GATE ECE 1998 | Continuous Time Linear Invariant System Question 40 | Signals and Systems

The unit impulse response of a linear time invariant system is the unit step function u(t). For t>0, the response of the system to an excitation e^-at u(t), a>0 will be

a e^-at

(1/a) (1 - e^-at)

a(1 - e^-at)

1 - e^-at)

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

The transfer function of a linear system is the

ratio of the output, v₀(t), and input, v_i(t).

ratio of the derivatives of the output and the input.

ratio of the Laplace transform of the output and that of the input with all initial conditions zeros.

none of these.

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

Let h(t) be the impulse response of a linear time invariant system. Then the response of the system for any input u(t) is

$$\int\limits_0^t {h\left( \tau \right)} u\left( {t - \tau } \right)d\tau \,\,\,\,\,\,$$

$${d \over {dt}}\int\limits_0^t {h\left( \tau \right)u\left( {t - \tau } \right)d\tau \,\,\,\,\,} $$

$${\int\limits_0^t {\left[ {\int\limits_0^t {h\left( \tau \right)u\left( {t - \tau } \right)d\tau } } \right]dt\,\,\,\,\,\,} }$$

$${\int\limits_0^t {{h^2}\left( \tau \right)u\left( {t - \tau } \right)d\tau } }$$

GATE ECE 1995

MCQ (Single Correct Answer)

-0.3

Non - minimum phase transfer function is defined as the transfer function

which has zeros in the right - half s - plane.

which has zeros only in the left - half s - plane.

which has poles in the right - half s - plane.

which has poles in the left - half s - plane.

PREVIOUS NEXT

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

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

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

General Aptitude

Numerical Ability Verbal Ability

Electronic Devices and VLSI

PN Junction Semiconductor Physics IC Basics and MOSFET BJT and FET

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 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