Question

The step response of the impulse response of a ramp function will be ________

(a) a parabolic function

(b) an exponential function

(c) a sinusoidal function

(d) a sinc function

I had been asked this question during a job interview.

Query is from Impulse Response topic in chapter Control System Applications of MATLAB

Answer 1

Correct choice is (a) a parabolic function

To explain I would say: The step response of a system can be thought in the Laplace domain as multiplication with 1/s. Now, the impulse response of ramp function is the ramp function itself while the step response of ramp function results in a parabola.