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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) If yk(n) is the convolution of the finite duration input sequence x(n) of length N, then what is the impulse response of the filter?
[A] WN-kn
[B] WN-kn u(n)
[C] WNkn u(n)
[D] None of the mentioned
Answer: WN-kn u(n)
(2) What is the expression to compute yk(n) recursively?
[A] yk(n)=WN-kyk(n+1)+x(n)
[B] yk(n)=WN-kyk(n-1)+x(n)
[C] yk(n)=WNkyk(n+1)+x(n)
[D] None of the mentioned
Answer: yk(n)=WN-kyk(n-1)+x(n)

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(3) If the contour is a circle of radius r and the zk are N equally spaced points, then what is the value of zk?
[A] re-j2πkn/N
[B] rejπkn/N
[C] rej2πkn
[D] rej2πkn/N
Answer: rej2πkn/N
(4) How many multiplications are required to calculate X(k) by chirp-z transform if x(n) is of length N?
[A] N-1
[B] N
[C] N+1
[D] None of the mentioned
Answer: N+1
(5) If the contour on which the z-transform is evaluated is as shown below, then which of the given condition is true?

[A] R0>1
[B] R0<1
[C] R0=1
[D] None of the mentioned
Answer: R0>1
(6) How many complex multiplications are need to be performed to calculate chirp z-transform?(M=N+L-1)
[A] log2M
[B] Mlog2M
[C] (M-1)log2M
[D] Mlog2(M-1)
Answer: Mlog2M
(7) The effect of round off errors due to the multiplications performed in the DFT with fixed point arithmetic is known as Quantization error.
[A] True
[B] False
Answer: True
(8) What is the model that has been adopt for characterizing round of errors in multiplication?
[A] Multiplicative white noise model
[B] Subtractive white noise model
[C] Additive white noise model
[D] None of the mentioned
Answer: Additive white noise model
(9) How many quantization errors are present in one complex valued multiplication?
[A] One
[B] Two
[C] Three
[D] Four
Answer: Four
(10) What is the total number of quantization errors in the computation of single point DFT of a sequence of length N?
[A] 2N
[B] 4N
[C] 8N
[D] 12N
Answer: 4N

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