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author | Joshua Baer <joshua.baer@ost.ch> | 2022-07-26 15:14:53 +0200 |
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committer | Joshua Baer <joshua.baer@ost.ch> | 2022-07-26 15:14:53 +0200 |
commit | 80f1ac88befc8c0471a47f4400dd727cbd47eff4 (patch) | |
tree | d61ed14a047a90664f25185e1ca6f047b5adc65d /buch/papers/fm | |
parent | Kapitel TODOs (diff) | |
download | SeminarSpezielleFunktionen-80f1ac88befc8c0471a47f4400dd727cbd47eff4.tar.gz SeminarSpezielleFunktionen-80f1ac88befc8c0471a47f4400dd727cbd47eff4.zip |
Ordner sturuktur angepasst
Diffstat (limited to 'buch/papers/fm')
-rw-r--r-- | buch/papers/fm/FM presentation/FM_presentation.tex (renamed from buch/papers/fm/RS presentation/FM_presentation.tex) | 4 | ||||
-rw-r--r-- | buch/papers/fm/FM presentation/README.txt | 1 | ||||
-rw-r--r-- | buch/papers/fm/FM presentation/images/100HZ.png (renamed from buch/papers/fm/RS presentation/images/100HZ.png) | bin | 8601 -> 8601 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/200HZ.png (renamed from buch/papers/fm/RS presentation/images/200HZ.png) | bin | 8502 -> 8502 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/300HZ.png (renamed from buch/papers/fm/RS presentation/images/300HZ.png) | bin | 9059 -> 9059 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/400HZ.png (renamed from buch/papers/fm/RS presentation/images/400HZ.png) | bin | 9949 -> 9949 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/bessel.png (renamed from buch/papers/fm/RS presentation/images/bessel.png) | bin | 40393 -> 40393 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/bessel2.png (renamed from buch/papers/fm/RS presentation/images/bessel2.png) | bin | 102494 -> 102494 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/bessel_beta1.png (renamed from buch/papers/fm/RS presentation/images/bessel_beta1.png) | bin | 40696 -> 40696 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/bessel_frequenz.png (renamed from buch/papers/fm/RS presentation/images/bessel_frequenz.png) | bin | 11264 -> 11264 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/beta_0.001.png (renamed from buch/papers/fm/RS presentation/images/beta_0.001.png) | bin | 6233 -> 6233 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/beta_0.1.png (renamed from buch/papers/fm/RS presentation/images/beta_0.1.png) | bin | 6630 -> 6630 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/beta_0.5.png (renamed from buch/papers/fm/RS presentation/images/beta_0.5.png) | bin | 8167 -> 8167 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/beta_1.png (renamed from buch/papers/fm/RS presentation/images/beta_1.png) | bin | 11303 -> 11303 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/beta_2.png (renamed from buch/papers/fm/RS presentation/images/beta_2.png) | bin | 14703 -> 14703 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/beta_3.png (renamed from buch/papers/fm/RS presentation/images/beta_3.png) | bin | 20377 -> 20377 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_10Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_10Hz.png) | bin | 6781 -> 6781 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_20hz.png (renamed from buch/papers/fm/RS presentation/images/fm_20hz.png) | bin | 7834 -> 7834 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_30Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_30Hz.png) | bin | 8601 -> 8601 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_3Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_3Hz.png) | bin | 6558 -> 6558 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_40Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_40Hz.png) | bin | 8795 -> 8795 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_5Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_5Hz.png) | bin | 5766 -> 5766 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_7Hz.png (renamed from buch/papers/fm/RS presentation/images/fm_7Hz.png) | bin | 6337 -> 6337 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_frequenz.png (renamed from buch/papers/fm/RS presentation/images/fm_frequenz.png) | bin | 11042 -> 11042 bytes | |||
