Response (System)

Step Response

The step response is the system’s response to the Unit Step Function.

The step response is the integral of the Impulse Response.

• The response to the Unit Impulse is $Y(s)=H(s)$
• The response to the Unit Step impulse is $Y(s)=\frac{1}{s}H(s)$

In the real world

In the “real world” it is often easier to physically generate a unit step function than a unit impulse so point 2 above gives us a nice way to compute transfer functions.

Related

• Impulse Response