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diff --git a/tex/signals.tex b/tex/signals.tex new file mode 100644 index 0000000..17a5a72 --- /dev/null +++ b/tex/signals.tex @@ -0,0 +1,26 @@ +\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} |