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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)
If x(n) and X(k) are an N-point DFT pair, then x(n+N)=x(n).
(2)
If x(n) and X(k) are an N-point DFT pair, then X(k+N)=?
[A]
X(-k)
[B]
-X(k)
[C]
X(k)
[D]
None of the mentioned
(3)
If X1(k) and X2(k) are the N-point DFTs of X1(n) and x2(n) respectively, then what is the N-point DFT of x(n)=ax1(n)+bx2(n)?
[A]
X1(ak)+X2(bk)
[B]
aX1(k)+bX2(k)
[C]
eakX1(k)+ebkX2(k)
[D]
None of the mentioned
(4)
If x(n) is a real sequence and X(k) is its N-point DFT, then which of the following is true?
[A]
X(N-k)=X(-k)
[B]
X(N-k)=X*(k)
[C]
X(-k)=X*(k)
[D]
All of the mentioned
Answer: All of the mentioned
(5)
What is the circular convolution of the sequences X1(n)={2,1,2,1} and x2(n)={1,2,3,4}?
[A]
{14,14,16,16}
[B]
{16,16,14,14}
[C]
{2,3,6,4}
[D]
{14,16,14,16}
(6)
What is the circular convolution of the sequences X1(n)={2,1,2,1} and x2(n)={1,2,3,4}, find using the DFT and IDFT concepts?
[A]
{16,16,14,14}
[B]
{14,16,14,16}
[C]
{14,14,16,16}
[D]
None of the mentioned
(7)
If X(k) is the N-point DFT of a sequence x(n), then circular time shift property is that N-point DFT of x((n-l))N is X(k)e-j2πkl/N.
(8)
If X(k) is the N-point DFT of a sequence x(n), then what is the DFT of x*(n)?
[A]
X(N-k)
[B]
X*(k)
[C]
X*(N-k)
[D]
None of the mentioned
(9)
By means of the DFT and IDFT, determine the response of the FIR filter with impulse response h(n)={1,2,3} to the input sequence x(n)={1,2,2,1}?
[A]
{1,4,11,9,8,3}
[B]
{1,4,9,11,8,3}
[C]
{1,4,9,11,3,8}
[D]
{1,4,9,3,8,11}
(10)
What is the sequence y(n) that results from the use of four point DFTs if the impulse response is h(n)={1,2,3} and the input sequence x(n)={1,2,2,1}?
[A]
{9,9,7,11}
[B]
{1,4,9,11,8,3}
[C]
{7,9,7,11}
[D]
{9,7,9,11}
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