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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(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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