ISRO EC 2018:Signal & System Booster Quiz 3

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Question 1

The Hilbert transform of x(t)=e^j2πft is

• A
• B
• C
• D

Question 2

The transfer function of a discrete time LTI system is given by

Consider the following statements:
S1: The system is stable and causal for
ROC : |z| > 1/2
S2: The system is stable but not causal for
ROC: |z| < 1/4
S3: The system is neither stable nor causal for
ROC: 1/4 <|z|< 1/2
Which one of the following statements is valid?

• ABoth S₁ and S₂ are true
• BBoth S₂ and S₃ are true
• CBoth S₁ and S₃ are true
• DS₁, S₂ and S₃ are all true

Question 3

The differential equation describe as system with an input x(t) and an output y(t). The system which is initially relaxed, is excited by a unit step input. The output y(t) can be represented by the waveform

• A
• B
• C
• D

Question 4

The driving point impedance of a network has the pole–zero locations as shown in figure. If is

• A
• B
• C
• D

Question 5

The impulse response of an LTI system can be obtained by

• Adifferentiating the unit ramp response
• Bdifferentiating the unit step response
• Cintegrating the unit ramp response
• Dintegrating the unit step response

Question 6

For a periodic signal
, the fundamental frequency in rad/s

• A100
• B300
• C500
• D1500

Question 7

The impulse response of a continuous time system is given by . The value of the step response at t = 2 is

• A0
• B1
• C2
• D3

Question 8

A continuous-time filter with transfer function is converted to a discrete time filter with transfer function so that the impulse response of the continuous-time filter, sampled at 2 Hz, is identical at the sampling instants to the impulse response of the discrete time filter. The value of k is______

• A0.0497
• B1.0245
• C2
• Dnone of these

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