Singular value demodulation of phase-shifted holograms
Fernando Lopes, Michael Atlan

TL;DR
This paper introduces a novel method for demodulating phase-shifted holograms using singular value decomposition, improving robustness against phase drifts in low-light conditions.
Contribution
The paper presents a new demodulation technique based on singular value decomposition for phase-shifted holography, offering advantages over traditional Fourier analysis.
Findings
Effective demodulation in low-light conditions
Robustness against random phase drifts
Comparison shows improved performance over Fourier analysis
Abstract
We report on phase-shifted holographic interferogram demodulation by singular value decomposition. Numerical processing of optically-acquired interferograms over several modulation periods was performed in two steps : 1- rendering of off-axis complex-valued holograms by Fresnel transformation of the interferograms; 2- eigenvalue spectrum assessment of the lag-covariance matrix of hologram pixels. Experimental results in low-light recording conditions were compared with demodulation by Fourier analysis, in the presence of random phase drifts.
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