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单词 SamplingTheorem
释义

sampling theorem


Sampling TheoremMathworldPlanetmath

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 .

References

  • Originally from the Data Analysis Briefbook (http://rkb.home.cern.ch/rkb/titleA.htmlhttp://rkb.home.cern.ch/rkb/titleA.html)

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更新时间:2025/5/4 15:58:02