diff options
Diffstat (limited to '')
| -rw-r--r-- | buch/papers/reedsolomon/images/codiert.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/decodiert.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/empfangen.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/fehler.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/locator.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/plotfft.tex | 89 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/signal.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/images/syndrom.txt | 96 | ||||
| -rw-r--r-- | buch/papers/reedsolomon/tikz/polynomraw.tex (renamed from buch/papers/reedsolomon/images/polynom2.tex) | 21 |
9 files changed, 11 insertions, 771 deletions
diff --git a/buch/papers/reedsolomon/images/codiert.txt b/buch/papers/reedsolomon/images/codiert.txt deleted file mode 100644 index 4a481d8..0000000 --- a/buch/papers/reedsolomon/images/codiert.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,284 -1,131.570790435043 -2,41.9840308053375 -3,12.1189172092243 -4,23.8408857476069 -5,69.1793197789512 -6,24.0186013379153 -7,37.3066577242559 -8,18.2010889773887 -9,12.3214904922455 -10,15.6627133315015 -11,24.5237955316204 -12,32.1114345314062 -13,44.9845039238714 -14,13.5324640263625 -15,10.1736266929292 -16,4.58257569495584 -17,23.217268502288 -18,16.5769107917917 -19,6.89948680823017 -20,4.84567134895776 -21,10.4219666223433 -22,43.6179140616243 -23,35.9073375743642 -24,15.0332963783729 -25,21.7594021268945 -26,23.2496572716993 -27,17.9815599423852 -28,11.3577742151117 -29,38.467599433197 -30,28.3035029562577 -31,9.54321919833388 -32,21.377558326432 -33,17.6292439561917 -34,12.6951848921471 -35,20.0667752354841 -36,22.9097309529208 -37,8.78894645948548 -38,13.360682005498 -39,25.1757616314718 -40,38.0357773686457 -41,18.4633287776253 -42,19.0584505869806 -43,10.8631093309173 -44,12.6147770818983 -45,12.5398140021274 -46,34.901983501949 -47,22.3480442021702 -48,6 -49,22.3480442021702 -50,34.901983501949 -51,12.5398140021274 -52,12.6147770818983 -53,10.8631093309173 -54,19.0584505869806 -55,18.4633287776253 -56,38.0357773686457 -57,25.1757616314718 -58,13.360682005498 -59,8.78894645948548 -60,22.9097309529208 -61,20.0667752354841 -62,12.6951848921471 -63,17.6292439561917 -64,21.377558326432 -65,9.54321919833388 -66,28.3035029562577 -67,38.467599433197 -68,11.3577742151117 -69,17.9815599423852 -70,23.2496572716993 -71,21.7594021268945 -72,15.0332963783729 -73,35.9073375743642 -74,43.6179140616243 -75,10.4219666223433 -76,4.84567134895776 -77,6.89948680823017 -78,16.5769107917917 -79,23.217268502288 -80,4.58257569495584 -81,10.1736266929292 -82,13.5324640263625 -83,44.9845039238714 -84,32.1114345314062 -85,24.5237955316204 -86,15.6627133315015 -87,12.3214904922455 -88,18.2010889773887 -89,37.3066577242559 -90,24.0186013379153 -91,69.1793197789512 -92,23.8408857476069 -93,12.1189172092243 -94,41.9840308053375 -95,131.570790435043 diff --git a/buch/papers/reedsolomon/images/decodiert.txt b/buch/papers/reedsolomon/images/decodiert.txt deleted file mode 100644 index f6221e6..0000000 --- a/buch/papers/reedsolomon/images/decodiert.