Explore topic-wise MCQs in Signals & Systems.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

For a right hand sequence, the ROC is entire z-plane.

A. True
B. False
Answer» C.
Discussion
2.

Find the Z-transform of u(-n).

A. ( frac{1}{1-z} )
B. ( frac{1}{1+z} )
C. ( frac{z}{1-z} )
D. ( frac{z}{1+z} )
Answer» B. ( frac{1}{1+z} )
Discussion
3.

Find the Z-transform of x(n) = a|n|; |a|<1.

A. ( frac{z}{z-a} frac{z}{z-(1/a)} )
B. ( frac{z}{z-(1/a)} frac{z}{z-a} )
C. ( frac{z}{z-a} + frac{z}{z-(1/a)} )
D. ( frac{1}{z-a} frac{1}{z-(1/a)} )
Answer» B. ( frac{z}{z-(1/a)} frac{z}{z-a} )
Discussion
4.

Find the Z-transform of y(n) = x(n+2)u(n).

A. z<sup>2</sup> X(Z) z<sup>2</sup> x(0) zx(1)
B. z<sup>2</sup> X(Z) + z<sup>2</sup> x(0) zx(1)
C. z<sup>2</sup> X(Z) z<sup>2</sup> x(0) + zx(1)
D. z<sup>2</sup> X(Z) + z<sup>2</sup> x(0) + zx(1)
Answer» B. z<sup>2</sup> X(Z) + z<sup>2</sup> x(0) zx(1)
Discussion
5.

x(n) = an u(n) and x(n) = -an u(-n-1) have the same X(Z) and ROC.

A. True
B. False
Answer» C.
Discussion
6.

For causal sequences, the ROC is the exterior of a circle of radius r.

A. True
B. False
Answer» B. False
Discussion
7.

Find the Z-transform of cos n u(n).

A. ( frac{z(z+cos u2061 )}{z^2-2z cos u2061 +1} )
B. ( frac{z(z-cos u2061 )}{z^2-2z cos u2061 +1} )
C. ( frac{z(z-cos u2061 )}{z^2+2z cos u2061 +1} )
D. ( frac{z(z+cos u2061 )}{z^2+2z cos u2061 +1} )
Answer» C. ( frac{z(z-cos u2061 )}{z^2+2z cos u2061 +1} )
Discussion
8.

Find the Z-transform of an u(n);a>0.

A. ( frac{z}{z-a} )
B. ( frac{z}{z+a} )
C. ( frac{1}{1-az} )
D. ( frac{1}{1+az} )
Answer» B. ( frac{z}{z+a} )
Discussion
9.

Find the Z-transform of (n+3).

A. z
B. z<sup>2</sup>
C. 1
D. z<sup>3</sup>
Answer» E.
Discussion
10.

When do DTFT and ZT are equal?

A. When = 0
B. When r = 1
C. When = 1
D. When r = 0
Answer» C. When = 1
Discussion