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authorPhilipp Le <philipp-le-prviat@freenet.de>2020-05-20 01:57:21 +0200
committerPhilipp Le <philipp-le-prviat@freenet.de>2021-03-04 01:16:19 +0100
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WIP: Chapter 4
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@@ -1026,7 +1026,7 @@ The constants can be moved in front of the integrals.
\begin{excursus}{Convolution}
The convolution is defined to:
\begin{equation}
- f(t) * g(t) = \left(f * g\right) (t) = \int_{\tau = -\infty}^{\infty} f(\tau) g(t - \tau) \, \mathrm{d} \tau = \int_{\tau = -\infty}^{\infty} f(t - \tau) g(\tau) \, \mathrm{d} \tau
+ f(t) * g(t) = \left(f * g\right) (t) = \int\limits_{\tau = -\infty}^{\infty} f(\tau) g(t - \tau) \, \mathrm{d} \tau = \int\limits_{\tau = -\infty}^{\infty} f(t - \tau) g(\tau) \, \mathrm{d} \tau
\label{eq:ch02:def_convolution}
\end{equation}
\end{excursus}