Reconstructing a continuous function from samples is done by interpolation algorithms.
The sampling frequency or sampling rate, f s, is the average number of samples obtained in one second, thus f s = 1/ T, with the unit samples per second, sometimes referred to as hertz, for example e.g. Then the sampled function is given by the sequence: See also: Nyquist–Shannon sampling theoremįunctions of space, time, or any other dimension can be sampled, and similarly in two or more dimensions.įor functions that vary with time, let S( t) be a continuous function (or "signal") to be sampled, and let sampling be performed by measuring the value of the continuous function every T seconds, which is called the sampling interval or sampling period.
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