1
GATE ECE 2011
MCQ (Single Correct Answer)
+2
-0.6
An input x(t) = exp( -2t) u(t) + $$\delta $$(t-6) is applied to an LTI system with impulse response h(t) = u(t). The output is
2
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
A continuous time LTI system is described by $${{{d^2}y(t)} \over {d{t^2}}} + 4{{dy(t)} \over {dt}} + 3y(t)\, = 2{{dx(t)} \over {dt}} + 4x(t)$$.
Assuming zero initial conditions, the response y(t) of the above system for the input x(t) = $${e^{ - 2t}}$$ u(t) is given by
3
GATE ECE 2009
MCQ (Single Correct Answer)
+2
-0.6
Consider a system whose input x and output y are related by the equation
$$$y(t) = \int\limits_{ - \infty }^\infty {x(t - \tau )\,h(2\tau )\,d\tau } $$$
BIBO: Bounded input gives a bounded output.
Causal: The system is casual.
LP: The system is low pass.
LTI: The system is linear and time- invariant.
Where h(t) is shown in the graph.
Which of the following four properties are possessed by the system?
BIBO: Bounded input gives a bounded output.
Causal: The system is casual.
LP: The system is low pass.
LTI: The system is linear and time- invariant.
4
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
Let x(t) be the input and y(t) be the output of a continuous time system. Match the system properties P1, P2 and P3 with system relations R1, R2, R3, R4.
P1 : Linear but NOT time-invariant
P2: Time-invariant but NOT linear
P3: Linear and time-invariant
R1: y(t) = $${t^2}$$ x(t)
R2: y(t) = t$$\left| {x(t)} \right|$$
R3: y(t) = $$\left| {x(t)} \right|$$
R4: y(t) = x(t-5)
Properties
P1 : Linear but NOT time-invariant
P2: Time-invariant but NOT linear
P3: Linear and time-invariant
Relations
R1: y(t) = $${t^2}$$ x(t)
R2: y(t) = t$$\left| {x(t)} \right|$$
R3: y(t) = $$\left| {x(t)} \right|$$
R4: y(t) = x(t-5)
Questions Asked from Continuous Time Linear Invariant System (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE 2017 Set 1 (1)
GATE ECE 2017 Set 2 (3)
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