Optical Fiber Communications 4th Edition by Gerd Keiser

Exercise 6

Consider the probability distributions shown in Fig. 7.7, where the signal voltage for a binary 1 is V₁and th = V₁/2.
( a ) If = 0.20 V₁for p ( y\ 0 ) and = 0.24 V₁for p ( y | 1), find the error probabilities P₀( th ) and P₁( th ).
( b ) If a = 0.65 and b = 0.35, find P e.
( c ) If a = b = 0.5, find P e.