Consider the periodic triangular wave m(t) shown in Fig. 1.
m(t)
-3T
T
0
T
3T
Figure 1: Periodic triangular wave
a. Let the periodic triangular wave in Fig. 1 be an input to a double side-band suppressed carrier (DSB-SC) modulator whose output signal is given by:
s(t) = Acm(t)cos(2Ï€fct),
where c(t) = Accos(2Ï€fet) is the carrier signal, fe is the carrier frequency, and m(t) is the input message signal.
(a.1) Sketch the aforementioned DSB-SC modulated wave.
(a.2) Find the Fourier transform S(f) of the DSB-SC modulated signal s(t).
(a.3) Sketch the corresponding amplitude/frequency spectrum.