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

Desire Muhire, Yassine Tounsi, Manoj Kumar, Ahmed Siari, Fernando Mendoza Santoyo, Osamu Matoba, Abdelkrim Nassim

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish
Article number102407
JournalOptical Engineering
Volume59
Issue number10
DOIs
StatePublished - 1 Oct 2020
Externally publishedYes

Keywords

  • AM–FM demodulation
  • Digital speckle pattern interferometry
  • Discrete wavelet transform
  • Hilbert transform
  • Teager–Kaiser energy operator

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Engineering (all)

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