Explore topic-wise MCQs in Digital Signal Processing.

This section includes 18 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.

Is the system with impulse response h(n)=2nu(n-1) stable.

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

x(n)*δ(n-n0)=?

A. x(n+n0)
B. x(n-n0)
C. x(-n-n0)
D. x(-n+n0)
Answer» C. x(-n-n0)
Discussion
3.

An LTI system is said to be causal if and only if?

A. Impulse response is non-zero for positive values of n
B. Impulse response is zero for positive values of n
C. Impulse response is non-zero for negative values of n
D. Impulse response is zero for negative values of n
Answer» E.
Discussion
4.

x(n)*[h1(n)+h2(n)]=x(n)*h1(n)+x(n)*h2(n).

A. True
B. False
Answer» B. False
Discussion
5.

Determine the impulse response for the cascade of two LTI systems having impulse responses h1(n)=\((\frac{1}{2})^2\) u(n) and h2(n)=\((\frac{1}{4})^2\) u(n).

A. \((\frac{1}{2})^n[2-(\frac{1}{2})^n]\), n<0
B. \((\frac{1}{2})^n[2-(\frac{1}{2})^n]\), n>0
C. \((\frac{1}{2})^n[2+(\frac{1}{2})^n]\), n<0
D. \((\frac{1}{2})^n[2+(\frac{1}{2})^n]\), n>0
Answer» C. \((\frac{1}{2})^n[2+(\frac{1}{2})^n]\), n<0
Discussion
6.

x(n)*(h1(n)*h2(n))=(x(n)*h1(n))*h2(n).

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

Determine the output y(n) of a LTI system with impulse response h(n)=anu(n), |a|<1with the input sequence x(n)=u(n).

A. \(\frac{1-a^{n+1}}{1-a}\)
B. \(\frac{1-a^{n-1}}{1-a}\)
C. \(\frac{1+a^{n+1}}{1+a}\)
D. None of the mentioned
Answer» B. \(\frac{1-a^{n-1}}{1-a}\)
Discussion
8.

What is the order of the four operations that are needed to be done on h(k) in order to convolute x(k) and h(k)?Step-1:FoldingStep-2:Multiplication with x(k)Step-3:ShiftingStep-4:Summation

A. 1-2-3-4
B. 1-2-4-3
C. 2-1-3-4
D. 1-3-2-4
Answer» E.
Discussion
9.

The formula y(n)=\(\sum_{k=-\infty}^{\infty}x(k)h(n-k)\) that gives the response y(n) of the LTI system as the function of the input signal x(n) and the unit sample response h(n) is known as ______________

A. Convolution sum
B. Convolution product
C. Convolution Difference
D. None of the mentioned
Answer» B. Convolution product
Discussion
10.

Resolve the sequence into a sum of weighted impulse sequences.

A. 2δ(n)+4δ(n-1)+3δ(n-3)
B. 2δ(n+1)+4δ(n)+3δ(n-2)
C. 2δ(n)+4δ(n-1)+3δ(n-2)
D. None of the mentioned
Answer» C. 2δ(n)+4δ(n-1)+3δ(n-2)
Discussion
11.

X(N)*‚ÂÀ√≠¬¨‚Ä¢(N-N0)=?$#

A. x(n+n<sub>0</sub>)
B. x(n-n<sub>0</sub>)
C. x(-n-n<sub>0</sub>)
D. x(-n+n<sub>0</sub>)
Answer» C. x(-n-n<sub>0</sub>)
Discussion
12.

AN_LTI_SYSTEM_IS_SAID_TO_BE_CAUSAL_IF_AND_ONLY_IF?$

A. Impulse response is non-zero for positive values of n
B. Impulse response is zero for positive values of n
C. Impulse response is non-zero for negative values of n
D. Impulse response is zero for negative values of n
Answer» E.
Discussion
13.

Is the system with impulse response h(n)=2nu(n-1) stable?$

A. True
B. False
Answer» C.
Discussion
14.

x(n)*[h1(n)+h2(n)]=x(n)*h1(n)+x(n)*h2(n?

A. True
B. False
Answer» B. False
Discussion
15.

Determine the impulse response for the cascade of two LTI systems having impulse responses h1(n)=(1/2)2 u(n) and h2(n)= (1/4)2 u(n).

A. (1/2)<sup>n</sup>[2-(1/2)<sup>n</sup>], n<0
B. (1/2)<sup>n</sup>[2-(1/2)<sup>n</sup>], n>0
C. (1/2)<sup>n</sup>[2+(1/2)<sup>n</sup>], n<0
D. (1/2)<sup>n</sup>[2+(1/2)<sup>n</sup>], n>0
Answer» C. (1/2)<sup>n</sup>[2+(1/2)<sup>n</sup>], n<0
Discussion
16.

x(n)*(h1(n)*h2(n))=(x(n)*h1(n))*h2(n)

A. True
B. False
Answer» B. False
Discussion
17.

Determine the output y(n) of a LTI system with impulse response h(n)=anu(n),|a|<1with the input sequence x(n)=u(n).

A. (1-a<sup>(n+1)</sup>)/(1-a)
B. (1-a<sup>(n-1)</sup>)/(1-a)
C. (1+a<sup>(n+1)</sup>)/(1+a)
D. None of the mentioned
Answer» B. (1-a<sup>(n-1)</sup>)/(1-a)
Discussion
18.

The impulse response of a LTI system is h(n)={1,1,1}. What is the response of the signal to the input x(n)={1,2,3}?

A. {1,3,6,3,1}
B. {1,2,3,2,1}
C. {1,3,6,5,3}
D. {1,1,1,0,0}
Answer» D. {1,1,1,0,0}
Discussion