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.
This paper presents an algorithm for deriving uniformly spaced samples from nonuniformly spaced samples of a signal (and visa versa). The nonuniformity must be a function of linear sampling i.e. to derive uniformly spaced samples from an exponentially sampled signal. One place this situation occurs is in the calculation of some integral transforms like the Hankel transform. The algorithm runs quickly, in linear time and can thus be used with the FFT to create fast transform algorithms and provide a superior alternative to linear interpolation.