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,6.05208333333333 -1,6.02602539785853 -2,0.0261327016093151 -3,5.98927158561317 -4,4.019445724874 -5,0.0247005083663722 -6,4.97798278395618 -7,1.95246440445439 -8,0.974000110512201 -9,2.00528527696027 -10,1.00071804528155 -11,1.97630907888264 -12,0.0232923747656228 -13,6.01302820392331 -14,3.03567381915226 -15,5.02435590137329 -16,7.00526061008995 -17,5.00739608089369 -18,5.02211514480064 -19,4.02175864806658 -20,1.00236543833726 -21,4.98147315261261 -22,8.97728828610336 -23,8.98481304394618 -24,2.98958333333333 -25,1.98491220960989 -26,5.97728835934715 -27,5.98144124907561 -28,4.00163839998525 -29,2.02176249296313 -30,9.02210713874162 -31,1.00742763919872 -32,1.00557258081044 -33,1.02435888848794 -34,2.03577412756745 -35,6.01302820392331 -36,5.97917574041123 -37,0.976310374034338 -38,9.00062625447998 -39,7.00515849238528 -40,6.97396416790894 -41,0.95256880864368 -42,8.97794719866783 -43,9.01850701506487 -44,10.0194409579917 -45,8.98926601525997 -46,7.9866590265379 -47,5.02603060999077 -48,2.05208333333333 -49,4.02603841132848 -50,0.986882897867895 -51,0.0177592928994285 -52,9.01944131204563 -53,3.0185365665612 -54,2.97803642439316 -55,2.95243072164649 -56,4.97396651395488 -57,6.00516695947321 -58,0.0143895905726619 -59,7.97630812771393 -60,5.97917574041123 -61,9.01298821331865 -62,3.03567381915226 -63,4.02435609145793 -64,0.0275599094902563 -65,0.0115837187254191 -66,0.025877761014238 -67,0.0224618032819697 -68,0.04410594689944 -69,0.0474504002669341 -70,0.0227694695500626 -71,0.0271436638090525 -72,0.0104166666666667 -73,0.0271436638090523 -74,0.0227694695500608 -75,0.0474504002669343 -76,0.0441059468994397 -77,0.0224618032819701 -78,0.0258777610142379 -79,0.0115837187254183 -80,0.027559909490256 -81,0.0245124379481793 -82,0.0499782237195209 -83,0.0401432022864265 -84,0.0232923747656228 -85,0.0237974288564099 -86,0.0143895905726624 -87,0.0271745729691685 -88,0.0275599094902567 -89,0.0515501672184983 -90,0.0358255004834542 -91,0.024700508366373 -92,0.0210194725405171 -93,0.0177592928994296 -94,0.0261327016093158 -95,0.0314909067039411 diff --git a/buch/papers/reedsolomon/images/empfangen.txt b/buch/papers/reedsolomon/images/empfangen.txt deleted file mode 100644 index 38c13b0..0000000 --- a/buch/papers/reedsolomon/images/empfangen.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,284 -1,131.570790435043 -2,41.9840308053375 -3,12.1189172092243 -4,23.8408857476069 -5,69.1793197789512 -6,23.6290258699579 -7,37.3066577242559 -8,18.2010889773887 -9,12.3214904922455 -10,15.6627133315015 -11,24.5237955316204 -12,32.1114345314062 -13,44.9845039238714 -14,13.5324640263625 -15,10.1736266929292 -16,4.58257569495584 -17,23.217268502288 -18,16.5769107917917 -19,6.89948680823017 -20,5.55320238736303 -21,10.4219666223433 -22,43.6179140616243 -23,35.9073375743642 -24,15.0332963783729 -25,21.7594021268945 -26,23.2496572716993 -27,17.9815599423852 -28,11.3577742151117 -29,38.467599433197 -30,28.3035029562577 -31,9.54321919833388 -32,21.377558326432 -33,17.6292439561917 -34,12.6951848921471 -35,20.0667752354841 -36,22.9097309529208 -37,8.78894645948548 -38,13.360682005498 -39,25.1757616314718 -40,38.0357773686457 -41,18.4633287776253 -42,19.0584505869806 -43,10.8631093309173 -44,12.6147770818983 -45,12.5398140021274 -46,34.901983501949 -47,22.3480442021702 -48,6 -49,22.3480442021702 -50,34.901983501949 -51,12.5398140021274 -52,12.6147770818983 -53,10.8631093309173 -54,19.0584505869806 -55,18.4633287776253 -56,38.0357773686457 -57,25.1757616314718 -58,13.360682005498 -59,8.78894645948548 -60,22.9097309529208 -61,20.0667752354841 -62,12.6951848921471 -63,17.6292439561917 -64,21.377558326432 -65,9.54321919833388 -66,28.3035029562577 -67,38.467599433197 -68,11.3577742151117 -69,17.9815599423852 -70,23.2496572716993 -71,21.7594021268945 -72,15.0332963783729 -73,35.9073375743642 -74,44.6135417384784 -75,10.4219666223433 -76,4.84567134895776 -77,6.89948680823017 -78,16.5769107917917 -79,23.217268502288 -80,4.58257569495584 -81,10.1736266929292 -82,13.5324640263625 -83,44.9845039238714 -84,32.1114345314062 -85,24.5237955316204 -86,15.6627133315015 -87,12.3214904922455 -88,18.2010889773887 -89,37.3066577242559 -90,24.0186013379153 -91,69.1793197789512 -92,23.8408857476069 -93,12.1189172092243 -94,41.9840308053375 -95,131.570790435043 diff --git a/buch/papers/reedsolomon/images/fehler.txt b/buch/papers/reedsolomon/images/fehler.txt deleted file mode 100644 index 23f1a83..0000000 --- a/buch/papers/reedsolomon/images/fehler.