Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
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?

Digital Signal Processing

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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