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Subsubsection Convolution Integral and LTI Systems
Definition B.2.5 Convolution Integral.
The convolution integral,
\begin{equation*}
(x * h)(t) = \int_{-\infty}^{\infty} x(\tau) h(t-\tau) \, d\tau
\end{equation*}
encapsulates
Remark B.2.4 and completely characterizes the input-output behavior of a LTI system.