(a) The message input of the Pulse Code Modulation (PCM) is given as follows: Am (t) = cos (20πt) (i) Suggest the minimum sampling frequency and justify why this value is suggested. Support your justification by illustrating its frequency spectrum with complete labels. (ii) If the message signal in quantized uniformly to 16,383 levels, calculate the number of bits required to encode the samples (iii)Evaluate the significant performance of the PCM if the quantization level is reduced to 4 levels (iv)With the same quantization level in (c), suggest the compression characteristic that will handle the given input signal voltage between -1 V to 1 V if the message signal use μ-law companding to provide non-uniform quantization. Given μ=200. Support your answer with relevant complete illustratio