(a) Consider a sinusoidal signal m(t) = A cos(2πfmt) applied to a delta modulator with step size Δ. Determine the range of the step size so that slope overload will be avoided. 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.