Which conditions justify the mutual orthogonality of two random signals X(t) & Y(t)?

a. RXY , (t1, t2 ) = 0 for every t1 and t2

b. RXY , (t1, t2 ) = 1 for every t1 and t2

c. RXY = 0, (t1, t2 ) = 1 for t1 and t2 instants respectively

d. RXY = 1 , (t1, t2 ) = 0 for t1 and t2 instants respectively

ANSWER: RXY , (t1, t2 ) = 0 for every t1 and t2

Explanation:

Two random X(t) & Y(t) processes are usually said to be mutually orthogonal only and only if RXY, (t1,t2) becomes exactly equal to zero; where

t1 & t2 are the two time instants at which the processes are observed.