A Transmission System copies a simple electrical cable with a bandwidth of 60 MHz Consider the following periodic composite waveforms:

a) s(t) = sin (2π f₁ t) + 1/3sin ( 2π (3f₁ ) t) + 1/5 sin ( 2π (5f₁ ) t) + 1/7 sin ( 2π (7f₁ ) t)
b) s(t) = sin (2π f₁ t) + 1/3sin ( 2π (3f₁ ) t) + 1/5 sin ( 2π (5f₁ ) t)

(i) For each signal: identify the spectrum and bandwidth.
(ii) For each signal: calculate maximum value for f₁ such that all harmonics pass through the Transmission System without distortion. Show your calculations.
(iii) Assume each signal can usefully only carry two bits per cycle, calculate the data for each signal.
(iv) Explain what would happen if a square waveform (a sharped-edged signal in the time domain) was input to the above Transmission System.