Open AccessPhase demodulation using adaptive windowed Fourier transform based on Hilbert-Huang transform
Author(s) -
Chenxing Wang,
Feipeng Da
Publication year - 2012
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.018459
Subject(s) - hilbert transform , hilbert spectral analysis , hilbert–huang transform , fourier transform , demodulation , fractional fourier transform , short time fourier transform , instantaneous phase , classification of discontinuities , harmonic wavelet transform , computer science , s transform , algorithm , optics , mathematics , physics , artificial intelligence , wavelet transform , mathematical analysis , fourier analysis , spectral density , white noise , telecommunications , radar , wavelet packet decomposition , channel (broadcasting) , wavelet
The phase demodulation method of adaptive windowed Fourier transform (AWFT) is proposed based on Hilbert-Huang transform (HHT). HHT is analyzed and performed on fringe pattern to obtain instantaneous frequencies firstly. These instantaneous frequencies are further analyzed based on the condition of AWFT to locate local stationary areas where the fundamental spectrum will not be interfered by high-order spectrum. Within each local stationary area, the fundamental spectrum can be extracted accurately and adaptively by using AWFT with the background, which has been determined previously with the presented criterion during HHT, being eliminated to remove the zero-spectrum. This method is adaptive and unconstrained by any precondition for the measured phase. Experiments demonstrate its robustness and effectiveness for measuring the object with discontinuities or complex surface.