Question 11 : For a signal x(n) to exhibit even symmetry, it should satisfy the condition | X(-ω)|=| X(ω)|.
1. True
2. False
3.
4.
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Question 12 : If the system has a impulse response as h(n)=Asin(n+1)ω₀u(n), then the system is known as Digital frequency synthesizer.
1. True
2. False
3.
4.
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Question 13 : Which of the following relation is true if the signal x(n) is real?
1. X*(ω)=X(ω)
2. X*(ω)=X(-ω)
3. X*(ω)= -X(ω)
4. None of the mentioned
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Question 14 : If the frequency response of an FIR system is given as H(z)=1-z^-1-z^-2, then the system is:
1. Minimum phase
2. Maximum phase
3. Mixed phase
4. None of the mentioned
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Question 15 : If x(n)=Ae^jωn is the input of an LTI system and h(n) is the response of the system, then what is the output y(n) of the system?
1. H(-ω)x(n)
2. -H(ω)x(n)
3. H(ω)x(n)
4. None of the mentioned
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Question 16 : If the frequency response of an FIR system is given as H(z)=6+z^-1-z^-2, then the system is:
1. Minimum phase
2. Maximum phase
3. Mixed phase
4. None of the mentioned
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Question 17 : A causal system produces the output sequence y(n)={1,0.7} when excited by the input sequence x(n)={1,-0.7,0.1}, then what is the impulse response of the system function?
1. [3(0.5)ⁿ+4(0.2)ⁿ]u(n)
2. [4(0.5)ⁿ-3(0.2)ⁿ]u(n)
3. [4(0.5)ⁿ+3(0.2)ⁿ]u(n)
4. None of the mentioned
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Question 18 : What is the frequency range(in Hz) of Electroencephalogram(EEG)?
1. 10-40
2. 1000-2000
3. 0-100
4. None of the mentioned
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Question 19 : What is the inverse of the system with impulse response h(n)=(1/2)nu(n)?
1. δ(n)+1/2 δ(n-1)
2. δ(n)-1/2 δ(n-1)
3. δ(n)-1/2 δ(n+1)
4. δ(n)+1/2 δ(n+1)
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Question 20 : If the frequency response of an FIR system is given as H(z)=1-5/2z^-1-3/2z^-2, then the system is:
1. Minimum phase
2. Maximum phase
3. Mixed phase
4. None of the mentioned
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