Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
1 If we store the signal row wise and compute the L point DFT at each column, the resulting array must be multiplied by which of the following factors?
A WNlq
B WNpq
C WNlq
D WNpm

Answer:WNpm
2 If we split the N point data sequence into two N/2 point data sequences f1(n) and f2(n) corresponding to the even numbered and odd numbered samples of x(n), then such an FFT algorithm is known as decimation-in-time algorithm.
A True
B False

Answer:True
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3 If we split the N point data sequence into two N/2 point data sequences f1(n) and f2(n) corresponding to the even numbered and odd numbered samples of x(n) and F1(k) and F2(k) are the N/2 point DFTs of f1(k) and f2(k) respectively, then what is the N/2 point DFT X(k) of x(n)?
A F1(k)+F2(k)
B F1(k)-WNk F2(k)
C F1(k)+WNk F2(k)
D None of the mentioned

Answer:F1(k)+WNk F2(k)
4 If X(k) is the N/2 point DFT of the sequence x(n), then what is the value of X(k+N/2)?
A F1(k)+F2(k)
B F1(k)-WNk F2(k)
C F1(k)+WNk F2(k)
D None of the mentioned

Answer:F1(k)-WNk F2(k)
5 How many complex multiplications are required to compute X(k)?
A N(N+1)
B N(N-1)/2
C N2/2
D N(N+1)/2

Answer:N(N+1)/2
6 The total number of complex multiplications required to compute N point DFT by radix-2 FFT is?
A (N/2)log2N
B Nlog2N
C (N/2)logN
D None of the mentioned

Answer:(N/2)log2N
7 The total number of complex additions required to compute N point DFT by radix-2 FFT is?
A (N/2)log2N
B Nlog2N
C (N/2)logN
D None of the mentioned

Answer:Nlog2N
8 The following butterfly diagram is used in the computation of __________

Digital Signal Processing

A Decimation-in-time FFT
B Decimation-in-frequency FFT
C All of the mentioned
D None of the mentioned

Answer:Decimation-in-time FFT
9 For a decimation-in-time FFT algorithm, which of the following is true?
A Both input and output are in order
B Both input and output are shuffled
C Input is shuffled and output is in order
D Input is in order and output is shuffled

Answer:Input is shuffled and output is in order
10 The following butterfly diagram is used in the computation of __________

Digital Signal Processing

A Decimation-in-time FFT
B Decimation-in-frequency FFT
C All of the mentioned
D None of the mentioned

Answer:Decimation-in-frequency FFT

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