sampling theorem

The greyvalues of digitized one- or two-dimensional signals are typically generated by an analogue-to-digital converter (ADC), by sampling a continuous signal at fixed intervals (e.g. in time), and quantizing (digitizing) the samples. The sampling (or point sampling) theorem states that a band-limited analogue signal xa(t), i.e. a signal in a finite frequency band (e.g. between 0 and BHz), can be completely reconstructed from its samples x(n)=x(nT), if the sampling frequency is greater than 2B (the Nyquist rate); expressed in the , this that the sampling interval T is at most 12B seconds. Undersampling can produce serious errors (aliasing) by introducing artifacts of low frequencies, both in one-dimensional signals and in digital .


  • Originally from the Data Analysis Briefbook (

Title sampling theorem
Canonical name SamplingTheorem
Date of creation 2013-03-22 12:04:25
Last modified on 2013-03-22 12:04:25
Owner akrowne (2)
Last modified by akrowne (2)
Numerical id 8
Author akrowne (2)
Entry type Theorem
Classification msc 94A20
Synonym Nyquist’s theorem