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@neingeist
Created November 26, 2014 13:10
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\begin{equation} \label{eq:dft_1dconsymmetry}
\begin{aligned}
X_{-k} &\stackrel{\hphantom{x_n \in \mathbb{R}}}{=} \sum_{n=0}^{N-1}x_n\cdot e^{-i2\pi n -k/N} \\
&\stackrel{\hphantom{x_n \in \mathbb{R}}}{=} \sum_{n=0}^{N-1}x_n\cdot e^{+i2\pi n k/N} \\
&\stackrel{x_n \in \mathbb{R}}{=} X^*_k
\end{aligned}
\end{equation}
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