a high-frequency component, generally considered as noise. We demonstrate that this noise component can be subtracted mathematically using the SPT transformation applied to the AM–FM signal. The improvement in demodulation is tested using a simulated AM–FM image and evaluated by the image quality index. An experimental speckle fringe pattern obtained by digital speckle pattern interferometry on a hard disk is denoised using a multiband approach and demodulated using the proposed method.

© 2020 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2020/$28.00 © 2020 SPIE
Desire Muhire, Yassine Tounsi, Manoj Kumar, Ahmed Siari, Fernando Mendoza-Santoyo, Osamu Matoba, and Abdelkrim Nassim "Wavelets Teager–Kaiser Hilbert approach for AM–FM signal demodulation: application in the field of speckle metrology," Optical Engineering 59(10), 102407 (10 January 2020). https://doi.org/10.1117/1.OE.59.10.102407
Received: 11 September 2019; Accepted: 20 December 2019; Published: 10 January 2020
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