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Graphical vector description of sampling weights in phase-detecting algorithms

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Abstract

A theory of phase-detecting algorithms based on Fourier theory was described by Freischlad and Koliopoulos (1990). We present an application of this theory to a discrete sampling. It is shown that Greivenkamp (1984) results for a least-squares fitting of the sampling points can be obtained from this Fourier theory. We also present a new graphical vector description of the conditions required by the sampling weights in synchronous phase detection algorithms. Some applications of this graphical representation are presented.

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