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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Network Theory

State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous

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Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis

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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

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

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