Digital Image Interpolation in Matlab

1Signal Sampling

We are living in an analog world that makes it fairly easy to overwhelm our computation system to process the vast information carried by the analog signal. To process the analog signal, it will have to be sampled in a way that the sampled signal can be handled by our computation system. The sampled signal should be able to faithfully represent the analog signal. With this, it is natural to ask: “Is it possible to reconstruct the analog signal from the samples?” Such an important question has been answered by the sampling theorem [56]. The sampling theorem considers the signal sequence obtained by uniformly sampling an analog function with a sampling interval , such that

(1.1)

where is a Dirac delta function and is the set of integers. The sampling theorem tells us when and how to reconstruct the analog signal from the sampled signal sequence . At the same time, the ...