The Shannon-Nyquist theorem states that if a function x(t) contains no frequencies higher than B hertz, then it is completely determined by giving its ordinates at a series of points spaced 1/(2B) seconds apart.

sampling theorem | Shannon-Nyquist sampling theorem | Shannon's sampling theorem

formulation date | 1928 (97 years ago) status | proved proof date | 1949 (21 years later) (76 years ago) prover | Claude Shannon

solved mathematics problems | mathematics theorems