Least-squares fitting of a sinusoidal signal and its Fourier analysis

Daniel Malacara-Hernandez; Daniel Malacara-Doblado; Manuel Servin Guirado

doi:10.1117/12.276339

17 July 1996 Least-squares fitting of a sinusoidal signal and its Fourier analysis

Daniel Malacara-Hernandez, Daniel Malacara-Doblado, Manuel Servin Guirado

Author Affiliations +

Proceedings Volume 2860, Laser Interferometry VIII: Techniques and Analysis; (1996) https://doi.org/10.1117/12.276339
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

A least squares procedure to fit irradiance measurements ofa digitalized interferogram data to a sinusoidal function has been described in the literature by Greivenkamp. On the other hand, a general theory of phase stepping algorithms based on Fourier theory has been described by Freischlad and Kouliopoulos. In this paper it is shown that Greivenkamp results for a least squares procedure may be easily obtained from this Fourier theory.

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Daniel Malacara-Hernandez, Daniel Malacara-Doblado, and Manuel Servin Guirado "Least-squares fitting of a sinusoidal signal and its Fourier analysis", Proc. SPIE 2860, Laser Interferometry VIII: Techniques and Analysis, (17 July 1996); https://doi.org/10.1117/12.276339

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