1
GATE ECE 2001
MCQ (Single Correct Answer)
+2
-0.6
The impulse response function of four linear system S1, S2, S3, S4 are given respectively by
$${h_1}$$(t), = 1;
$${h_2}$$(t), = U(t);
$${h_3}(t)\, = \,{{U(t)} \over {t + 1}}$$;
$${h_4}(t)\, = {e^{ - 3t}}U(t)$$ ,
where U (t) is the unit step function. Which of these system is time invariant, causal, and stable?
2
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
Let u(t) be the unit step function. Which of the waveforms in Fig.(a) -(d) corresponds to the convolution of $$\left[ {u\left( t \right)\, - \,u\left( {t\, - \,1} \right)} \right]$$ with $$\left[ {u\left( t \right)\, - \,u\left( {t\, - \,2} \right)} \right]$$ ?
3
GATE ECE 2000
MCQ (Single Correct Answer)
+2
-0.6
A linear time invariant system has an impulse response $${e^{2t}},\,\,t\, > \,0.$$ If the initial conditions are zero and the input is $${e^{3t}}$$, the output for $$t\, > \,0$$ is
4
GATE ECE 1997
Subjective
+2
-0
Match each of the items 1, 2 on the left with the most appropriate item A, B, C or D on the right.
In the case of a linear time invariant system
List - 1
(1) Poles in the right half plane implies.
(2) Impulse response zero for $$t \le 0$$ implies.
List - 2
(A) Exponential decay of output
(B) System is causal
(C) No stored energy in the system
(D) System is unstable
Questions Asked from Continuous Time Linear Invariant System (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2017 Set 2 (3)
GATE ECE 2017 Set 1 (1)
GATE ECE 2015 Set 2 (2)
GATE ECE 2013 (1)
GATE ECE 2012 (1)
GATE ECE 2011 (1)
GATE ECE 2010 (1)
GATE ECE 2009 (1)
GATE ECE 2008 (2)
GATE ECE 2007 (1)
GATE ECE 2006 (1)
GATE ECE 2005 (1)
GATE ECE 2004 (3)
GATE ECE 2001 (1)
GATE ECE 2000 (2)
GATE ECE 1997 (1)
GATE ECE 1994 (1)
GATE ECE 1991 (2)
GATE ECE 1990 (2)
GATE ECE 1988 (1)
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics