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| author | Philipp Le <philipp-le-prviat@freenet.de> | 2020-05-20 01:57:21 +0200 |
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| committer | Philipp Le <philipp-le-prviat@freenet.de> | 2021-03-04 01:16:19 +0100 |
| commit | f5a2fb752b3760fb4fba815cabf246fbcfb1c892 (patch) | |
| tree | b1ed77b030254b21c420e656135ac4e807c7c4f3 /chapter02 | |
| parent | 6729b38847fb8c9a4a2d914c0c0e26d2def94247 (diff) | |
| download | dcs-lecture-notes-f5a2fb752b3760fb4fba815cabf246fbcfb1c892.zip dcs-lecture-notes-f5a2fb752b3760fb4fba815cabf246fbcfb1c892.tar.gz dcs-lecture-notes-f5a2fb752b3760fb4fba815cabf246fbcfb1c892.tar.bz2 | |
WIP: Chapter 4
Diffstat (limited to 'chapter02')
| -rw-r--r-- | chapter02/content_ch02.tex | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/chapter02/content_ch02.tex b/chapter02/content_ch02.tex index 8d28f89..95f97e6 100644 --- a/chapter02/content_ch02.tex +++ b/chapter02/content_ch02.tex @@ -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} |
