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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. | |
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)=\(\frac{1}{M+1} \sum_{k=0}^M x(n+k)\) | |
3. |
An FIR system is also called as “recursive system”. |
A. | True |
B. | False |
Answer» C. | |
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. | |
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) | |
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 | |
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) = \(a_0y(n)-\sum_{k=1}^{N} a_k y(n-k)\) | |
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. | |
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 | |
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. | |
11. |
An FIR system is also called as “recursive system”.$ |
A. | True |
B. | False |
Answer» C. | |
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 | |