1
GATE ECE 2017 Set 2
+1
-0.3
The input x(t) and the output y(t) of a continuous time system are related as $$y\left( t \right) = \int\limits_{t - T}^t {x\left( u \right)du.}$$. The system is
A
Linear and time variant
B
linear and time invariant
C
non linear and time variant
D
nonlinear and time invariant
2
GATE ECE 2017 Set 1
+1
-0.3
Consider the following statements for continuous-time linear time invariant (LTI) system.

I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
II. There is no causal and BIBO stable system with a pole in the right half of the complex plane.

Which one among the following is correct?

A
Both $${\rm I}$$ and $${\rm I}{\rm I}$$ are true
B
Both $${\rm I}$$ and $${\rm I}{\rm I}$$ are not true
C
Only $${\rm I}$$ is true
D
Only $${\rm I}{\rm I}$$ is true
3
GATE ECE 2015 Set 3
+1
-0.3
The impulse response of an LTI system can be obtained by
A
differentiating the unit ramp response
B
differentiating the unit step response
C
integrating the unit ramp response
D
integrating the unit step response
4
GATE ECE 2015 Set 1
+1
-0.3
The result of the convolution $$x\left( { - t} \right) * \delta \left( { - t - {t_0}} \right)$$ is
A
$$x\left( {t + {t_0}} \right)\,$$
B
$$x\left( {t - {t_0}} \right)\,$$
C
$$x\left( { - t + {t_0}} \right)$$
D
$$\,x\left( { - t - {t_0}} \right)$$
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