Derive, showing all working, the magnitude and phase spectrum of the signal up to twelve (12) harmonics. Provide a fully labelled sketch. Tabulate the calculated Fourier coefficients.

Consider the communication system shown in Figure 1 Antenna Source A D Transducer Filter Modulator PA Transmission X1(t), X2 (t), x3(t) Vm (t) v(t) Cable Antenna H G Destination Transducer Demodulator LNA R(t) Transmission Cable Figure 1: Communication system x,(t) = 2.4 + 0. 8 sin?(200nt) + 0.3 sin(400nt + 60) + cos(600nt) x2 (t) A 4 T 5T 37 2 8 4 T C = 9.95 nF + x(t) R = 20KK y(t) Figure 2: Filter with impulse response h(t)