GATE EE 1994 | Linear Time Invariant Systems Question 51 | Signals and Systems

Signals and Systems

Linear Time Invariant Systems

Continuous and Discrete Time Signals

Continuous Time Signal Fourier Transform

Continuous Time Periodic Signal Fourier Series

Discrete Time Signal Z Transformation

Miscellaneous

Continuous Time Signal Laplace Transform

Sampling Theorem

GATE EE 1994

Subjective

-0

If $$f(t)$$ is the step-response of a linear time-invariant system, then its impulse response is given by ___________

GATE EE 1993

MCQ (Single Correct Answer)

-0.3

$$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is given by

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

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

$$\int\limits_0^t {\int\limits_0^\tau s \left( {t - {\tau _1}} \right)\,u\left( {{\tau _1}} \right)\,d{\tau _1}} \,d\tau $$

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

Questions Asked from Marks 1

GATE EE Subjects

Electromagnetic Fields

Signals and Systems

Engineering Mathematics

General Aptitude

Power Electronics

Power System Analysis

Analog Electronics

Control Systems

Digital Electronics

Electrical Machines

Electric Circuits

Electrical and Electronics Measurement