000170629 001__ 170629
000170629 005__ 20181203022506.0
000170629 0247_ $$2doi$$a10.1364/OL.36.004617
000170629 022__ $$a0146-9592
000170629 02470 $$2ISI$$a000298174400051
000170629 037__ $$aARTICLE
000170629 041__ $$aeng
000170629 245__ $$aPhase extraction in speckle interferometry by a circle fitting procedure in the complex plane
000170629 260__ $$bOptical Society of America$$c2011
000170629 269__ $$a2011
000170629 336__ $$aJournal Articles
000170629 520__ $$aIn speckle interferometry (SI), temporal signals are amplitude- and frequency-modulated signals and exhibit a fluctuating background. Prior to phase computation, this background intensity must be eliminated. Here our approach is to build a complex signal from the raw one and to fit a circle through the points cloud representing its sampled values in the complex plane. The circle fit is computed from a set of points whose length is locally adapted to the signal. This procedure—new to our knowledge in SI—yields the background and the modulation depth and leads to the determination of the instantaneous frequency. The method, applied to simulated and experimental signals, is compared to empirical mode decomposition (EMD). It shows great robustness in the computation of the sought quantities in SI, especially with signals close to the critical sampling or, on the contrary, highly oversampled, situations where the background elimination by EMD is the most prone to errors.
000170629 6531_ $$aEmpirical Mode Decomposition
000170629 700__ $$0245796$$aEquis, Sébastien$$g172138
000170629 700__ $$0244990$$aJacquot, Pierre$$g105470
000170629 773__ $$j36$$k23$$q4617-4619$$tOptics Letters
000170629 909C0 $$0252353$$pNAM$$xU10373
000170629 909CO $$ooai:infoscience.tind.io:170629$$pSTI$$particle
000170629 917Z8 $$x172138
000170629 937__ $$aEPFL-ARTICLE-170629
000170629 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000170629 980__ $$aARTICLE