Explore topic-wise MCQs in Digital Signal Processing.

This section includes 12 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.

Which of the following is a recursive form of a non-recursive system described by the equation y(n)=\(\frac{1}{M+1} \sum_{k=0}^Mx(n-k)\)?

A. y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)+x(n-1-M)]
B. y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)+x(n-1+M)]
C. y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)-x(n-1+M)]
D. y(n)=y(n-1)+\(\frac{1}{M+1}\)[x(n)-x(n-1-M)]
Answer» E.
Discussion
2.

What is the form of the FIR system to compute the moving average of the signal x(n)?

A. y(n)=\(\frac{1}{M+1} \sum_{k=0}^M x(n-k)\)
B. y(n)=\(\frac{1}{M+1} \sum_{k=0}^M x(n+k)\)
C. y(n)=\(\frac{1}{M+1} \sum_{k=0}^{\infty} x(n-k)\)
D. None of the mentioned
Answer» B. y(n)=\(\frac{1}{M+1} \sum_{k=0}^M x(n+k)\)
Discussion
3.

An FIR system is also called as “recursive system”.

A. True
B. False
Answer» C.
Discussion
4.

The system represented by the following direct form structure is:

A. General second order system
B. Purely recursive system
C. Partial recursive system
D. FIR system
Answer» E.
Discussion
5.

What is the output of the system represented by the following direct form?

A. y(n)=-a1y(n-1)-a2y(n-2)- b0x(n)-b1x(n-1)-b2x(n-2)
B. y(n)=-a1y(n-1)-a2y(n-2)+b0x(n)
C. y(n)=-a1y(n-1)-a2y(n-2)+ b0x(n)+b1x(n-1)+b2x(n-2)
D. y(n)=a1y(n-1)+a2y(n-2)+ b0x(n)+b1x(n-1)+b2x(n-2)
Answer» D. y(n)=a1y(n-1)+a2y(n-2)+ b0x(n)+b1x(n-1)+b2x(n-2)
Discussion
6.

What is the system does the following direct form structure represents?

A. FIR system
B. Purely recursive system
C. General second order system
D. None of the mentioned
Answer» C. General second order system
Discussion
7.

Which of the following is the difference equation of a special case of FIR system?

A. y(n) = \(\sum_{k=0}^{M} b_k x(n-k)\)
B. y(n) = \(a_0y(n)-\sum_{k=1}^{N} a_k y(n-k)\)
C. y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)\)
D. None of the mentioned
Answer» B. y(n) = \(a_0y(n)-\sum_{k=1}^{N} a_k y(n-k)\)
Discussion
8.

Which of the following linear time invariant system is a purely recursive system?

A. y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+\sum_{k=0}^{M} b_k x(n-k)\)
B. y(n) = \(\sum_{k=1}^{N} a_k y(n-k)+\sum_{k=0}^{M} b_k x(n-k)\)
C. y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)-\sum_{k=0}^{M} b_k x(n-k)\)
D. y(n) = \(-\sum_{k=1}^{N} a_k y(n-k)+b_0x(n)\)
Answer» E.
Discussion
9.

To implement the linear time invariant recursive system described by the difference equation y(n)=\(-\sum_{k=1}^N a_k y(n-k)+\sum_{k=0}^M b_k x(n-k)\) in Direct form-I, how many number of delay elements and multipliers are required respectively?

A. M+N+1, M+N
B. M+N-1, M+N
C. M+N, M+N+1
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
10.

The system described by the equation y(n)=ay(n+1)+b x(n) is a recursive system.$

A. True
B. False
Answer» C.
Discussion
11.

An FIR system is also called as “recursive system”.$

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

The system described by the equation y(n)=ay(n-1)+b x(n) is a recursive system.

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