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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.