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1
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
The Dirac delta function $$\delta (t)$$ is defined as
A
$$\delta (t) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {otherwise} \cr } } \right.$$
B
$$\delta (t) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {otherwise} \cr } } \right.$$
C
$$\delta (t) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {otherwise\,\,\,and\,\,\int\limits_{ - \infty }^\infty {\delta (t)\,dt = 1} } \cr } } \right.\,\,$$
D
$$\delta (t) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {otherwise\,\,\,and\,\,\int\limits_{ - \infty }^\infty {\delta (t)\,dt = 1} } \cr } } \right.\,\,$$
2
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
A solution for the differential equation $$\mathop x\limits^. $$(t) + 2 x (t) = $$\delta (t)$$ with intial condition $$x({0^ - }) = 0$$ is
A
$${e^{ - 2t}}\,u(t)$$
B
$${e^{2t}}\,u(t)$$
C
$${e^{ - t}}\,u(t)$$
D
$${e^t}\,u(t)$$
3
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
The function x(t) is shown in Fig. Even and odd parts of a unit-step function u(t) are respectively. GATE ECE 2005 Signals and Systems - Miscellaneous Question 19 English
A
$${1 \over 2},\,{1 \over 2}x(t)$$
B
$$-{1 \over 2},\,{1 \over 2}x(t)$$
C
$${1 \over 2},\,-{1 \over 2}x(t)$$
D
$$-{1 \over 2},\,-{1 \over 2}x(t)$$
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
Let $$\delta (t)$$ denote the delta function. The value of the the integral $$\int\limits_{ - \infty }^\infty {\delta (t)} \,\,\cos \left( {{{3\,\,t} \over 2}} \right)dt$$ is
A
1
B
- 1
C
0
D
$${\pi /2}$$
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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
State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous
Control Systems
Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
Digital Circuits
Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Electronic Devices and VLSI
Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET
Analog Circuits
Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Probability and Statistics Differential Equations Complex Variable Numerical Methods Transform Theory
Microprocessors
Instruction Set and Programming with 8085 Pin Details of 8085 and Interfacing with 8085
Communications
Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise
Electromagnetics
Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves
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