Let $s(t)$ a signal of duration $T_s$ on a bandwidth $B$. The matched filtering of this signal gives: $R=max|s(t) \ast s^{\ast}(-t)|$ and here theoretically I saw that $R=BT_s$.

But does anyone know of rigorous proof of this result?

  • $\begingroup$ There are two incorrect claims here. One is that that the matched filter output is a scalar (it is actually another signal). The second is that the value you give for $R$ is wrong; for example, the matched filter's output depends on the energy of $s(t)$. $\endgroup$ – MBaz Jul 10 at 21:25
  • $\begingroup$ I think you are mixing up two different concepts that unfortunately use the same letter of the alphabet. The latter $R$ seems to be a rate; the former an autocorrelation value. $\endgroup$ – Dilip Sarwate Jul 10 at 21:26

The autocorrelation itslef is a continuous signal which is sampled at the symbol rate to get the peak /Max.

Then you are talking about the symbol/bit rate which ofcourse in a noiseless scenario will be close to the channel capacity

| improve this answer | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.