Consider a delta modulation $($DM$)$ system used to transmit a voice signal, which is uniformly sampled at the rate of $64$ kHz $.$ Assume the following specifications:

Voice signal bandwidth $=3\mathrm{.}1kHz$

Maximum signal amplitude $=10$ volts

$($a$)$ To avoid slope overload distortion, what is the minimum permissible value of the step size $$ used in the system?

$($b$)$ Determine the average power of granular noise.

$($c$)$ Determine the minimum$-$channel bandwidth needed to transmit the DM encoded data.