Figure p4.4(a) shows the waveform of the signal Sm(t) modulated (DSB-TC) by the sinusoidal wave. The carrier frequency is 1000 Hz.
(a) Obtain the Modulation index.
(b) Seek a Fourier transform of the modulated signal Sm(t); draw a spectrum. What is the bandwidth of this signal?
(c) Express the message signal m(t) and the modulated signal Sm(t) by formula.
(d) Obtain the average power of the modulated signal Sm(t).
(e) Intend to duplicate Sm(t) with a receiver as shown in Figure P4.4(b). Suppose the local oscillator output of the receiver is the same as the carrier of the transmission signal, but the phase differs by π/3. Draw a waveform of v0(t).
(f) Get the output signal v0(t) for the receiver as shown in Figure P4.4(c).