GATE ECE 2008 | Continuous Time Linear Invariant System Question 22 | Signals and Systems

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?

$$y\left( t \right) = x\left( {t - 2} \right) + x\left( {t + 4} \right)$$

$$y\left( t \right) = \left( {t - 4} \right)x\left( {t + 1} \right)$$

$$y\left( t \right) = \left( {t + 4} \right)x\left( {t - 1} \right)$$

$$y\left( t \right) = \left( {t + 5} \right)x\left( {t + 5} \right)$$

GATE ECE 2005

MCQ (Single Correct Answer)

-0.3

Which of the following can be impulse response of a causal system?

GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 1

GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 2

GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 3

GATE ECE 2005 Signals and Systems - Continuous Time Linear Invariant System Question 43 English Option 4

GATE ECE 2003

MCQ (Single Correct Answer)

-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

$$4\,{e^{j4\pi f}}$$

$$2\,{e^{ - j8\pi f}}$$ v

$$4\,{e^{ - j4\pi f}}$$

$$2\,{e^{j8\pi f}}$$

GATE ECE 2002

MCQ (Single Correct Answer)

-0.3

Convolution of x(t + 5) with impulse function $$\delta \left( {t\, - \,7} \right)$$ is equal to

$$X\left( {t - 12} \right)$$

$$X\left( {t + 12} \right)$$

$$X\left( {t - 2} \right)$$

$$X\left( {t + 2} \right)$$

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GATE ECE Subjects

Signals and Systems

Representation of Continuous Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Discrete Time Signal Fourier Series Fourier Transform Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Transmission of Signal Through Continuous Time LTI Systems Sampling Transmission of Signal Through Discrete Time Lti Systems Miscellaneous

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

PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET

Analog Circuits

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

Engineering Mathematics

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

Microprocessors

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

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