Step response to an impulse response

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SUMMARY

The discussion focuses on finding the step response of a Linear Time-Invariant Continuous (LTIC) system with an impulse response defined as h(t) = u(t) - u(t-2). The step response s(t) is determined by integrating the impulse response h(t) with respect to tau over the range from -∞ to t. The user initially struggled with the concept but ultimately resolved the issue independently.

PREREQUISITES
  • Understanding of Linear Time-Invariant Continuous (LTIC) systems
  • Familiarity with impulse response and step response concepts
  • Knowledge of integration techniques in signal processing
  • Basic understanding of the unit step function, u(t)
NEXT STEPS
  • Study the properties of Linear Time-Invariant Continuous (LTIC) systems
  • Learn about the relationship between impulse response and step response
  • Practice integration of functions involving the unit step function, u(t)
  • Explore examples of step response calculations in signal processing
USEFUL FOR

Students and professionals in electrical engineering, signal processing, and control systems who are looking to deepen their understanding of system responses and analysis techniques.

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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