-rw-r--r-- | buch/papers/fm/FM presentation/images/fm_in_time.png (renamed from buch/papers/fm/RS presentation/images/fm_in_time.png) | bin | 27400 -> 27400 bytes | |||
-rw-r--r-- | buch/papers/fm/Quellen/A2-14.pdf (renamed from buch/papers/fm/FM presentation/A2-14.pdf) | bin | 259673 -> 259673 bytes | |||
-rw-r--r-- | buch/papers/fm/Quellen/FM_presentation.pdf (renamed from buch/papers/fm/RS presentation/FM_presentation.pdf) | bin | 357597 -> 357597 bytes | |||
-rw-r--r-- | buch/papers/fm/Quellen/Frequency modulation (FM) and Bessel functions.pdf (renamed from buch/papers/fm/FM presentation/Frequency modulation (FM) and Bessel functions.pdf) | bin | 159598 -> 159598 bytes | |||
-rw-r--r-- | buch/papers/fm/Quellen/Seydel2022_Book_HöhereMathematikImAlltag.pdf (renamed from buch/papers/fm/FM presentation/Seydel2022_Book_HöhereMathematikImAlltag.pdf) | bin | 4118379 -> 4118379 bytes | |||
-rw-r--r-- | buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf | bin | 159598 -> 0 bytes | |||
-rw-r--r-- | buch/papers/fm/RS presentation/README.txt | 1 | ||||
-rw-r--r-- | buch/papers/fm/RS presentation/RS.tex | 123 |
32 files changed, 3 insertions, 126 deletions
diff --git a/buch/papers/fm/RS presentation/FM_presentation.tex b/buch/papers/fm/FM presentation/FM_presentation.tex index 92cb501..2801e69 100644 --- a/buch/papers/fm/RS presentation/FM_presentation.tex +++ b/buch/papers/fm/FM presentation/FM_presentation.tex @@ -1,4 +1,4 @@ -%% !TeX root = RS.tex +%% !TeX root = .tex \documentclass[11pt,aspectratio=169]{beamer} \usepackage[utf8]{inputenc} @@ -15,7 +15,7 @@ \logo{} \institute{OST Ostschweizer Fachhochschule} \date{16.5.2022} - \subject{Mathematisches Seminar} + \subject{Mathematisches Seminar - Spezielle Funktionen} %\setbeamercovered{transparent} \setbeamercovered{invisible} \setbeamertemplate{navigation symbols}{} diff --git a/buch/papers/fm/FM presentation/README.txt b/buch/papers/fm/FM presentation/README.txt new file mode 100644 index 0000000..65f390d --- /dev/null +++ b/buch/papers/fm/FM presentation/README.txt @@ -0,0 +1 @@ +Dies ist die Presentation des FM - Bessel
\ No newline at end of file diff --git a/buch/papers/fm/RS presentation/images/100HZ.png b/buch/papers/fm/FM presentation/images/100HZ.png Binary files differindex 371b9bf..371b9bf 100644 --- a/buch/papers/fm/RS presentation/images/100HZ.png +++ b/buch/papers/fm/FM presentation/images/100HZ.png diff --git a/buch/papers/fm/RS presentation/images/200HZ.png b/buch/papers/fm/FM presentation/images/200HZ.png Binary files differindex f6836bd..f6836bd 100644 --- a/buch/papers/fm/RS presentation/images/200HZ.png +++ b/buch/papers/fm/FM presentation/images/200HZ.png diff --git a/buch/papers/fm/RS presentation/images/300HZ.png b/buch/papers/fm/FM presentation/images/300HZ.png Binary files differindex 6762c1a..6762c1a 100644 --- a/buch/papers/fm/RS presentation/images/300HZ.png +++ b/buch/papers/fm/FM presentation/images/300HZ.png diff --git a/buch/papers/fm/RS presentation/images/400HZ.png b/buch/papers/fm/FM presentation/images/400HZ.png Binary files differindex 236c428..236c428 100644 --- a/buch/papers/fm/RS presentation/images/400HZ.png +++ b/buch/papers/fm/FM presentation/images/400HZ.png diff --git a/buch/papers/fm/RS presentation/images/bessel.png b/buch/papers/fm/FM presentation/images/bessel.png Binary files differindex f4c83ea..f4c83ea 