# The Nyquist Sampling Theorem

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Digitization is not a continuous process. Just as the amplitude representations of data are discrete integers, so the values are digitized at specific times. One may snatch a single value from a data stream (sampling), one may take data at regular intervals (periodic sampling), or one may digitize in response to a specific, triggering event. In any case, given that discrete numbers are stored, there are a finite number of measurements taken over an interval of time. How much fidelity between the sampled signal and the real, analog, continuously-varying temporal waveform can be expected?