#research #signal-processing See also: [[Nyquist Sampling Rate]], [[Fourier Transform]] # Nyquist-Shannon Theorem Motivation: reading [[@zhuDigitalSignalProcessing2012|yuefeng's thesis]] The Nyquist-Shannon Theorem is an essential principle for digital signal processing which links the frequency range of a signal and the sampling rate to avoid the signal distortion known as [[Aliasing]]. The theorem states that the rate must be at least twice the [[Bandwidth]] of the signal to avoid any type of aliasing [^1]. [^1]:[[@shannonCommunicationPresenceNoise1949]]