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Precision of frequency scanning interferometry distance measurements in the presence of noise

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Abstract

A lower limit—the Cramér–Rao bound—on the variance of frequency scanning interferometry (FSI) distance measurements in the presence of noise is presented. We show that, with a suitable analysis method, the variance of experimental measurements almost reaches this limit. In particular, the variance of results with a simple analysis method was 1.54 times the limit over a range of signal-to-noise ratios. This bound aids the understanding of FSI distance measurement uncertainty, and provides a benchmark against which to compare FSI analysis algorithms.

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