This set of Digital Signal Processing Multiple Choice Questions & Answers (MCQs) focuses on βImplementation of Discrete Time Systemsβ.

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

b) False

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

a) y(n) = ββππ=1πππ¦(πβπ)+βππ=0πππ₯(πβπ)

b) y(n) = βππ=1πππ¦(πβπ)+βππ=0πππ₯(πβπ)**c) y(n) = ββππ=1πππ¦(πβπ)ββππ=0πππ₯(πβπ)**

d) y(n) = ββππ=1πππ¦(πβπ)+π0π₯(π)

3. To implement the linear time-invariant recursive system described by the difference equation y(n)=ββππ=1πππ¦(πβπ)+βππ=0πππ₯(πβπ) in Direct form-I, how many a 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

4. An FIR system is also called as βrecursive systemβ.

a) True

b) False

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

a) y(n)=-a_{1}y(n-1)-a_{2}y(n-2)- b_{0}x(n)-b_{1}x(n-1)-b_{2}x(n-2)

b) y(n)=-a_{1}y(n-1)-a_{2}y(n-2)+b_{0}x(n)

c) y(n)=-a_{1}y(n-1)-a_{2}y(n-2)+ b_{0}x(n)+b_{1}x(n-1)+b_{2}x(n-2)

d) y(n)=a_{1}y(n-1)+a_{2}y(n-2)+ b_{0}x(n)+b_{1}x(n-1)+b_{2}x(n-2)

6. What is 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

7. 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

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

a) y(n) = βππ=0πππ₯(πβπ)

b) y(n) = π0π¦(π)ββππ=1πππ¦(πβπ)

c) y(n) = ββππ=1πππ¦(πβπ)

d) None of the mentioned

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

a) y(n)=1π+1βππ=0π₯(πβπ)

b) y(n)=1π+1βππ=0π₯(π+π)

c) y(n)=1π+1ββπ=0π₯(πβπ)

d) None of the mentioned

10. Which of the following is a recursive form of a non-recursive system described by the equation y(n)=1π+1βππ=0π₯(πβπ)?

a) y(n)=y(n-1)+1π+1[x(n)+x(n-1-M)]

b) y(n)=y(n-1)+1π+1[x(n)+x(n-1+M)]

c) y(n)=y(n-1)+1π+1[x(n)-x(n-1+M)]

d) y(n)=y(n-1)+1π+1[x(n)-x(n-1-M)]

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

a) True

b) False

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