Howtosignalprocessing
- How are Shannon and Nyquist channel capacity related?
- How are Nyquist's theorem and Shannon's theorem related?
- Why Nyquist data rate is lower than Shannon data rate?
- What is Shannon capacity formula?
- What is the maximum channel capacity given by Shannon's limit?
- What does the Shannon capacity have to do with communication?
How are Shannon and Nyquist channel capacity related?
The Shannon capacity gives us the upper limit; the Nyquist formula tells us how many signal levels we need.
How are Nyquist's theorem and Shannon's theorem related?
The Nyquist theorem concerns digital sampling of a continuous time analog waveform, while Shannon's Sampling theorem concerns the creation of a continuous time analog waveform from digital, discrete samples.
Why Nyquist data rate is lower than Shannon data rate?
Since it doesn't account for noise, there is no way of to know how many discrete values are possible. So Shannon came along and came up with a method to essentially place a theoretical maximum on the number of discrete levels that you can read error free.
What is Shannon capacity formula?
Shannon's formula C = 12log(1+P/N) is the emblematic expression for the information capacity of a communication channel.
What is the maximum channel capacity given by Shannon's limit?
Considering the Shannon limit around 6bit/s/Hz (or 0.75Tbit/s/nm) and the maximum 80nm bandwidth (achievable by C+L or Raman amplification) of a system, the achievable capacity over a transatlantic submarine cable will be around 60Tbit/s per fiber pair, that is not exceeding three times the state of the art technology ...
What does the Shannon capacity have to do with communication?
The Shannon limit or Shannon capacity of a communication channel refers to the maximum rate of error-free data that can theoretically be transferred over the channel if the link is subject to random data transmission errors, for a particular noise level.
