Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
1 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 in order and output is shuffled
2 FFT algorithm is designed to perform complex operations.
A True
B False

Answer:True
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3 If g(n) is a real valued sequence of 2N points and x1(n)=g(2n) and x2(n)=g(2n+1), then what is the value of G(k), k=0,1,2…N-1?
A X1(k)-W2kNX2(k)
B X1(k)+W2kNX2(k)
C X1(k)+W2kX2(k)
D X1(k)-W2kX2(k)

Answer:X1(k)+W2kNX2(k)<
4 If g(n) is a real valued sequence of 2N points and x1(n)=g(2n) and x2(n)=g(2n+1), then what is the value of G(k), k=N,N-1,…2N-1?
A X1(k)-W2kX2(k)
B X1(k)+W2kNX2(k)
C X1(k)+W2kX2(k)
D X1(k)-W2kNX2(k)

Answer:X1(k)-W2kNX2(k)
5 Decimation-in frequency FFT algorithm is used to compute H(k).
A True
B False

Answer:True
6 How many complex multiplications are need to be performed for each FFT algorithm?
A (N/2)logN
B Nlog2N
C (N/2)log2N
D None of the mentioned

Answer:(N/2)log2N
7 How many complex additions are required to be performed in linear filtering of a sequence using FFT algorithm?
A (N/2)logN
B 2Nlog2N
C (N/2)log2N
D Nlog2N

Answer:2Nlog2N
8 How many complex multiplication are required per output data point?
A [(N/2)logN]/L
B [Nlog22N]/L
C [(N/2)log2N]/L
D None of the mentioned

Answer:[Nlog22N]/L
9 If the desired number of values of the DFT is less than log2N, a direct computation of the desired values is more efficient than FFT algorithm.
A True
B False

Answer:True
10 What is the transform that is suitable for evaluating the z-transform of a set of data on a variety of contours in the z-plane?
A Goertzel Algorithm
B Fast Fourier transform
C Chirp-z transform
D None of the mentioned

Answer:Chirp-z transform

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