Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
1 If x(n) and X(k) are an N-point DFT pair, then x(n+N)=x(n).
A True
B False

Answer:True
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

Answer:X(k)
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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

Answer:aX1(k)+bX2(k)
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}

Answer:{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

Answer:{14,16,14,16}
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.
A True
B False

Answer:True
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

Answer:X*(N-k)
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}

Answer:{1,4,9,11,8,3}
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}

Answer:{9,7,9,11}

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