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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) The lower and upper limits on the convolution sum reflect the causality and finite duration characteristics of the filter.
[A] True
[B] False
Answer: True
(2) Which of the following condition should the unit sample response of a FIR filter satisfy to have a linear phase?
[A] h(M-1-n) n=0,1,2…M-1
[B] ±h(M-1-n) n=0,1,2…M-1
[C] -h(M-1-n) n=0,1,2…M-1
[D] None of the mentioned
Answer: ±h(M-1-n) n=0,1,2…M-1

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(3) If H(z) is the z-transform of the impulse response of an FIR filter, then which of the following relation is true?
[A] zM+1.H(z-1)=±H(z)
[B] z-(M+1).H(z-1)=±H(z)
[C] z(M-1).H(z-1)=±H(z)
[D] z-(M-1).H(z-1)=±H(z)
Answer: z-(M-1).H(z-1)=±H(z)
(4) The roots of the polynomial H(z) are identical to the roots of the polynomial H(z-1).
[A] True
[B] False
Answer: True
(5) The roots of the equation H(z) must occur in ________________
[A] Identical
[B] Zero
[C] Reciprocal pairs
[D] Conjugate pairs
Answer: Reciprocal pairs
(6) If the unit sample response h(n) of the filter is real, complex valued roots need not occur in complex conjugate pairs.
[A] True
[B] False
Answer: False
(7) What is the value of h(M-1/2) if the unit sample response is anti-symmetric?
[A] 0
[B] 1
[C] -1
[D] None of the mentioned
Answer: 0
(8) What is the number of filter coefficients that specify the frequency response for h(n) symmetric?
[A] (M-1)/2 when M is odd and M/2 when M is even
[B] (M-1)/2 when M is even and M/2 when M is odd
[C] (M+1)/2 when M is even and M/2 when M is odd
[D] (M+1)/2 when M is odd and M/2 when M is even
Answer: (M+1)/2 when M is odd and M/2 when M is even
(9) What is the number of filter coefficients that specify the frequency response for h(n) anti-symmetric?
[A] (M-1)/2 when M is even and M/2 when M is odd
[B] (M-1)/2 when M is odd and M/2 when M is even
[C] (M+1)/2 when M is even and M/2 when M is odd
[D] (M+1)/2 when M is odd and M/2 when M is even
Answer: (M-1)/2 when M is odd and M/2 when M is even
(10) Which of the following is not suitable either as low pass or a high pass filter?
[A] h(n) symmetric and M odd
[B] h(n) symmetric and M even
[C] h(n) anti-symmetric and M odd
[D] h(n) anti-symmetric and M even
Answer: h(n) anti-symmetric and M odd

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