Explore topic-wise MCQs in Digital Signal Processing.

This section includes 7 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.

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
2.

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
3.

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
4.

An FIR system is also called as recursive system .

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

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
6.

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
7.

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