Which of the following justifies the linearity property of z-transform?[x(n)↔X(z)]
A. x(n)+y(n) ↔X(z)Y(z)
B. x(n)+y(n) ↔X(z)+Y(z)
C. x(n)y(n) ↔X(z)+Y(z)
D. x(n)y(n) ↔X(z)Y(z)
Answer:A
Which of the following justifies the linearity property of z-transform?[x(n)↔X(z)]
A. x(n)+y(n) ↔X(z)Y(z) B. x(n)+y(n) ↔X(z)+Y(z) C. x(n)y(n) ↔X(z)+Y(z) D. x(n)y(n) ↔X(z)Y(z)
Explanation: According to the linearity property of z-transform, if X(z) and Y(z) are the z-transforms of x(n) and y(n) respectively then, the z-transform of x(n)+y(n) is X(z)+Y(z).