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authorPhilipp Le <philipp-le-prviat@freenet.de>2021-04-28 23:33:35 +0200
committerPhilipp Le <philipp-le-prviat@freenet.de>2021-04-28 23:33:35 +0200
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@@ -1105,7 +1105,7 @@ This equation resembles \eqref{eq:ch02:def_inv_fourier_transform}.
An example for the duality is the convolution in time-domain. Due to the duality, it becomes a multiplication in the frequency domain.
\begin{equation}
- \mathcal{F}\left\{ \underline{f}(t) * \underline{f}(t) \right\} = \mathcal{F}\left\{\underline{f}(t)\right\} \cdot \mathcal{F}\left\{\underline{g}(t)\right\}
+ \mathcal{F}\left\{ \underline{f}(t) * \underline{g}(t) \right\} = \mathcal{F}\left\{\underline{f}(t)\right\} \cdot \mathcal{F}\left\{\underline{g}(t)\right\}
\label{eq:ch02:op_conv}
\end{equation}