(a) Consider a three-stage communication system comprised of punt amplifiers and one filter with an input power of P _in = 0.05mW and absolute power gains of Ant = 100, A _p1 = 100 and A _{p 2} = 1000.Calculate:

(i) The input power In dBm.

(ii) The gain of each of the three stages and the overall gain in dB.

(iii) The output power, P _out in watts.

(b) An Amplitude Modulation (AM) modulated wave with the output wave changes of ±7.51V _p , is shown in the following equation:
v _am (t) = 20 sin(2π500 x 10 ³ )t 3.75 cos(2π510 x 10 ³ )t + 3.75 cos(2π490 x 10 ³ )t

(i) Calculate the modulation coefficient. m.

(ii) Calculate the peak amplitude of the modulated carder.

(iii) Calculate the upper and lower side frequency voltages.

(iv) Calculate the maximum and minimum amplitude of the envelope.