I'm given a digital signal which is a LC of several known given digital signals and modulated by 4-bits:
s(t)= A·(b0·s0(t)+b1·s1(t)+b2·s2(t)+b3·s3(t))
Then, I'm asked to compute the average symbol energy given the waveforms of s0(t)...s(3) over a period T. The thing is I'm not sure wheter I can compute the average energy like the lineal sum of the individuals like:
E(s(t))=1/4·(E(s0(t))+....+E(s3(t)))
or, otherwise, I should taking into account amplitudes take some value into the range [0,4A] and hence I must calculate the average energy for every squared amplitude. I'm aware latter implies I have to calculate the probability of every amplitude, which it seems rather complicated.
Thanks in advance!