%% %% This is file `trfexamp.tex', %% generated with the docstrip utility. %% %% The original source files were: %% %% trfsigns.dtx (with options: `sample') %% %% %% This file is part of the trfsigns package %% ----------------------------------------- %% %% Copyright (C) 1998 Kai Rascher. All rights reserved. %% %% To produce the example in the way you like you are allowed %% to change this file. %% %% File: trfsigns.dtx Copyright (C) 1999 Kai Rascher \documentclass[11pt,a4paper]{article} \usepackage{german} \usepackage{trfsigns} \begin{document} \noindent \textbf{\LARGE Transformationszeichen der} \section*{Laplace-Transformation \protect\laplace, \protect\Laplace} \begin{eqnarray} s(t) &\laplace& \frac{1}{p}\\[1ex] \frac{1}{p} &\Laplace& s(t) \end{eqnarray} \section*{(kontinuierlichen) Fourier-Transformation\newline \protect\fourier, \protect\Fourier} \begin{eqnarray} \cos(\omega_0 t) &\fourier& \pi\left[\delta(\omega-\omega_0) + \delta(\omega+\omega_0)\right]\\[1ex] \pi\left[\delta(\omega-\omega_0) + \delta(\omega+\omega_0)\right] & \Fourier& \cos(\omega_0 t) \end{eqnarray} \section*{diskontinuierlichen Fourier-Transformation\newline \protect\dfourier, \protect\Dfourier} \begin{eqnarray} a^n s[n]\quad\mbox{mit~}|a| < 1 &\dfourier& \frac{1}{1-a \e^{\im\omega T}}\\[1ex] \frac{1}{1-a \e^{\im\omega T}} &\Dfourier& a^n s[n]\quad\mbox{mit~}|a| < 1 \end{eqnarray} \section*{Z-Transformation \protect\ztransf, \protect\Ztransf} \begin{eqnarray} s[n] &\ztransf& \frac{z}{z-1}\\[1ex] \frac{z}{z-1} &\Ztransf& s[n] \end{eqnarray} \section*{diskreten Fourier-Transformation \protect\dft{}, \protect\DFT{}} \begin{eqnarray} f[n] &\dft{N}& F[m] = \sum_{n=0}^{N-1} f[n] \e^{-\im\frac{2 \pi}{N}nm}% \:\;(m = 0, 1, \ldots, N-1)\\[1ex] F[m] &\DFT{N}& f[n] = \frac{1}{N}\sum_{m=0}^{N-1} F[m] \e^{\im\frac{2\pi}{N}mn}% \:\;(n = 0, 1, \ldots, N-1) \end{eqnarray} \end{document} \endinput %% %% End of file `trfexamp.tex'.