Step response to an impulse response

AI Thread Summary
The discussion revolves around finding the step response of an LTIC system with a specified impulse response, h(t) = u(t) - u(t-2). The user initially struggles with the integration process needed to derive the step response, which involves integrating h(t) over the range from -∞ to t. Despite the challenge, the user eventually resolves the issue independently. The conversation highlights the importance of understanding the relationship between impulse and step responses in system analysis. The user expresses gratitude for the eventual clarity achieved in solving the problem.
EeCe
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Hi all,

I'm having a lot of trouble understanding this step response:

Problem statement:

Consider an LTIC system with impulse response given by: h(t) = u(t) - u(t-2)

Sketch the step response s(t).

I've already sketched h(t)...but,
I know that the step response is found by integrating h(t) with respect to tau over the range -∞ to t. I know this is not hard, but for some reason I'm just having trouble figuring out what to do, and my text doesn't cover the step response at all (probably because it's so easy).

Any help if how to find the step response would be appreciated. Thanks
 
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Well, I figured out on my own.
 

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