Repeat of Problem, but discuss the basic issues involved in the design of a regenerative repeater for PCM.
Problem:-
Consider a chain of (n - 1) regenerative repeaters, with a total of n sequential decisions made on a binary PCM wave, including the final decision made at the receiver. Assume that any binary symbol transmitted through the system has an independent probability p1 of being inverted by any repeater. Let pn represent the probability that a binary symbol is in error after transmission through the complete system.
a. Show that
b. If p1 is very small and n is not too large, what is the corresponding value of pn?