 ##  [Shannon-Hartley Theorem](/shannon-hartley-theorem) 

  ##  [Shannon-Hartley Theorem](https://engineering.quantumdictionary.io/shannon-hartley-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 &amp; Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a communication channel modeled as an additive white Gaussian noise (AWGN) channel with bandwidth B (Hz) and signal-to-noise ratio SNR (linear), the Shannon–Hartley theorem gives the channel capacity C (maximum achievable reliable information rate in bits per second) as C = B · log2(1 + SNR).

 

 

 

 

 





 

 



 ##  [Shannon-Hartley Theorem](https://information.quantumdictionary.io/shannon-hartley-theorem-1) 

  

 [![Information & Communication Dictionary](/sites/default/files/styles/large/public/2026-01/Information%20%26%20Communication.png.webp?itok=g4emS-T7)](/topic-specific-dictionaries/information-communication)



**Information &amp; Communication Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a continuous-time, bandlimited additive white Gaussian noise (AWGN) channel of bandwidth B and signal-to-noise ratio SNR, the Shannon–Hartley theorem gives the channel's maximum achievable reliable data rate C = B · log2(1 + SNR) bits per second; it is an information-theoretic upper bound assuming ideal coding and infinite block length under the specified channel model.