From f5a2fb752b3760fb4fba815cabf246fbcfb1c892 Mon Sep 17 00:00:00 2001 From: Philipp Le Date: Wed, 20 May 2020 01:57:21 +0200 Subject: WIP: Chapter 4 --- chapter02/content_ch02.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'chapter02') 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} -- cgit v1.1