Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
1 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:4N real multiplications and 4N-2 real additions
2 WNk+N/2=?
A WNk
B -WNk
C WN-k
D None of the mentioned

Answer:-WNk
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3 The computation of XR(k) for a complex valued x(n) of N points requires _____________
A 2N2 evaluations of trigonometric functions
B 4N2 real multiplications
C 4N(N-1) real additions
D All of the mentioned

Answer:All of the mentioned
4 Divide-and-conquer approach is based on the decomposition of an N-point DFT into successively smaller DFTs. This basic approach leads to FFT algorithms.
A True
B False

Answer:True
5 If the arrangement is of the form in which the first row consists of the first M elements of x(n), the second row consists of the next M elements of x(n), and so on, then which of the following mapping represents the above arrangement?
A n=l+mL
B n=Ml+m
C n=ML+l
D none of the mentioned

Answer:n=Ml+m
6 If N=LM, then what is the value of WNmqL?
A WMmq
B WLmq
C WNmq
D None of the mentioned

Answer:WMmq
7 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:N(L+M+1)
8 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:N(L+M-2)
9 Which is the correct order of the following steps to be done in one of the algorithm of divide and conquer method?

i) Store the signal column wise

ii) Compute the M-point DFT of each row

iii) Multiply the resulting array by the phase factors WNlq.

iv) Compute the L-point DFT of each column.

v) Read the result array row wise.

A i-ii-iv-iii-v
B i-iii-ii-iv-v
C i-ii-iii-iv-v
D i-iv-iii-ii-v

Answer:i-ii-iii-iv-v
10 If we store the signal row wise then the result must be read column wise.
A True
B False

Answer:True

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