Q4 Consider a chain of (n-l) regenerative repeaters, with a …

This question is from Digital Communications simon haykin.

Q4 Consider a chain of (n-l) regenerative repeaters, with a total of n sequential decisions made ona binary PCM wave, including the ﬁnal decision made at the receiver. Assume that any binary symboltransmitted through the system has an independent probability p, of being inverted by any repeater. Let 1),, represent the probability that a binary symbol is in error after transmission through the complete system. 20‘ a 9.2 . (a) Show that p” = in _ (1 _ 21’0"] (b) If :91 is very small and n is not too large, what is the approximate value of pﬂ ?( 05)