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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) If x1(n)={1,2,3} and x2(n)={1,1,1}, then what is the convolution sequence of the given two signals?
[A] {1,2,3,1,1}
[B] {1,2,3,4,5}
[C] {1,3,5,6,2}
[D] {1,2,6,5,3}
Answer: {1,2,6,5,3}
(2) What are the values of z for which the value of X(z)=0?
[A] Poles
[B] Zeros
[C] Solutions
[D] None of the mentioned
Answer: Zeros

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(3) What are the values of z for which the value of X(z)=∞?
[A] Poles
[B] Zeros
[C] Solutions
[D] None of the mentioned
Answer: Poles
(4) If X(z) has M finite zeros and N finite poles, then which of the following condition is true?
[A] |N-M| poles at origin(if N>M)
[B] |N+M| zeros at origin(if N>M)
[C] |N+M| poles at origin(if N>M)
[D] |N-M| zeros at origin(if N>M)
Answer: |N-M| zeros at origin(if N>M)
(5) If the ROC of X(z) is r1<|z|<r2, then what is the ROC of X(a-1z)?
[A] |a|r1<|z|<|a|r2
[B] |a|r1>|z|>|a|r2
[C] |a|r1<|z|>|a|r2
[D] |a|r1>|z|<|a|r2
Answer: |a|r1<|z|<|a|r2
(6) Which of the following signals have a pole-zero plot as shown below?(Let M=8 in the figure)
[A]
x(n)=an, 0≤n≤8
    =0, elsewhere
[B]
x(n)=an, 0≤n≤7
    =0, elsewhere
[C]
x(n)=a-n, 0≤n≤8
    =0, elsewhere
[D]
x(n)=a-n, 0≤n≤7
    =0, elsewhere
Answer:
x(n)=an, 0≤n≤7
    =0, elsewhere
(7) The z-transform X(z) of the signal x(n)=anu(n) has:
[A] One pole at z=0 and one zero at z=a
[B] One pole at z=0 and one zero at z=0
[C] One pole at z=a and one zero at z=a
[D] One pole at z=a and one zero at z=0
Answer: One pole at z=a and one zero at z=0
(8) What is the nature of the signal whose pole-zero plot is as shown?

[A] Rising signal
[B] Constant signal
[C] Decaying signal
[D] None of the mentioned
Answer: Decaying signal
(9) What are the values of z for which the value of X(z)=0?
[A] Poles
[B] Zeros
[C] Solutions
[D] None of the mentioned
Answer: Zeros
(10) What is the unit sample response of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?
[A] 0.5(2)nu(n)
[B] 2(0.5)nu(n)
[C] 0.5(2)nu(-n)
[D] 2(0.5)nu(-n)
Answer: 2(0.5)nu(n)

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