GATE ECE 2017 Set 2 | Continuous Time Linear Invariant System Question 4 | Signals and Systems

The input x(t) and the output y(t) of a continuous time system are related as $$y\left( t \right) = \int\limits_{t - T}^t {x\left( u \right)du.} $$. The system is

Linear and time variant

linear and time invariant

non linear and time variant

nonlinear and time invariant

GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.3

The result of the convolution $$x\left( { - t} \right) * \delta \left( { - t - {t_0}} \right)$$ is

$$x\left( {t + {t_0}} \right)\,$$

$$x\left( {t - {t_0}} \right)\,$$

$$x\left( { - t + {t_0}} \right)$$

$$\,x\left( { - t - {t_0}} \right)$$

GATE ECE 2015 Set 3

MCQ (Single Correct Answer)

-0.3

The impulse response of an LTI system can be obtained by

differentiating the unit ramp response

differentiating the unit step response

integrating the unit ramp response

integrating the unit step response

GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

The impulse response of a system is h(t) = t u(t). For an input u(t - 1), the output is

$${{{t^2}} \over 2}u\left( t \right)$$

$${{t\left( {t - 1} \right)} \over 2}u\left( {t - 1} \right)$$

$${{{{\left( {t - 1} \right)}^2}} \over 2}u\left( {t - 1} \right)\,$$

$${{{t^2} - 1} \over 2}u\left( {t - 1} \right)$$

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GATE ECE Subjects

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

Electronic Devices and VLSI

Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET

Analog Circuits

Bipolar Junction Transistor FET and MOSFET Oscillators Operational Amplifier 555 Timer Frequency Response Diodes Feedback Amplifier Power Amplifier

Digital Circuits

Logic Gates Boolean Algebra Analog to Digital and Digital to Analog Converters Sequential Circuits Combinational Circuits Logic Families Number System and Code Convertions Semiconductor Memories

Microprocessors

Instruction Set and Programming with 8085 Pin Details of 8085 and Interfacing with 8085

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

Communications

Analog Communication Systems Digital Communication Systems Random Signals and Noise Fundamentals of Information Theory Noise In Digital Communication

Electromagnetics

Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Engineering Mathematics

Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory