Hi Ashraf,
A single complex sine tone will only have one spectral peak.
I think you will see great profit in understanding a bit of the
math/signal theory involved. GNU Radio has a suggested reading page,
especially made for these cases:
https://gnuradio.org/redmine/projects/gnuradio/wiki/SuggestedReading
Go through Michael Ossman's tutorial (under Math).
In fact, reading through that list, there's a distinct lack of free
ressources that bridge the gap between "why? and what are complex
signals?" and digital communication basics, ie. stuff like "what is the
spectrum/a fourier transform".
If you have access to a university library or so, grab a book on basics
of signals and linear systems; like in every mature scientific
community, there's some healthy dispute on what students should be
having access to, but if you're looking for something relative precise,
yet not too mathematical and free, have a look at Lapidoth, which is
available here as a PDF:
http://www.afidc.ethz.ch/A_Foundation_in_Digital_Communication/Getting_The_Book.html
Read chapters 2 and 6.
Best regards,
Marcus
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