ExamSIDE
Questions (Powered by ExamGOAL)
Signals and Systems
Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Continuous and Discrete Time Signals
Marks 1Marks 2
Continuous Time Signal Fourier Transform
Marks 1Marks 2
Continuous Time Periodic Signal Fourier Series
Marks 1Marks 2Marks 5
Discrete Time Signal Z Transformation
Marks 1Marks 2
Miscellaneous
Marks 2
Continuous Time Signal Laplace Transform
Marks 1Marks 2
Sampling Theorem
Marks 1Marks 2
Previous Next
1
GATE EE 2010
MCQ (Single Correct Answer)
+2
-0.6
Given the finite length input x[n] and the corresponding finite length output y[n] of an LTI system as shown below, the impulse response h[n] of the system is GATE EE 2010 Signals and Systems - Linear Time Invariant Systems Question 37 English
A
$$\begin{array}{l}h\left[n\right]=\left\{1,\;0,\;0,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$
B
$$\begin{array}{l}h\left[n\right]=\left\{1,\;0,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$
C
$$\begin{array}{l}h\left[n\right]=\left\{1,\;1,\;1,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$
D
$$\begin{array}{l}h\left[n\right]=\left\{1,\;1,\;1\right\}\\\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\uparrow\end{array}$$
2
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
A cascade of 3 Linear Time Invariant systems is casual and unstable. From this, we conclude that
A
each system in the cascade is individually casual and unstable
B
at least one system is unstable and atleast one system is casual
C
at least one system is casual and all systems are unstable
D
the majority are unstable and the majority are casual
3
GATE EE 2009
MCQ (Single Correct Answer)
+2
-0.6
The $$z$$$$-$$ transform of a signal $$x\left[ n \right]$$ is given by $$4{z^{ - 3}} + 3{z^{ - 1}} + 2 - 6{z^2} + 2{z^3}.$$ It is applied to a system, with a transfer function $$H\left( z \right) = 3{z^{ - 1}} - 2.$$ Let the output be $$y(n)$$. Which of the following is true?
A
$$y\left( n \right)$$ is non causal with finite support
B
$$y\left( n \right)$$ is causal with infinite support
C
$$y\left( n \right)$$ $$ = 0;\,|n| > 3$$
D
$$\eqalign{ & {\mathop{\rm Re}\nolimits} {\left[ {Y\left( z \right)} \right]_{z = {e^{j0}}}} = - {\mathop{\rm Re}\nolimits} {\left[ {Y\left( z \right)} \right]_{z = {e^{j0}}}}; \cr & {\rm I}m{\left[ {Y\left( z \right)} \right]_{z = {e^{j0}}}}\, = {\rm I}m{\left[ {Y\left( z \right)} \right]_z} = {e^{j0}};\,\, - \pi \le \theta < \pi \cr} $$
4
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
A system with input $$x(t)$$ and output $$y(t)$$ is defined by the input $$-$$ output relation:
$$y\left( t \right) = \int\limits_{ - \infty }^{ - 2t} {x\left( \tau \right)} d\tau .$$ The system will be
A
causal, time $$-$$ invariant and unstable
B
causal, time $$-$$ invariant and stable
C
non $$-$$ causal, time $$-$$ invariant and unstable
D
non $$-$$ causal, time $$-$$ variant and unstable
Previous Next
Questions Asked from Marks 2
GATE EE 2025 (1) GATE EE 2024 (2) GATE EE 2022 (2) GATE EE 2015 Set 2 (1) GATE EE 2013 (1) GATE EE 2012 (2) GATE EE 2011 (1) GATE EE 2010 (1) GATE EE 2009 (2) GATE EE 2008 (3) GATE EE 2007 (4) GATE EE 2006 (4) GATE EE 2004 (1) GATE EE 2001 (1)
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement