
The Data Analysis BriefBook

tarix  07.11.2018  ölçüsü  4,79 Kb. 

From The Data Analysis BriefBook http://physics.web.cern.ch/Physics/DataAnalysis/BriefBook/
Aliasing
Used in the context of processing digitized signals (e.g. audio) and images (e.g. video), aliasing describes the effect of undersampling during digitization which can generate a false (apparent) low frequency for signals, or staircase steps along edges (jaggies) in images; Sampling Theorem. Aliasing can be avoided by an antialiasing (analogue) lowpass filter, before sampling. The term antialiasing is also in use for a posteriori signal smoothing intended to remove the effect.
Sampling Theorem
The greyvalues of digitized one or twodimensional signals are typically generated by an analoguetodigital 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 bandlimited analogue signal x_{a}(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 time domain, this means that the sampling interval T is at most 1/2B seconds. Undersampling can produce serious errors (aliasing ) by introducing artefacts of low frequencies, both in onedimensional signals and in digital images:
For more details and further reading , e.g. [Kunt80] or [Rabiner75].
Rudolf K. Bock, 7 April 1998
Dostları ilə paylaş: 

