ABSTRACT
The sampling of continuous signals at periodic intervals has become a very important and practical mathematical operation. A very important consequence of a finite bandwidth signal is that it can be accurately represented by a narrow time duration sampling sequence, with samples taken at discrete and periodic instants. Sampling the function at twice the largest frequency available in the signal, the signal spectrums just touch each other and extend from minus infinity to infinity. Observe that the sinc functions tend to cancel between the sampling times and reinforce at the sampling points. The values of the function at the sampling points are called sampled values. These values are the exact values of the signal at those corresponding sampling times.
