GATE ECE 2017 Set 1 | Continuous Time Linear Invariant System Question 2 | Signals and Systems

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?

Both $${\rm I}$$ and $${\rm I}{\rm I}$$ are true

Both $${\rm I}$$ and $${\rm I}{\rm I}$$ are not true

Only $${\rm I}$$ is true

Only $${\rm I}{\rm I}$$ is true

GATE ECE 2017 Set 2

MCQ (Single Correct Answer)

-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

Linear and time variant

linear and time invariant

non linear and time variant

nonlinear and time invariant

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

The result of the convolution $$x\left( { - t} \right) * \delta \left( { - t - {t_0}} \right)$$ is

$$x\left( {t + {t_0}} \right)\,$$

$$x\left( {t - {t_0}} \right)\,$$

$$x\left( { - t + {t_0}} \right)$$

$$\,x\left( { - t - {t_0}} \right)$$

GATE ECE 2015 Set 3

MCQ (Single Correct Answer)

-0.3

The impulse response of an LTI system can be obtained by

differentiating the unit ramp response

differentiating the unit step response

integrating the unit ramp response

integrating the unit step response

Questions Asked from Marks 1

GATE ECE 2017 Set 1 (1) GATE ECE 2017 Set 2 (1) GATE ECE 2015 Set 1 (1) GATE ECE 2015 Set 3 (1) GATE ECE 2013 (2) GATE ECE 2011 (1) GATE ECE 2008 (2) GATE ECE 2005 (1) GATE ECE 2003 (1) GATE ECE 2002 (1) GATE ECE 2001 (1) GATE ECE 2000 (1) GATE ECE 1998 (2) GATE ECE 1995 (3) GATE ECE 1994 (1)

GATE ECE Subjects

Signals and Systems

Network Theory

Control Systems

Digital Circuits

General Aptitude

Electronic Devices and VLSI

Analog Circuits

Engineering Mathematics

Microprocessors

Communications

Electromagnetics