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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

(1) If an LTI system is described by the difference equation y(n)=ay(n-1)+bx(n), 0 < a < 1, then what is the parameter ‘b’ so that the maximum value of |H(ω)| is unity?
[A] a
[B] 1-a
[C] 1+a
[D] none of the mentioned
Answer: 1-a
(2) The output of the Linear time invariant system cannot contain the frequency components that are not contained in the input signal.
[A] True
[B] False
Answer: True

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(3) An ideal filter should have unity gain in their stop band.
[A] True
[B] False
Answer: False
(4) Which filter has a magnitude frequency response as shown in the plot given below?

[A] Low pass Filter
[B] High pass Filter
[C] Band pass Filter
[D] Band stop Filter
Answer: Band stop Filter
(5) An ideal filter should have zero gain in their stop band.
[A] True
[B] False
Answer: True
(6) The ‘Envelope delay’ or ‘Group delay’ is the time delay that the signal component of frequency ω undergoes as it passes from the input to the output of the system.
[A] True
[B] False
Answer: True
(7) If the phase ϴ(ω) of the system is linear, then the group delay of the system?
[A] Increases with frequency of signal
[B] Constant
[C] Decreases with frequency of signal
[D] Independent of frequency of signal
Answer: Constant
(8) If hlp(n) denotes the impulse response of a low pass filter with frequency response Hlp(ω), then what is the frequency response of the high pass filter in terms of Hlp(ω)?
[A] Hlp(ω-π/2)
[B] Hlp(ω+π/2)
[C] Hlp(ω-π)
[D] Hlp(ω+π)
Answer: Hlp(ω-π)
(9) If the low pass filter described by the difference equation y(n)=0.9y(n-1)+0.1x(n) is converted into a high pass filter, then what is the frequency response of the high pass filter?
[A] 0.1/(1+0.9e)
[B] 0.1/(1+0.9e-jω)
[C] 0.1/(1-0.9e)
[D] None of the mentioned
Answer: 0.1/(1+0.9e-jω)
(10) A digital resonator is a special two pole band pass filter with the pair of complex conjugate poles located near the unit circle.
[A] True
[B] False
Answer: True

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