Question

For a band-limited function, which Theorem says that “if the function is sampled at a rate equal to or greater than twice its highest frequency, the original function can be recovered from its samples”?

(a) Band-limitation theorem

(b) Aliasing frequency theorem

(c) Shannon sampling theorem

(d) None of the mentioned

The question was asked during an interview.

The doubt is from Spatial and Gray-Level Resolution and Aliasing in chapter Image Enhancement of Digital Image Processing

Answer 1

The correct choice is (c) Shannon sampling theorem

The explanation: For a band-limited function, Shannon sampling theorem says that “if the function is sampled at a rate equal to or greater than twice its highest frequency, the original function can be recovered from its samples”.