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Proceedings Paper

Susceptibility of error-compensating algorithms to random noise and nonlinear phase modulations in phase-shifting interferometry
Author(s): Kenichi Hibino
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Paper Abstract

In phase shifting interferometry, many error-compensating algorithms have been reported. Such algorithms suppress systematic errors caused by nonlinear sensitivities of the phase shifter and nonsinusoidal waveforms of the signal. However, in a Fizeau interferometer where both error sources are equally dominant, the most common group of the algorithms produces errors comparable to those produced by discrete Fourier algorithms which have no capability to compensate for phase-shift errors. It is shown that if an algorithm has an extended immunity to nonlinear phase shift, it can suppress the effects of both error sources simultaneously and yield much smaller errors. When a phase-shifting algorithm is designed to compensate for the systematic phase-shift errors, it becomes more susceptible to random noise. The susceptibility of phase shifting algorithms to random noise is analyzed with respect to their immunity to phase-shift errors. It is shown that for the most common algorithms for nonlinear phase shift, random errors increase as the number of samples becomes large. This class of algorithms has an optimum number of samples for minimizing the random errors, which is not observed in the Fourier algorithms. However, for the new algorithms with an extended immunity to nonlinear phase shift, random errors decrease as the number of samples increases.

Paper Details

Date Published: 24 September 1997
PDF: 8 pages
Proc. SPIE 3161, Radar Processing, Technology, and Applications II, (24 September 1997); doi: 10.1117/12.279475
Show Author Affiliations
Kenichi Hibino, Agency of Industrial Science and Technology (Japan)


Published in SPIE Proceedings Vol. 3161:
Radar Processing, Technology, and Applications II
William J. Miceli, Editor(s)

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