Question 1 : According to Time shifting property of z-transform, if X(z) is the z-transform of x(n) then what is the z-transform of x(n-k)?
1. z^kX(z)
2. z^-kX(z)
3. X(z-k)
4. X(z+k)
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Question 2 : If one or more poles are located near the unit circle , then the rate of decay of signal is:
1. Slow
2. Constant
3. Rapid
4. None of the mentioned
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Question 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:
1. Stable
2. Causal
3. Anti causal
4. None of the mentioned
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Question 4 : If all the poles have small magnitudes, then the rate of decay of signal is:
1. Slow
2. Constant
3. Rapid
4. None of the mentioned
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Question 5 : Which of the following has to be performed in sampling rate conversion by rational factor?
1. Interpolation
2. Decimation
3. Either interpolation or decimation
4. None of the mentioned
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Question 6 : Which of the following is true regarding the number of computations requires to compute an N-point DFT?
1. N² complex multiplications and N(N-1) complex additions
2. N² complex additions and N(N-1) complex multiplications
3. N² complex multiplications and N(N+1) complex additions
4. N² complex additions and N(N+1) complex multiplications
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Question 7 : A linear time invariant system is said to be BIBO stable if and only if the ROC of the system function:
1. Includes unit circle
2. Excludes unit circle
3. Is an unit circle
4. None of the mentioned
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Question 8 : 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?
1. 13.56cos(πn/4 -28.7^o)
2. 13.56cos(πn/4 +28.7^o)u(n)
3. 13.56cos(πn/4 -28.7^o)u(n)
4. None of the mentioned
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Question 9 : If X(z) has M finite zeros and N finite poles, then which of the following condition is true?
1. |N-M| poles at origin(if N>M)
2. |N+M| zeros at origin(if N>M)
3. |N+M| poles at origin(if N>M)
4. |N-M| zeros at origin(if N>M)
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Question 10 : What is the one sided z-transform of x(n)=δ(n+k)?
1. z^-k
2. 0
3. z^k
4. 1
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