Explore topic-wise MCQs in Digital Signal Processing.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.

1.

If W4100=Wx200, then what is the value of x?

A. 2
B. 4
C. 8
D. 16
Answer» D. 16
Discussion
2.

If X(k) is the N point DFT of a sequence whose Fourier series coefficients is given by ck, then which of the following is true?

A. X(k)=Nck
B. X(k)=ck/N
C. X(k)=N/ck
D. None of the mentioned
Answer» B. X(k)=ck/N
Discussion
3.

The Nth rot of unity WN is given as ______________

A. ej2πN
B. e-j2πN
C. e-j2π/N
D. ej2π/N
Answer» D. ej2π/N
Discussion
4.

A finite duration sequence of length L is given as x(n)=1 for 0≤n≤L-1 = 0 otherwise, then what is the N point DFT of this sequence for N=L?

A. X(k) = L for k=0, 1, 2….L-1
B. d) None of the mentionedView Answer
C.
Answer» C.
Discussion
5.

If X(k) discrete Fourier transform of x(n), then the inverse discrete Fourier transform of X(k) is?

A. \(\frac{1}{N} \sum_{k=0}^{N-1}X(k)e^{-j2πkn/N}\)
B. \(\sum_{k=0}^{N-1}X(k)e^{-j2πkn/N}\)
C. \(\sum_{k=0}^{N-1}X(k)e^{j2πkn/N}\)
D. \(\frac{1}{N} \sum_{k=0}^{N-1}X(k)e^{j2πkn/N}\)
Answer» E.
Discussion
6.

If x(n) is a finite duration sequence of length L, then the discrete Fourier transform X(k) of x(n) is given as ____________

A. \(\sum_{n=0}^{N-1}x(n)e^{-j2πkn/N}\)(L<N)(k=0,1,2…N-1)
B. \(\sum_{n=0}^{N-1}x(n)e^{j2πkn/N}\)(L<N)(k=0,1,2…N-1)
C. \(\sum_{n=0}^{N-1}x(n)e^{j2πkn/N}\)(L>N)(k=0,1,2…N-1)
D. \(\sum_{n=0}^{N-1}x(n)e^{-j2πkn/N}\)(L>N)(k=0,1,2…N-1)
Answer» B. \(\sum_{n=0}^{N-1}x(n)e^{j2πkn/N}\)(L<N)(k=0,1,2…N-1)
Discussion
7.

WHAT_IS_THE_DFT_OF_THE_FOUR_POINT_SEQUENCE_X(N)={0,1,2,3}??$

A. {6,-2+2j-2,-2-2j}
B. {6,-2-2j,2,-2+2j}
C. {6,-2-2j,-2,-2+2j}
D. {6,-2+2j,-2,-2-2j}
Answer» E.
Discussion
8.

If W4100=Wx200, then what is the value of x?$

A. 2
B. 4
C. 8
D. 16
Answer» D. 16
Discussion
9.

If X(k) is the N point DFT of a sequence whose Fourier series coefficients is given by ck, then which of the following is true?

A. X(k)=Nc<sub>k</sub>
B. X(k)=c<sub>k</sub>/N
C. X(k)=N/c<sub>k</sub>
D. None of the mentioned
Answer» B. X(k)=c<sub>k</sub>/N
Discussion
10.

What is the DFT of the four point sequence x(n)={0,1,2,3}?

A. {6,-2+2j-2,-2-2j}
B. {6,-2-2j,2,-2+2j}
C. {6,-2+2j,-2,-2-2j}
D. {6,-2-2j,-2,-2+2j}
Answer» D. {6,-2-2j,-2,-2+2j}
Discussion
11.

Which of the following is true regarding the number of computations requires to compute an N-point DFT?

A. N<sup>2</sup> complex multiplications and N(N-1) complex additions
B. N<sup>2</sup> complex additions and N(N-1) complex multiplications
C. N<sup>2</sup> complex multiplications and N(N+1) complex additions
D. N<sup>2</sup> complex additions and N(N+1) complex multiplications
Answer» B. N<sup>2</sup> complex additions and N(N-1) complex multiplications
Discussion
12.

The Nth rot of unity WN is given as:

A. e<sup>j2πN</sup>
B. e <sup>-j2πN</sup>
C. e<sup>-j2π/N</sup>
D. e<sup>j2π/N</sup>
Answer» D. e<sup>j2‚âà√¨‚àö√ë/N</sup>
Discussion
13.

A finite duration sequence of length L is given as x(n) =1 for 0≤n≤L-1=0 otherwise , then what is the N point DFT of this sequence for N=L?$

A. X(k) =L for k=0, 1,2….L-1
B. X(k) =L for k=0
C.
Answer» C.
Discussion