Step response from impulse response

1. How do you find step response from impulse response?
2. Is impulse response the same as step response?
3. What is the relation between step function and impulse function?

How do you find step response from impulse response?

To develop this relationship, consider first the unit step response of a system. so the output is the impulse response (the derivative of the unit step response). It is important to keep in mind that the impulse response of a system is a zero state response (i.e., all initial conditions equal to zero at t=0^-).

Is impulse response the same as step response?

They are related as follows: The step response is the integral of the impulse response. The transfer function is the Laplace transform of the impulse response.

What is the relation between step function and impulse function?

The unit step function is level in all places except for a discontinuity at t = 0. For this reason, the derivative of the unit step function is 0 at all points t, except where t = 0. Where t = 0, the derivative of the unit step function is infinite. The derivative of a unit step function is called an impulse function.