1. (a) Consider a sinusoidal signal m(t) = A cos(2 Π f_{m}t) applied to a delta modulator with step size . Determine the range of the step size so that slope overload will be avoided.
(b) Assume that delta modulation (DM) system is designed to operate at 3 times the Nyquist rate of the input signal. The quantizing step size is 250 mV. Determine the maximum amplitude of a 1-kHz input sinusoid for which the delta modulator does not show slope overload.