From d5e6e92b4939ab4cc953fe2a56884a2ac5fd80ba Mon Sep 17 00:00:00 2001
From: Nao Pross <np@0hm.ch>
Date: Sun, 15 Aug 2021 09:32:08 +0200
Subject: Start

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 tex/signals.tex | 26 ++++++++++++++++++++++++++
 1 file changed, 26 insertions(+)
 create mode 100644 tex/signals.tex

(limited to 'tex')

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+\section{Signals}
+\subsection{Classification}
+%% TODO
+
+\subsection{Properties}
+\begin{table}[h]
+  \everymath={\displaystyle}
+  \[
+    \begin{array}{l l}
+      \toprule
+      \text{\bfseries Characteristic} & \text{\bfseries Symbol and formula} \\
+      \midrule
+      \text{Normalized energy} & E_n = \lim_{T\to\infty} \int_T |x|^2 \,dt \\[6pt]
+      \midrule
+      \text{Normalized power}  & P_n = \lim_{T\to\infty} \frac{1}{T} \int_T |x|^2 \,dt \\[12pt]
+      \text{Linear mean}       & X_0 = \frac{1}{T} \int_T x\, dt \\[12pt]
+      \text{Mean square}       & X^2 = \frac{1}{T} \int_T x^2 \, dt \\[12pt]
+      n\text{-th order mean}   & X^n = \frac{1}{T} \int_T x^n \, dt \\[12pt]
+      \text{Rectified value}   & |\bar{X}| = \frac{1}{T} \int_T |x| \,dt \\[12pt]
+      \text{Variance}          & \sigma^2 = \frac{1}{T} \int_T \left(x - X_0\right)^2 dt \\[12pt]
+                               & = X^2 - X_0 \\[6pt]
+      \text{Root mean square}  & X_\text{rms} = \sqrt{X^2} \\
+      \bottomrule
+    \end{array}
+  \]
+\end{table}
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