Explore topic-wise MCQs in Digital Signal Processing.

This section includes 6 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.

How many complex additions are performed in computing the N-point DFT of a sequence using divide-and-conquer method if N=LM?

A. N(L+M+2)
B. N(L+M-2)
C. N(L+M-1)
D. N(L+M+1)
Answer» C. N(L+M-1)
Discussion
2.

How many complex multiplications are performed in computing the N-point DFT of a sequence using divide-and-conquer method if N=LM?

A. N(L+M+2)
B. N(L+M-2)
C. N(L+M-1)
D. N(L+M+1)
Answer» E.
Discussion
3.

The computation of XR(k) for a complex valued x(n) of N points requires _____________

A. 2N<sup>2</sup> evaluations of trigonometric functions
B. 4N<sup>2</sup> real multiplications
C. 4N(N-1) real additions
D. All of the mentioned
Answer» E.
Discussion
4.

What is the real part of the N point DFT XR(k) of a complex valued sequence x(n)?

A. ( sum_{n=0}^{N-1} [x_R (n) cos u2061 frac{2 kn}{N} x_I (n) sin u2061 frac{2 kn}{N}] )
B. ( sum_{n=0}^{N-1} [x_R (n) sin u2061 frac{2 kn}{N} + x_I (n) cos u2061 frac{2 kn}{N}] )
C. ( sum_{n=0}^{N-1} [x_R (n) cos u2061 frac{2 kn}{N} + x_I (n) sin u2061 frac{2 kn}{N}] )
D. None of the mentioned
Answer» D. None of the mentioned
Discussion
5.

WNk+N/2=?

A. W<sub>N</sub><sup>k</sup>
B. -W<sub>N</sub><sup>k</sup>
C. W<sub>N</sub><sup>-k</sup>
D. None of the mentioned
Answer» C. W<sub>N</sub><sup>-k</sup>
Discussion
6.

Which of the following is true regarding the number of computations required to compute DFT at any one value of k ?

A. 4N-2 real multiplications and 4N real additions
B. 4N real multiplications and 4N-4 real additions
C. 4N-2 real multiplications and 4N+2 real additions
D. 4N real multiplications and 4N-2 real additions
Answer» E.
Discussion