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Free download in PDF Digital Signal Processing Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams like UPSC, NDA, SSC etc. These short solved questions or quizzes are provided by Gkseries./p>
(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
(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)
(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)
(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
(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
(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
(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
(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)
(10)
If x(n) is causal, then limz→∞ X(z)=?
[A]
x(-1)
[B]
x(1)
[C]
x(0)
[D]
Cannot be determined
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