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Yves Surrel
The author is with the Department of Mechanical and Materials Engineering, École des Mines de St-Étienne, 158, cours Fauriel, 42023 St. Etienne Cedex, France.
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The characteristic polynomials associated with the algorithms used in digital phase detection are used to investigate the effects of additive noise on phase measurements. First, it is shown that a loss factor η can be associated with any algorithm. This parameter describes the influence of the algorithm on the global signal-to-noise ratio (SNR). Second, the variance of the phase error is shown to depend mainly on the global SNR. The amplitude of a modulation of this variance at twice the signal frequency depends on a single parameter β. The material presented here extends previously published results, and as many as 19 algorithms are analyzed.
© 1997 Optical Society of America
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