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authorNao Pross <np@0hm.ch>2021-08-15 09:32:08 +0200
committerNao Pross <np@0hm.ch>2021-08-15 09:32:08 +0200
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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}