Digital Signal Processing Questions and Answers | Digital Signal Processing MCQs

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Questions
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)
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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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