blob: 17a5a7266a4dbf27b2b5fefd1aa38e13386ca55d (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
|
\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}
|