snr and eb no

Dear all, I want to know what exactly the difference between SNR and Eb/No? In my system, I'm assuming the values of SNR, how I can calculate Eb/No from this?

 Accepted Answer

Daniel Shub
Daniel Shub on 27 Jun 2011

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In general the E/N0 notation denotes the signal energy over the spectrum level of the noise. As for differences between SNR and E/N0:
E/N0 depends on the duration of the signal E/N0 does not depend on the bandwidth of the noise
To get E/N0 from the SNR, you also need to know the duration of the signal and the noise bandwidth.

3 Comments

Mohammed
Mohammed on 27 Jun 2011
thanks Daniel,
you said it doesn't depend on the noise bandwidth, and then I need to know noise bandwidth to get it??? if my signal duration is 64 ns, how to calculate Eb/No? thanks in advance
Daniel Shub
Daniel Shub on 27 Jun 2011
E/N0 does not depend on the noise bandwidth, but the SNR does. SNR is the ratio of signal power to noise power. Signal energy (E) is equal to the signal power (P_s) times duration (T) (i.e., E = P_s*T). Assuming the noise is white, the noise power (P_n) is the spectrum level (N0) times the bandwidth (BW) (i.e., P_n = N0*BW). So if you have P_s/P_n (i.e., the signal to noise ratio), T and BW, you should be able to solve for E/N0.
E/N0 = (P_s*T)/(P_n/BW) = (P_s/P_n)*T*BW = SNR*T*BW
Mohammed
Mohammed on 27 Jun 2011
thanks a lot

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