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) )?

y(n)=y(n-1)+ ( frac{1}{M+1} )[x(n)+x(n-1-M)]

y(n)=y(n-1)+ ( frac{1}{M+1} )[x(n)+x(n-1+M)]

y(n)=y(n-1)+ ( frac{1}{M+1} )[x(n)-x(n-1+M)]

y(n)=y(n-1)+ ( frac{1}{M+1} )[x(n)-x(n-1-M)]

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

y(n)= ( frac{1}{M+1} sum_{k=0}^M x(n+k) )

y(n)= ( frac{1}{M+1} sum_{k=0}^M x(n-k) )

y(n)= ( frac{1}{M+1} sum_{k=0}^M x(n+k) )

y(n)= ( frac{1}{M+1} sum_{k=0}^{ infty} x(n-k) )

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

y(n) = (a_0y(n)- sum_{k=1}^{N} a_k y(n-k) )

y(n) = ( sum_{k=0}^{M} b_k x(n-k) )

y(n) = (a_0y(n)- sum_{k=1}^{N} a_k y(n-k) )

y(n) = (- sum_{k=1}^{N} a_k y(n-k) )

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

y(n) = (- sum_{k=1}^{N} a_k y(n-k)+ sum_{k=0}^{M} b_k x(n-k) )

y(n) = ( sum_{k=1}^{N} a_k y(n-k)+ sum_{k=0}^{M} b_k x(n-k) )

y(n) = (- sum_{k=1}^{N} a_k y(n-k)- sum_{k=0}^{M} b_k x(n-k) )

y(n) = (- sum_{k=1}^{N} a_k y(n-k)+b_0x(n) )

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

Explore topic-wise MCQs in Digital Signal Processing.

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

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) )?

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

An FIR system is also called as recursive system .

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

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

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?