Explore topic-wise MCQs in Digital Signal Processing.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.

1.

A linear time invariant system is characterized by the system function H(z)= ( frac{1}{1-0.5z^{-1}}+ frac{2}{1-3z^{-1}} ). What is the h(n) if the system is anti causal?

A. (0.5)<sup>n</sup>u(n)+2(3)<sup>n</sup>u(n)
B. (0.5)<sup>n</sup>u(-n-1)-2(3)<sup>n</sup>u(-n-1)
C. -[(0.5)<sup>n</sup>+2(3)<sup>n</sup>]u(-n-1)
D. (0.5)<sup>n</sup>u(n)-2(3)<sup>n</sup>u(-n-1)
Answer» D. (0.5)<sup>n</sup>u(n)-2(3)<sup>n</sup>u(-n-1)
Discussion
2.

A linear time invariant system is characterized by the system function H(z)= ( frac{1}{1-0.5z^{-1}}+ frac{2}{1-3z^{-1}} ). What is the ROC of H(z) if the system is causal?

A. |z|&lt;3
B. |z|&gt;3
C. |z|&lt;0.5
D. |z|&gt;0.5
Answer» C. |z|&lt;0.5
Discussion
3.

A linear time invariant system is characterized by the system function H(z)= ( frac{1}{1-0.5z^{-1}}+ frac{2}{1-3z^{-1}} ). What is the h(n) if the system is stable?

A. (0.5)<sup>n</sup>u(n)-2(3)<sup>n</sup>u(n)
B. (0.5)<sup>n</sup>u(-n-1)-2(3)<sup>n</sup>u(-n-1)
C. (0.5)<sup>n</sup>u(-n-1)-2(3)<sup>n</sup>u(n)
D. (0.5)<sup>n</sup>u(n)-2(3)<sup>n</sup>u(-n-1)
Answer» E.
Discussion
4.

If all the poles of H(z) are inside the unit circle, then the system is said to be ____________

A. Only causal
B. Only BIBO stable
C. BIBO stable and causal
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
5.

A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function _____________

A. Includes unit circle
B. Excludes unit circle
C. Is an unit circle
D. None of the mentioned
Answer» B. Excludes unit circle
Discussion
6.

If the ROC of the system function is the exterior of a circle of radius r &lt; , including the point z = , then the system is said to be ___________

A. Stable
B. Causal
C. Anti causal
D. None of the mentioned
Answer» C. Anti causal
Discussion
7.

What is the steady-state response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos( n/4)u(n) and the system is initially at rest?

A. 13.56cos( n/4 -28.7<sup>o</sup>)
B. 13.56cos( n/4 +28.7<sup>o</sup>)u(n)
C. 13.56cos( n/4 -28.7<sup>o</sup>)u(n)
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
8.

What is the transient response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos( n/4)u(n) and the system is initially at rest?

A. (0.5)<sup>n</sup>u(n)
B. 0.5(6.3)<sup>n</sup>u(n)
C. 6.3(0.5)<sup>n</sup>
D. 6.3(0.5)<sup>n</sup>u(n)
Answer» E.
Discussion
9.

If one or more poles are located near the unit circle, then the rate of decay of signal is _________

A. Slow
B. Constant
C. Rapid
D. None of the mentioned
Answer» B. Constant
Discussion
10.

If all the poles have small magnitudes, then the rate of decay of signal is __________

A. Slow
B. Constant
C. Rapid
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
11.

If pk, k=1,2, N are the poles of the system and |pk| &lt; 1 for all k, then the natural response of such a system is called as Transient response.

A. True
B. False
Answer» B. False
Discussion
12.

If all the poles of H(z) are outside the unit circle, then the system is said to be _____________

A. Only causal
B. Only BIBO stable
C. BIBO stable and causal
D. None of the mentioned
Answer» E.
Discussion
13.

What is the unit step response of the system described by the difference equation?y(n)=0.9y(n-1)-0.81y(n-2)+x(n) under the initial conditions y(-1)=y(-2)=0?

A. [1.099+1.088(0.9)<sup>n</sup>. (cos( frac{ pi}{3} n+5.2^o) )]u(n)
B. [1.099+1.088(0.9)<sup>n</sup>. (cos( frac{ pi}{3} n-5.2^o) )]u(n)
C. [1.099+1.088(0.9)<sup>n</sup>. (cos( frac{ pi}{3} n-5.2^o) )]
D. None of the mentioned
Answer» C. [1.099+1.088(0.9)<sup>n</sup>. (cos( frac{ pi}{3} n-5.2^o) )]
Discussion