Question 1 : The odd part of a signal x(t) is:
1. x(t)+x(-t)
2. x(t)-x(-t)
3. (1/2)*(x(t)+x(-t))
4. (1/2)*(x(t)-x(-t))
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Question 2 : x(n)*δ(n-n₀)=
1. x(n+n₀)
2. x(n-n₀)
3. x(-n-n₀)
4. x(-n+n₀)
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Question 3 : Is the system with impulse response h(n)=2ⁿu(n-1) stable?
1. True
2. False
3.
4.
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Question 4 : What is the output y(n) when a signal x(n)=n*u(n)is passed through a accumulator system under the conditions that it is initially relaxed?
1. (n²+n+1)/2
2. (n(n+1))/2
3. (n²+n+2)/2
4. None of the mentioned
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Question 5 : Time scaling operation is also known as:
1. Down-sampling
2. Up-sampling
3. Sampling
4. None of the mentioned
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Question 6 : If the output of the system of the system at any 'n' depends only the present or the past values of the inputs then the system is said to be:
1. Linear
2. Non-Linear
3. Causal
4. Non-causal
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Question 7 : The system described by the input-output equation y(n)=nx(n)+bx³(n) is a:
1. Static system
2. Dynamic system
3. Identical system
4. None of the mentioned
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Question 8 : Determine the output y(n) of a LTI system with impulse response h(n)=aⁿu(n),|a|<1with the input sequence x(n)=u(n).
1. (1-a⁽ⁿ⁺¹⁾)/(1-a)
2. (1-a^(n-1))/(1-a)c) (1+a⁽ⁿ⁺¹⁾)/(1+a)d) None of the mentioned
3.
4.
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Question 9 : If a system do not have a bounded output for bounded input, then the system is said to be:
1. Causal
2. Non-causal
3. Stable
4. Non-stable
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Question 10 : The impulse response of a LTI system is h(n)={1,1,1}. What is the response of the signal to the input x(n)={1,2,3}?
1. {1,3,6,3,1}
2. {1,2,3,2,1}
3. {1,3,6,5,3}
4. {1,1,1,0,0}
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