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
2
GATE ECE 2022
MCQ (More than One Correct Answer)
+2
-0.67
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)?
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: $${e^{ - t/T}}$$
X: Impulse P: 1 $$ - {e^{ - t/T}}$$
Y: Unit step Q: t $$ - T(1 - {e^{ - t/T}})$$
Z: Ramp R: $${e^{ - t/T}}$$
Questions Asked from Transmission of Signal Through Continuous Time LTI Systems (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE ECE Subjects
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics