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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 2023
MCQ (Single Correct Answer)
+2
-0.67

Let $$x(t) = 100\cos (10.5Wt)$$ be passed through an LTI system having impulse response $$h(t) = \pi {\left( {{{\sin Wt} \over {\pi t}}} \right)^2}\cos 10Wt$$. The output of the system is

A
$$\left( {{{15W} \over 4}} \right)\cos (10.5Wt)$$
B
$$\left( {{{15W} \over 2}} \right)\cos (10.5Wt)$$
C
$$\left( {{{15W} \over 8}} \right)\cos (10.5Wt)$$
D
$$(15W)\cos(10.5Wt)$$
2
GATE ECE 2022
MCQ (More than One Correct Answer)
+2
-0

The outputs of four systems (S1, S2, S3 and S4) corresponding to the input signal sin(t), for all time t, are shown in the figure.

Based on the given information, which of the four systems is/are definitely NOT LTI (linear and time-invariant)?

GATE ECE 2022 Signals and Systems - Transmission of Signal Through Continuous Time LTI Systems Question 2 English

A
S1
B
S2
C
S3
D
S4
3
GATE ECE 2016 Set 2
Numerical
+2
-0
A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2} + 6s + 8}}$$ is converted to a discrete time filter with transfer function $$G(Z) = {{2{z^2} - 0.5032\,z} \over {{z^2} - 0.5032z + k}}$$ so that the impulse response of the continuous-time filter, sampled at 2 Hz, is identical at the sampling instants to the impulse response of the discrete time filter, The value of k is _________________________.
Your input ____
4
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A first-order low-pass filter of time constant T is excited with different input signals (with zero initial conditions up to t = 0). Match the excitation signals X, Y, Z with the corresponding time responses for $$t\, \ge 0$$:
X: Impulse P: 1 $$ - {e^{ - t/T}}$$
Y: Unit step Q: t $$ - T(1 - {e^{ - t/T}})$$
Z: Ramp R: $${e^{ - t/T}}$$
A
$$X \to R,\,Y \to Q,\,\,Z \to P$$
B
$$X \to Q,\,Y \to P,\,\,Z \to R$$
C
$$X \to R,\,Y \to P,\,\,Z \to Q$$
D
$$X \to P,\,Y \to R,\,\,Z \to Q$$
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Questions Asked from Marks 2
GATE ECE 2023 (1) GATE ECE 2022 (1) GATE ECE 2016 Set 2 (1) GATE ECE 2016 Set 1 (1) GATE ECE 2015 Set 1 (1) GATE ECE 2007 (1) GATE ECE 2004 (2) GATE ECE 2003 (2) GATE ECE 2002 (1) GATE ECE 2000 (1) GATE ECE 1999 (1) GATE ECE 1993 (1) GATE ECE 1991 (1) GATE ECE 1990 (1) GATE ECE 1988 (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