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Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

Free download in PDF Digital Signal Processing Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams like UPSC, NDA, SSC etc. These short solved questions or quizzes are provided by Gkseries./p>

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(1) What is the transient response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest?
[A] (0.5)nu(n)
[B] 0.5(6.3)nu(n)
[C] 6.3(0.5)n
[D] 6.3(0.5)nu(n)
Answer: 6.3(0.5)nu(n)
(2) What is the steady-state response of the system described by the difference equation y(n)=0.5y(n-1)+x(n) when the input signal is x(n)= 10cos(πn/4)u(n) and the system is initially at rest?
[A] 13.56cos(πn/4 -28.7o)
[B] 13.56cos(πn/4 +28.7o)u(n)
[C] 13.56cos(πn/4 -28.7o)u(n)
[D] None of the mentioned
Answer: 13.56cos(πn/4 -28.7o)u(n)
(3) If the ROC of the system function is the exterior of a circle of radius r < ∞, including the point z = ∞, then the system is said to be ___________
[A] Stable
[B] Causal
[C] Anti causal
[D] None of the mentioned
Answer: Causal
(4) A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function _____________
[A] Includes unit circle
[B] Excludes unit circle
[C] Is an unit circle
[D] None of the mentioned
Answer: Includes unit circle
(5) If all the poles of H(z) are inside the unit circle, then the system is said to be ____________
[A] Only causal
[B] Only BIBO stable
[C] BIBO stable and causal
[D] None of the mentioned
Answer: BIBO stable and causal
(6) Which of the following is a Dirichlet condition with respect to the signal x(t)?
[A] x(t) has a finite number of discontinuities in any period
[B] x(t) has finite number of maxima and minima during any period
[C] x(t) is absolutely integrable in any period
[D] all of the mentioned
Answer: all of the mentioned
(7) What is the spectrum that is obtained when we plot |ck |2 as a function of frequencies kF0, k=0,±1,±2..?
[A] Average power spectrum
[B] Energy spectrum
[C] Power density spectrum
[D] None of the mentioned
Answer: Power density spectrum
(8) What is the spectrum that is obtained when we plot |ck| as a function of frequency?
[A] Magnitude voltage spectrum
[B] Phase spectrum
[C] Power spectrum
[D] None of the mentioned
Answer: Magnitude voltage spectrum
(9) Which of the following relation is correct between Fourier transform X(F) and Fourier series coefficient ck?
[A] ck=X(F0/k) 
[B] ck= 1/TP (X(F0/k))
[C] ck= 1/TP(X(kF0))
[D] none of the mentioned
Answer: ck= 1/TP(X(kF0))
(10) The Fourier series for the signal x(n)=cos√2πn exists.
[A] True
[B] False
Answer: False
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