There are 3 practical qualifications which don't apply to the Sampling Thereom
(1) A signal that is finite in time cannot be perfectly band-limited
(2) Digitizing the amplitude levels introduces error. This applies in ECE 362 when doing Analog to Digital Conversion there must be enough bits to reduce the quantization error minimal.
(3) The theorem is based on signal reconstruction utilizing a series of sinc functions each of which is infinite in time, which in reality must of course be truncated usually by a low-pass or band-pass filter.
