# The Z-Transform MCQ’s

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

1. Find the Z-transform of δ(n+3).
a) z
b) z2
c) 1
d) z3

2. Find the Z-transform of an u(n);a>0.
a) zz−a
b) zz+a
c) 11−az
d) 11+az

3. When do DTFT and ZT are equal?
a) When σ = 0
b) When r = 1
c) When σ = 1
d) When r = 0

4. Find the Z-transform of cos⁡ωn u(n).
a) z(z+cosω)z2−2zcosω+1
b) z(z−cosω)z2−2zcosω+1
c) z(z−cosω)z2+2zcosω+1
d) z(z+cosω)z2+2zcosω+1

5. x(n) = an u(n) and x(n) = -an u(-n-1) have the same X(Z) and ROC.
a) True
b) False

6. Find the Z-transform of x(n) = a|n|; |a|<1.
a) zz−a–zz−(1/a)
b) zz−(1/a)–zz−a
c) zz−a+zz−(1/a)
d) 1z−a–1z−(1/a)

7. For causal sequences, the ROC is the exterior of a circle of radius r.
a) True
b) False

8. Find the Z-transform of y(n) = x(n+2)u(n).
a) z2 X(Z) – z2 x(0) – zx(1)
b) z2 X(Z) + z2 x(0) – zx(1)
c) z2 X(Z) – z2 x(0) + zx(1)
d) z2 X(Z) + z2 x(0) + zx(1)

9. Find the Z-transform of u(-n).
a) 11−z
b) 11+z
c) z1−z
d) z1+z

10. For a right hand sequence, the ROC is entire z-plane.
a) True
b) False 5 Star
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