100644 --- a/buch/papers/fm/RS presentation/images/bessel.png +++ b/buch/papers/fm/FM presentation/images/bessel.png diff --git a/buch/papers/fm/RS presentation/images/bessel2.png b/buch/papers/fm/FM presentation/images/bessel2.png Binary files differindex ccda3f9..ccda3f9 100644 --- a/buch/papers/fm/RS presentation/images/bessel2.png +++ b/buch/papers/fm/FM presentation/images/bessel2.png diff --git a/buch/papers/fm/RS presentation/images/bessel_beta1.png b/buch/papers/fm/FM presentation/images/bessel_beta1.png Binary files differindex 1f5c47e..1f5c47e 100644 --- a/buch/papers/fm/RS presentation/images/bessel_beta1.png +++ b/buch/papers/fm/FM presentation/images/bessel_beta1.png diff --git a/buch/papers/fm/RS presentation/images/bessel_frequenz.png b/buch/papers/fm/FM presentation/images/bessel_frequenz.png Binary files differindex 4f228b9..4f228b9 100644 --- a/buch/papers/fm/RS presentation/images/bessel_frequenz.png +++ b/buch/papers/fm/FM presentation/images/bessel_frequenz.png diff --git a/buch/papers/fm/RS presentation/images/beta_0.001.png b/buch/papers/fm/FM presentation/images/beta_0.001.png Binary files differindex 7e4e276..7e4e276 100644 --- a/buch/papers/fm/RS presentation/images/beta_0.001.png +++ b/buch/papers/fm/FM presentation/images/beta_0.001.png diff --git a/buch/papers/fm/RS presentation/images/beta_0.1.png b/buch/papers/fm/FM presentation/images/beta_0.1.png Binary files differindex e7722b3..e7722b3 100644 --- a/buch/papers/fm/RS presentation/images/beta_0.1.png +++ b/buch/papers/fm/FM presentation/images/beta_0.1.png diff --git a/buch/papers/fm/RS presentation/images/beta_0.5.png b/buch/papers/fm/FM presentation/images/beta_0.5.png Binary files differindex 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a/buch/papers/fm/FM presentation/Frequency modulation (FM) and Bessel functions.pdf b/buch/papers/fm/Quellen/Frequency modulation (FM) and Bessel functions.pdf Binary files differindex a6e701c..a6e701c 100644 --- a/buch/papers/fm/FM presentation/Frequency modulation (FM) and Bessel functions.pdf +++ b/buch/papers/fm/Quellen/Frequency modulation (FM) and Bessel functions.pdf diff --git a/buch/papers/fm/FM presentation/Seydel2022_Book_HöhereMathematikImAlltag.pdf b/buch/papers/fm/Quellen/Seydel2022_Book_HöhereMathematikImAlltag.pdf Binary files differindex 2a0bddd..2a0bddd 100644 --- a/buch/papers/fm/FM presentation/Seydel2022_Book_HöhereMathematikImAlltag.pdf +++ b/buch/papers/fm/Quellen/Seydel2022_Book_HöhereMathematikImAlltag.pdf diff --git a/buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf b/buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf Binary files differdeleted file mode 100644 index a6e701c..0000000 --- a/buch/papers/fm/RS presentation/Frequency modulation (FM) and Bessel functions.pdf +++ /dev/null diff --git a/buch/papers/fm/RS presentation/README.txt b/buch/papers/fm/RS presentation/README.txt deleted file mode 100644 index 4d0620f..0000000 --- a/buch/papers/fm/RS presentation/README.txt +++ /dev/null @@ -1 +0,0 @@ -Dies ist die Presentation des Reed-Solomon-Code
\ No newline at end of file diff --git a/buch/papers/fm/RS presentation/RS.tex b/buch/papers/fm/RS presentation/RS.tex deleted file mode 100644 index 8a67619..0000000 --- a/buch/papers/fm/RS presentation/RS.tex +++ /dev/null @@ -1,123 +0,0 @@ -%% !TeX root = RS.tex - -\documentclass[11pt,aspectratio=169]{beamer} -\usepackage[utf8]{inputenc} -\usepackage[T1]{fontenc} -\usepackage{lmodern} -\usepackage[ngerman]{babel} -\usepackage{tikz} -\usetheme{Hannover} - -\begin{document} - \author{Joshua Bär} - \title{FM - Bessel} - \subtitle{} - \logo{} - \institute{OST Ostschweizer Fachhochschule} - \date{16.5.2022} - \subject{Mathematisches Seminar- Spezielle