In this problem, we derive an empirical formula for the average

In this problem, we derive an empirical formula for the average signal-to-(quantization) noise ratio of a DM system with a sinusoidal signal of amplitude A and frequency fm as the test signal. Assume that the power spectral density of the granular noise generated by the system is governed by the formula SN (A?) = ?2/6A?s where A?s is the sampling rate and ? is the step size. The DM system is designed to handle analog message signals limited to bandwidth W.
(a) Show that the average quantization noise power produced by the system is N = 4p2A2A?2mW/3A?3s where it is assumed that the step size ? has been chosen in accordance with die formula used in Problem 3.27 so as to avoid slope overload.
(b) Hence determine the signal-to-(quantization) noise ratio of the DM system for a sinusoidal input.