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Signals and Systems
Representation of Continuous Time Signal Fourier Series
Marks 1Marks 2
Fourier Transform
Marks 1Marks 2Marks 5
Continuous Time Signal Laplace Transform
Marks 1Marks 2Marks 5
Discrete Time Signal Fourier Series Fourier Transform
Marks 1Marks 2
Discrete Fourier Transform and Fast Fourier Transform
Marks 1Marks 2
Discrete Time Signal Z Transform
Marks 1Marks 2
Continuous Time Linear Invariant System
Marks 1Marks 2Marks 5
Discrete Time Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Continuous Time LTI Systems
Marks 1Marks 2Marks 5
Sampling
Marks 1Marks 2Marks 4Marks 5
Transmission of Signal Through Discrete Time Lti Systems
Marks 1Marks 2Marks 4
Miscellaneous
Marks 1Marks 2
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1
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The impulse response h(t) of a linear time-invariant continuous time system is described by $$h\left( t \right) = \,\,\exp \left( {\alpha t} \right)u\left( t \right)\,\,\, + \,\,\exp \left( {\beta t} \right)u\left( { - t} \right),$$ where u(t) denotes the unit step function, and $$\alpha $$ and $$\beta $$ are real constants. This system is stable if
A
$$\alpha $$ is positive and $$\beta $$ is positive
B
$$\alpha $$ is negative and $$\beta $$ is negative
C
$$\alpha $$ is positive and $$\beta $$ is negative
D
$$\alpha $$ is negative and $$\beta $$ is positive
2
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The input and output of a continuous system are respectively denoted by x(t) and y(t). Which of the following descriptions corresponds to a causal system?
A
$$y\left( t \right) = x\left( {t - 2} \right) + x\left( {t + 4} \right)$$
B
$$y\left( t \right) = \left( {t - 4} \right)x\left( {t + 1} \right)$$
C
$$y\left( t \right) = \left( {t + 4} \right)x\left( {t - 1} \right)$$
D
$$y\left( t \right) = \left( {t + 5} \right)x\left( {t + 5} \right)$$
3
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
Which of the following can be impulse response of a causal system?
A
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 1
B
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 2
C
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 3
D
GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 4
4
GATE ECE 2003
MCQ (Single Correct Answer)
+1
-0.3
Let x(t) be the input to a linear, time-invariant system. The required output is 4x(t - 2). The transfer function of the system should be
A
$$4\,{e^{j4\pi f}}$$
B
$$2\,{e^{ - j8\pi f}}$$ v
C
$$4\,{e^{ - j4\pi f}}$$
D
$$2\,{e^{j8\pi f}}$$
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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