Funktionen} - %\setbeamercovered{transparent} - \setbeamercovered{invisible} - \setbeamertemplate{navigation symbols}{} - \begin{frame}[plain] - \maketitle - \end{frame} -%------------------------------------------------------------------------------- -\section{Einführung} - \begin{frame} - \frametitle{Frequenzmodulation} - - \visible<1->{\begin{equation} \cos(\omega_c t+\beta\sin(\omega_mt))\end{equation}} - - \only<2>{\includegraphics[scale= 0.7]{images/fm_in_time.png}} - \only<3>{\includegraphics[scale= 0.7]{images/fm_frequenz.png}} - \only<4>{\includegraphics[scale= 0.7]{images/bessel_frequenz.png}} - - - \end{frame} -%------------------------------------------------------------------------------- -\section{Proof} -\begin{frame} - \frametitle{Bessel} - - \visible<1->{\begin{align} - \cos(\beta\sin\varphi) - &= - J_0(\beat) + 2\sum_{m=1}^\infty J_{2m}(\beta) \cos(2m\varphi) - \\ - \sin(\beta\sin\varphi) - &= - J_0(\beat) + 2\sum_{m=1}^\infty J_{2m}(\beta) \cos(2m\varphi) - \\ - J_{-n}(\beat) &= (-1)^n J_n(\beta) - \end{align}} - \visible<2->{\begin{align} - \cos(A + B) - &= - \cos(A)\cos(B)-\sin(A)\sin(B) - \\ - 2\cos (A)\cos (B) - &= - \cos(A-B)+\cos(A+B) - \\ - 2\sin(A)\sin(B) - &= - \cos(A-B)-\cos(A+B) - \end{align}} -\end{frame} - -%------------------------------------------------------------------------------- -\begin{frame} - \frametitle{Prof->Done} - \begin{align} - \cos(\omega_ct+\beta\sin(\omega_mt)) - &= - \sum_{k= -\infty}^\infty J_{k}(\beta) \cos((\omega_c+k\omgea_m)t) - \end{align} - \end{frame} -%------------------------------------------------------------------------------- - \begin{frame} - \begin{figure} - \only<1>{\includegraphics[scale = 0.75]{images/fm_frequenz.png}} - \only<2>{\includegraphics[scale = 0.75]{images/bessel_frequenz.png}} - \end{figure} - \end{frame} -%------------------------------------------------------------------------------- -\section{Input Parameter} - \begin{frame} - \frametitle{Träger-Frequenz Parameter} - \onslide<1->{\begin{equation}\cos(\omega_ct+\beta\sin(\omega_mt))\end{equation}} - \only<1>{\includegraphics[scale=0.75]{images/100HZ.png}} - \only<2>{\includegraphics[scale=0.75]{images/200HZ.png}} - \only<3>{\includegraphics[scale=0.75]{images/300HZ.png}} - \only<4>{\includegraphics[scale=0.75]{images/400HZ.png}} - \end{frame} -%------------------------------------------------------------------------------- -\begin{frame} -\frametitle{Modulations-Frequenz Parameter} -\onslide<1->{\begin{equation}\cos(\omega_ct+\beta\sin(\omega_mt))\end{equation}} -\only<1>{\includegraphics[scale=0.75]{images/fm_3Hz.png}} -\only<2>{\includegraphics[scale=0.75]{images/fm_5Hz.png}} -\only<3>{\includegraphics[scale=0.75]{images/fm_7Hz.png}} -\only<4>{\includegraphics[scale=0.75]{images/fm_10Hz.png}} -\only<5>{\includegraphics[scale=0.75]{images/fm_20Hz.png}} -\only<6>{\includegraphics[scale=0.75]{images/fm_30Hz.png}} -\end{frame} -%------------------------------------------------------------------------------- -\begin{frame} -\frametitle{Beta Parameter} - \onslide<1->{\begin{equation}\sum_{k= -\infty}^\infty J_{k}(\beta) \cos((\omega_c+k\omgea_m)t)\end{equation}} - \only<1>{\includegraphics[scale=0.7]{images/beta_0.001.png}} - \only<2>{\includegraphics[scale=0.7]{images/beta_0.1.png}} - \only<3>{\includegraphics[scale=0.7]{images/beta_0.5.png}} - \only<4>{\includegraphics[scale=0.7]{images/beta_1.png}} - \only<5>{\includegraphics[scale=0.7]{images/beta_2.png}} - \only<6>{\includegraphics[scale=0.7]{images/beta_3.png}} - \only<7>{\includegraphics[scale=0.7]{images/bessel.png}} -\end{frame} -%------------------------------------------------------------------------------- -\begin{frame} - \includegraphics[scale=0.5]{images/beta_1.png} - \includegraphics[scale=0.5]{images/bessel.png} -\end{frame} -\end{document} |