Shannons Sampling Theorem

Shannon's Sampling Theorem states that a continuous signal, like a musical note or speech, can be perfectly reconstructed from its digital samples if it is sampled at a rate at least twice its highest frequency component. This minimum rate is called the Nyquist rate. Sampling at this rate ensures no information is lost, allowing accurate recreation of the original signal from discrete points. It forms the foundation of digital audio and communication systems, enabling conversion between analog signals and digital data without distortion.