Digital Signal Processing Analysis Lti System Z Domain Online Exam Quiz

Digital Signal Processing Analysis Lti System Z Domain GK Quiz. Question and Answers related to Digital Signal Processing Analysis Lti System Z Domain. MCQ (Multiple Choice Questions with answers about Digital Signal Processing Analysis Lti System Z Domain

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(?n/4)u(n) and the system is initially at rest?

Options

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)

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A linear time invariant system is characterized by the system function H(z)=11?0.5z ?1 +21?3z ?1 . What is the h(n) if the system is anti causal?

Options

A : (0.5)nu(n)+2(3)nu(n)

B : (0.5)nu(-n-1)-2(3)nu(-n-1)

C : -[(0.5)n+2(3)n]u(-n-1)

D : (0.5)nu(n)-2(3)nu(-n-1)

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A linear time invariant system is characterized by the system function H(z)=11?0.5z ?1 +21?3z ?1 . What is the h(n) if the system is stable?

Options

A : (0.5)nu(n)-2(3)nu(n)

B : (0.5)nu(-n-1)-2(3)nu(-n-1)

C : (0.5)nu(-n-1)-2(3)nu(n)

D : (0.5)nu(n)-2(3)nu(-n-1)

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A linear time invariant system is characterized by the system function H(z)=11?0.5z ?1 +21?3z ?1 . What is the ROC of H(z) if the system is causal?

Options

A : |z|<3

B : |z|>3

C : |z|<0.5

D : |z|>0.5

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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(?n/4)u(n) and the system is initially at rest?

Options

A : 13.56cos(?n/4 -28.7o)

B : 13.56cos(?n/4 +28.7o)u(n)

C : 13.56cos(?n/4 -28.7o)u(n)

D : None of the mentioned

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A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function _____________

Options

A : Includes unit circle

B : Excludes unit circle

C : Is an unit circle

D : None of the mentioned

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If all the poles of H(z) are inside the unit circle, then the system is said to be ____________

Options

A : Only causal

B : Only BIBO stable

C : BIBO stable and causal

D : None of the mentioned

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If all the poles of H(z) are outside the unit circle, then the system is said to be _____________

Options

A : Only causal

B : Only BIBO stable

C : BIBO stable and causal

D : None of the mentioned

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If one or more poles are located near the unit circle, then the rate of decay of signal is _________

Options

A : Slow

B : Constant

C : Rapid

D : None of the mentioned

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If all the poles have small magnitudes, then the rate of decay of signal is __________

Options

A : Slow

B : Constant

C : Rapid

D : None of the mentioned

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