Periodic CT Signal
The first signal that comes to mind when i think of a periodic CT signal is one involving sines and cosines, so let's work with one of those.
Let $ x(t) = sin(14t)+(1+3j)cos(2t) $
This can also be expressed as
$ x(t) = e^{14jt}/(2j)-e^{-14jt}/(2j) + (1+3j)*e^{2jt}/2 + (1+3j)e^{-2jt}/2 $