Question 1 : An IIR system with system function H(z)=(B(z))/(A(z)) is called a minimum phase if:
1. All poles and zeros are inside the unit circle
2. All zeros are outside the unit circle
3. All poles are outside the unit circle
4. All poles and zeros are outside the unit circle
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Question 2 : Which filter has a magnitude frequency response as shown in the plot given below?
1. Low pass Filter
2. High pass Filter
3. Band pass Filter
4. Band stop Filter
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Question 3 : 4. Which of the following relations are true if x(n) is real?
1. X(ω)=X(-ω)
2. X(ω)= -X(-ω)
3. X*(ω)=X(ω)
4. X*(ω)=X(-ω)
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Question 4 : What is the convolution of the sequences of x1(n)=x2(n)={1,1,1}?
1. {1,2,3,2,1}
2. {1,2,3,2,1}
3. {1,1,1,1,1}
4. {1,1,1,1,1}
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Question 5 : If the system gives an output y(n)=H(ω)x(n) with x(n)= Ae^jωnas input signal, then x(n) is said to be Eigen function of the system.
1. True
2. False
3.
4.
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Question 6 : Which of the following condition is to be satisfied for the Fourier transform of a sequence to be equal as the Z-transform of the same sequence?
1. |z|=1
2. |z|<1
3. |z|>1
4. Can never be equal
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Question 7 : What is the causal inverse of the FIR system with impulse response h(n)=δ(n)-aδ(n-1)?
1. δ(n)-aδ(n-1)
2. δ(n)+aδ(n-1)
3. a -n
4. an
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Question 8 : If h(n) is the impulse response of an LTI system T and h1(n) is the impulse response of the inverse system T-1, then which of the following is true?
1. [h(n)*h1(n)].x(n)=x(n)
2. [h(n).h1(n)].x(n)=x(n)
3. [h(n)*h1(n)]*x(n)=x(n)
4. [h(n).h1(n)]*x(n)=x(n)
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Question 9 : What is the energy density spectrum Sxx(ω) of the signal x(n)=aⁿu(n), |a|<1?
1. 1/(1+2acosω+a² )
2. 1/(1+2asinω+a² )
3. 1/(1-2asinω+a² )
4. 1/(1-2acosω+a² )
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Question 10 : What is the inverse of the system with impulse response h(n)= δ(n)-1/2 δ(n-1)?
1. (1/2)ⁿu(n)
2. -(1/2)ⁿu(-n-1)
3. (1/2)ⁿu(n) & -(1/2)ⁿu(-n-1)
4. None of the mentioned
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