##  [Nyquist-Shannon Sampling Theorem](/nyquist-shannon-sampling-theorem) 

  ##  [Nyquist-Shannon Sampling Theorem](https://engineering.quantumdictionary.io/nyquist-shannon-sampling-theorem-0) 

  

 [![Engineering & Applied Technologies Dictionary](/sites/default/files/styles/large/public/2026-01/Engineering%20%26%20Applied%20Technologies.png.webp?itok=_IKO7_-n)](/topic-specific-dictionaries/engineering-applied-technologies)



**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

In signal processing, the Nyquist–Shannon sampling theorem states that a continuous-time signal bandlimited to maximum frequency f_max (no spectral energy above f_max) can be exactly reconstructed from its uniform samples taken at sampling frequency f_s provided f_s > 2 f_max (often stated as f_s ≥ 2 f_max with additional technical conditions).