A Method of Finding Unknown, Continuous Time, Nonuniform Sample Locations of Band-Limited Functions

摘要

For functions with uniform samples, and functions with non uniform samples, methods exist to recreate the functions that generated the samples when certain well known conditions apply. Both of these problems presuppose that the sample locations are known. Fewer papers exist concerning samples with unknown locations. This paper outlines an algorithm for finding the sample locations when they are unknown, based on the signal being bandlimited. In comparison to previous work on this subject, this paper assumes the samples to be in continuous time, and so can easily handle a large number of samples.