LEARNING EXAMPLE
This example illustrates an idealized modeling approach and the use of convolution
as a system simulation tool.
This slide shows how one can obtain a “black box” model for a system
Unknown linear system represented
in the Laplace domain
The black box model is a description
of the system based only on input/output
data. There is no information on what is
“inside the box”
Ideal approach to modeling
Measure the impulse
response
In practice, a good approximation to an
impulse may be difficult, or impossible
to apply. Hence we try to use “more
sensible inputs.”
Using the step response
The impulse response is the derivative
of the step response of a system
Once the impulse response is obtained,
the convolution can be evaluated
numerically
