I am having trouble calculating my Energy per symbol and Es/No. Using these parameters and equation
$N_s = $Number Symbols
$R_s = $Symbol Rate
$T_s = $Symbol Time
$sps = $samples per symbol
x = signal = QAM-16 with no noise added
Then using these, two equations:
$E_s = E_{total} / N_s = sum(abs(x)^2) / N_s $
$E_s=P_{avg} / (sps/R_s) = P_{avg} sps T_s$
This second equation comes from Energy = Power x Time. So Energy per symbol = Power x Time for Symbol, but my symbol spans more samples because its upsampled, one symbol spans sps samples. So Energy per symbol = Power x time for symbol x sps.
Where $P_{avg} = sum(abs(x)^2) / N $
N = Number Samples
I have tried both equations after the RRC transmit and after the RRC receive filters, both times these equations give two different answers.
First equation gives a very large number and the second is incredibly small number in comparison. Ive tried removing sps from the second equation but does not get anywhere close to first equation.
Ultimately I need to work out Es/No and I cant get Es right. Any thoughts please? :/