RMS composite =sqrt(RMS^2 random +RMS^2 narrowband)
Now, if you actually try and measure the RMS of the composite signal, you may find that is wrong.
That is because at a given frequency line the random and narrowband signals may constructively or destructively interfere. If this is important (it often is not) then you have to work out the RMS of the signal properly by the usual method. RMS=sqrt(V1^2+V2^2...+Vn^2) where n is the number of lines in your FFT
Cheers
Greg Locock
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips.