HUT Communications Lab. / Timo O. Korhonen
12
Aliasing and sampling theorem
nNyqvist sampling theorem:
If a signal contains no frequency components for
it is completely described by instantaneous uniformly spaced time samples having period . The signal can hence been reconstructed from its samples by an ideal LPF of bandwidth B such that .
If a signal contains no frequency components for
it is completely described by instantaneous uniformly spaced time samples having period . The signal can hence been reconstructed from its samples by an ideal LPF of bandwidth B such that .
nNote:
If the signal contains higher frequencies than twice the sampling
frequency they will also be present at the sampled signal! An
application of this is the sampling oscilloscope:
