(a) Consider the transmission of digital data at a rate of R = 50 kbps and at an error probability of P_E = 10^-6. Using the bandwidth of the main lobe as a bandwidth measure, give an estimate of the required transmission bandwidth and E_b / N₀ in decibels required for the following coherent modulation schemes:

(i) binary ASK; (ii) BPSK; (iii) binary coherent FSK (take the minimum spacing possible between the signal representing the logic 1 and that representing the logic 0).

(b) Consider the same question as in part (a), but with R = 500 kbps and P_E = 10^-5.