Web Reference: In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions and that produces a third function , as the integral of the product of the two functions after one is reflected about the y-axis and shifted. On the next slide we give an example that shows that this equality does not hold, and hence the Laplace transform cannot in general be commuted with ordinary multiplication. In advanced classes such as Linear Systems I and II, the convolution integral plays a critical role in understanding system responses, signal processing, and the behavior of linear time-invariant (LTI) systems.
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