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Signals and Systems
Linear Time Invariant Systems
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Continuous and Discrete Time Signals
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Continuous Time Signal Fourier Transform
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Continuous Time Periodic Signal Fourier Series
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Discrete Time Signal Z Transformation
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Miscellaneous
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Continuous Time Signal Laplace Transform
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Sampling Theorem
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1
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
x(t) is nonzero only for $$T_x\;<\;t\;<\;T_x^1$$ , and similarly, y(t) is nonzero only for $$T_y\;<\;t\;<\;T_y^1$$ . Let z(t) be convolution of x(t) and y(t). Which one of the following statements is TRUE?
A
z(t) can be nonzero over an unbounded interval
B
z(t) is nonzero for $$t\;<\;T_x+T_y$$
C
z(t) is zero outside of $$T_x+T_y\;<\;t\;<\;T_x^1+T_y^1$$
D
z(t) is nonzero for $$t\;>\;T_x^1+T_y^1$$
2
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output is
A
$$\frac{t^2}2u\left(t\right)$$
B
$$\frac{t\left(t-1\right)}2u\left(t-1\right)$$
C
$$\frac{\left(t-1\right)^2}2u\left(t-1\right)$$
D
$$\frac{t^2-1}2u\left(t-1\right)$$
3
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
Two systems with impulse responses h1(t) and h2(t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
A
product of h1(t) and h2(t)
B
Sum of h1(t) and h2(t)
C
Convolution of h1(t) and h2(t)
D
subtraction of h2(t) and h1(t)
4
GATE EE 2013
MCQ (Single Correct Answer)
+1
-0.3
Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is GATE EE 2013 Signals and Systems - Linear Time Invariant Systems Question 47 English
A
u(t)
B
tu(t)
C
$$\frac{t^2}2u\left(t\right)$$
D
$$e^{-t}u\left(t\right)$$
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Questions Asked from Marks 1
GATE EE 2025 (1) GATE EE 2024 (1) GATE EE 2023 (2) GATE EE 2016 Set 1 (1) GATE EE 2015 Set 1 (1) GATE EE 2014 Set 2 (2) GATE EE 2014 Set 1 (1) GATE EE 2013 (3) GATE EE 2011 (2) GATE EE 2010 (2) GATE EE 2009 (1) GATE EE 2008 (3) GATE EE 2007 (1) GATE EE 2002 (1) GATE EE 1994 (1) GATE EE 1993 (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