Problem 3Design a FDMA system that carries three message signals: (i) A sinusoidal message of frequencyfm1 = 200 Hz, amplitude: 2, (ii) A sinusoidal message of frequency fm2 = 400 Hz, amplitude: 3,and (iii) A sinusoidal message of frequency fm3 = 500 Hz, amplitude: 2.%3DUse carrier signals of frequencies: fc1 = 2000 Hz, fc2 = 5000 Hz and fc3 = 8000 Hz respectively%3DUse AM modulation.(i)(ii)Plot the Composite FDMA signal showing all three AM modulated signalsPlot the signal in (i) in frequency domain. Identify the peaks. What do they mean?Now using band pass filters and low pass filters, recover the three messages at the receiver.(i)(ii)Plot the recovered messages in (a) time domain, (b) frequency domainWere you able to recover the original message signal?

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