Inverse Z-Transform MCQ’s

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This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Inverse Z-Transform”.

1. Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to X(z-1) is ___________
a) n23-nu[n]
b) n23-nu[-n]
c) 1n231nu[n]
d) 1n231nu[−n]

2. Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to dX(z)dz is ___________
a) (n-1)33n-1u[n-1]
b) n33nu[n-1]
c) (1-n)33n-1u[n-1]
d) (n-1)33n-1u[n]

3. Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to X(2z) is ___________
a) n23n u[2n]
b) (−32)nn2u[n]
c) (32)nn2u[n]
d) 6nn2u[n]

4. Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to z2−z−22 X(z) is ___________
a) 12(x[n+2]-x[n-2])
b) (x[n+2]-x[n-2])
c) 12(x[n-2]-x[n+2])
d) (x[n-2]-x[n+2])

5. The system described by the difference equation y(n) – 2y(n-1) + y(n-2) = X(n) – X(n-1) has y(n) = 0 and n<0. If x (n) = δ(n), then y (z) will be?
a) 2
b) 1
c) 0
d) -1

6. Given the z-transform pair
X[n]↔32z2−16, |z|<4
The z-transform of the signal y[n] = nx[n] is _________
a) 32z2(z2−16)2
b) −32z2(z2−16)2
c) 32(z2−16)2
d) −32z(z2−16)2

7. Given the z-transform pair 3nn2 u[n] ↔ X (z). The time signal corresponding to {X(z)}2 is ___________
a) {x[n]}2
b) x[n]*x[n]
c) x[n]*x[-n]
d) x[-n]*x[-n]

8. The value of Z−1{z2(z−a)(z−b)} is ____________
a) an+1–bn+1a+b
b) an+1–bn+1a−b
c) an+1+bn+1a−b
d) an+1+bn+1a+b

9. Given the z-transform pair
X[n]↔32z2−16, |z|<4
The z-transform of the signal y[n] = x[n+1] + x[n-1] is _________
a) (z+1)2(z+1)2−16+(z−1)2(z−1)2−16
b) z2(1+z)z2−16
c) z2(z−1)z2−16
d) (z+2)2(z+2)2−16

10. The inverse Z-transform of z/(z+1)2 is ______________
a) (-1)n+1
b) (-1)n-1 n
c) (-1)n-1
d) (-1)n+1 n

11. The value of inverse Z-transform of log(zz+1) is _______________
a) (-1)n/n for n = 0; 0 otherwise
b) (-1)n/n
c) 0, for n = 0; (-1)n/n, otherwise
d) 0

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