Digital Signal Processing Interview Questions and Answers | Digital Signal Processing MCQs

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Questions
1 What is the ROC of a causal infinite length sequence?
A |z|< r1
B |z|> r1
C r2< |z|< r1
D None of the mentioned

Answer:|z|> r1
2 Which of the following justifies the linearity property of z-transform?[x(n)↔X(z)].
A x(n)+y(n) ↔ X(z)Y(z)
B x(n)+y(n) ↔ X(z)+Y(z)
C x(n)y(n) ↔ X(z)+Y(z)
D x(n)y(n) ↔ X(z)Y(z)

Answer:x(n)+y(n) ↔ X(z)+Y(z)
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3 According to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is the z-transform of x(n-k)?
A zkX(z)
B z-kX(z)
C X(z-k)
D X(z+k)

Answer:z-kX(z)
4 If X(z) is the z-transform of the signal x(n) then what is the z-transform of anx(n)?
A X(az)
B X(az-1)
C X(a-1z)
D None of the mentioned

Answer:X(a-1z)
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 If X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal x(-n)?
A X(-z)
B X(z-1)
C X-1(z)
D None of the mentioned

Answer:X(z-1)
7 If Z{x1(n)}=X1(z) and Z{x2(n)}=X2(z) then Z{x1(n)*x2(n)}=?
A X1(z).X2(z)
B X1(z)+X2(z)
C X1(z)*X2(z)
D None of the mentioned

Answer:X1(z).X2(z)
8 What is the convolution x(n) of the signals x1(n)={1,-2,1} and x2(n)={1,1,1,1,1,1}?
A {1,1,0,0,0,0,1,1}
B {-1,-1,0,0,0,0,-1,-1}
C {-1,1,0,0,0,0,1,-1}
D {1,-1,0,0,0,0,-1,1}

Answer:{1,-1,0,0,0,0,-1,1}
9 If Z{x1(n)}=X1(z) and Z{x2(n)}=X2(z) then what is the z-transform of correlation between the two signals?
A X1(z).X2(z-1)
B X1(z).X2(z-1)
C X1(z).X2(z)
D X1(z).X2(-z)

Answer:X1(z).X2(z-1)
10 If x(n) is causal, then limz→∞ X(z)=?
A x(-1)
B x(1)
C x(0)
D Cannot be determined

Answer:x(0)

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