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,0 -1,0 -2,0 -3,0 -4,0 -5,0 -6,2 -7,0 -8,0 -9,0 -10,0 -11,0 -12,0 -13,0 -14,0 -15,0 -16,0 -17,0 -18,0 -19,0 -20,2 -21,0 -22,0 -23,0 -24,0 -25,0 -26,0 -27,0 -28,0 -29,0 -30,0 -31,0 -32,0 -33,0 -34,0 -35,0 -36,0 -37,0 -38,0 -39,0 -40,0 -41,0 -42,0 -43,0 -44,0 -45,0 -46,0 -47,0 -48,0 -49,0 -50,0 -51,0 -52,0 -53,0 -54,0 -55,0 -56,0 -57,0 -58,0 -59,0 -60,0 -61,0 -62,0 -63,0 -64,0 -65,0 -66,0 -67,0 -68,0 -69,0 -70,0 -71,0 -72,0 -73,0 -74,1 -75,0 -76,0 -77,0 -78,0 -79,0 -80,0 -81,0 -82,0 -83,0 -84,0 -85,0 -86,0 -87,0 -88,0 -89,0 -90,0 -91,0 -92,0 -93,0 -94,0 -95,0 diff --git a/buch/papers/reedsolomon/images/locator.txt b/buch/papers/reedsolomon/images/locator.txt deleted file mode 100644 index b28988c..0000000 --- a/buch/papers/reedsolomon/images/locator.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,0.0301224340567056 -1,0.141653026854885 -2,0.138226631799377 -3,0.0339903276086929 -4,0.310585462557496 -5,0.551427312631385 -6,0.628514858396814 -7,0.51102386251559 -8,0.275861355940449 -9,0.0502396354182268 -10,0.090185502547573 -11,0.110759344849756 -12,0.0684618905063001 -13,0.0362855426992259 -14,0.0697096919781468 -15,0.109288539370248 -16,0.0923187999496653 -17,0.0512198536768088 -18,0.274192386987782 -19,0.51349614953654 -20,0.633154426602466 -21,0.553283743533942 -22,0.307840573214514 -23,0.0341664350328392 -24,0.140270857957 -25,0.138527177682831 -26,0.029637547736156 -27,0.0816962563186052 -28,0.0944383203811073 -29,0.0263932110686261 -30,0.0585881348402056 -31,0.0737117341599984 -32,0.0239973937701886 -33,0.0464215468420038 -34,0.0616218854220964 -35,0.0221963086695009 -36,0.0390764778127646 -37,0.0537637218396934 -38,0.0208333333333332 -39,0.0343107696069045 -40,0.0483441215964552 -41,0.0198077862118806 -42,0.0311207395968725 -43,0.0444955089373458 -44,0.0190533549944159 -45,0.0290049795038723 -46,0.0417536642697558 -47,0.0185261550443084 -48,0.0277059929762261 -49,0.0398606084144816 -50,0.0181978813094817 -51,0.0271098219177584 -52,0.0386836665079729 -53,0.0180518611046889 -54,0.0272138992557141 -55,0.0381891287148314 -56,0.0180809085252469 -57,0.0281418959420061 -58,0.0384596362516637 -59,0.0182864418432272 -60,0.0302250788423173 -61,0.0397874837986351 -62,0.0186786556701694 -63,0.0342489348284216 -64,0.0429932815348666 -65,0.0192777878591759 -66,0.0422808966931999 -67,0.0506815964680563 -68,0.0201167847752226 -69,0.0615048274405271 -70,0.0744953894508454 -71,0.021246054596492 -72,0.142602265816215 -73,0.273502052865436 -74,0.325309673287599 -75,0.272705389655349 -76,0.149074257381345 -77,0.0247199397628712 -78,0.0680137859566976 -79,0.075388270873485 -80,0.0273637831604903 -81,0.0407867704453274 -82,0.0632964886441949 -83,0.0309749128751093 -84,0.0315202035072035 -85,0.0627625211892184 -86,0.0360843918243497 -87,0.02794920551495 -88,0.0677921493367236 -89,0.0437167157553067 -90,0.0270640150996317 -91,0.0783380025231622 -92,0.0561293738314281 -93,0.0278742033265809 -94,0.0981443889498639 -95,0.0794543457386548 diff --git a/buch/papers/reedsolomon/images/plotfft.tex b/buch/papers/reedsolomon/images/plotfft.tex deleted file mode 100644 index 83a89eb..0000000 --- a/buch/papers/reedsolomon/images/plotfft.tex +++ /dev/null @@ -1,89 +0,0 @@ -% -% Plot der Übertrangungsabfolge ins FFT und zurück mit IFFT -% -\begin{tikzpicture}[] - -%--------------------------------------------------------------- - %Knote -\matrix[draw = none, column sep=25mm, row sep=2mm]{ - \node(signal) [] { - \begin{tikzpicture} - \begin{axis} - [title = {\Large {Signal}}, - xlabel={Anzahl Übertragene Zahlen}, - xtick={0,20,40,64,80,98},] - \addplot[blue] table[col sep=comma] {papers/reedsolomon/images/signal.txt}; - \end{axis} - \end{tikzpicture}}; & - - \node(codiert) [] { - \begin{tikzpicture} - \begin{axis}[title = {\Large {Codiert}}] - \addplot[] table[col sep=comma] {papers/reedsolomon/images/codiert.txt}; - \end{axis} - \end{tikzpicture}}; \\ - - &\node(fehler) [] { - \begin{tikzpicture} - \begin{axis}[scale=0.6, title = {\Large {Fehler}}, - xtick={7,21,75}] - \addplot[red] table[col sep=comma] {papers/reedsolomon/images/fehler.txt}; - \end{axis} - \end{tikzpicture}};\\ - - \node(decodiert) [] { - \begin{tikzpicture} - \begin{axis}[title = {\Large {Decodiert}}] - \addplot[blue] table[col sep=comma] {papers/reedsolomon/images/decodiert.txt}; - \end{axis} - \end{tikzpicture}}; & - - \node(empfangen) [] { - \begin{tikzpicture} - \begin{axis}[title = {\Large {Empfangen}}] - \addplot[] table[col sep=comma] {papers/reedsolomon/images/empfangen.txt}; - \end{axis} - \end{tikzpicture}};\\ - - \node(syndrom) [] { - \begin{tikzpicture} - \begin{axis}[title = {\Large {Syndrom}}] - \addplot[blue] table[col sep=comma] {papers/reedsolomon/images/syndrom.txt}; - \end{axis} - \end{tikzpicture}}; & - - \node(locator) [] { - \begin{tikzpicture} - \begin{axis}[title = {\Large {Locator}}] - \addplot[] table[col sep=comma] {papers/reedsolomon/images/locator.txt}; - \end{axis} - \end{tikzpicture}};\\ -}; -%------------------------------------------------------------- - %FFT & IFFT deskription - -\draw[thin,gray,dashed] (0,12) to (0,-12); -\node(IFFT) [scale=0.7] at (0,12.3) {IFFT}; -\draw[<-](IFFT.south west)--(IFFT.south east); -\node(FFT) [scale=0.7, above of=IFFT] {FFT}; -\draw[->](FFT.north west)--(FFT.north east); - -\draw[thick, ->,] (fehler.west)++(-1,0) +(0.05,0.5) -- +(-0.1,-0.1) -- +(0.1,0.1) -- +(0,-0.5); -%Arrows -\draw[ultra thick, ->] (signal.east) to (codiert.west); -\draw[ultra thick, ->] (codiert.south) to (fehler.north); -\draw[ultra thick, ->] (fehler.south) to (empfangen.north); -\draw[ultra thick, ->] (empfangen.west) to (decodiert.east); -\draw[ultra thick, ->] (syndrom.east) to (locator.west); -\draw(decodiert.south east)++(-1.8,1) ellipse (1.3cm and 0.8cm) ++(-1.3,0) coordinate(zoom) ; -\draw[ultra thick, ->] (zoom) to[out=180, in=90] (syndrom.north); - -%item -\node[circle, draw, fill =lightgray] at (signal.north west) {1}; -\node[circle, draw, fill =lightgray] at (codiert.north west) {2}; -\node[circle, draw, fill =lightgray] at (fehler.north west) {3}; -\node[circle, draw, fill =lightgray] at (empfangen.north west) {4}; -\node[circle, draw, fill =lightgray] at (decodiert.north west) {5}; -\node[circle, draw, fill =lightgray] at (syndrom.north west) {6}; -\node[circle, draw, fill =lightgray] at (locator.north west) {7}; -\end{tikzpicture}
\ No newline at end of file diff --git a/buch/papers/reedsolomon/images/signal.txt b/buch/papers/reedsolomon/images/signal.txt deleted file mode 100644 index c4fa5f8..0000000 --- a/buch/papers/reedsolomon/images/signal.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,6 -1,6 -2,0 -3,6 -4,4 -5,0 -6,5 -7,2 -8,1 -9,2 -10,1 -11,2 -12,0 -13,6 -14,3 -15,5 -16,7 -17,5 -18,5 -19,4 -20,1 -21,5 -22,9 -23,9 -24,3 -25,2 -26,6 -27,6 -28,4 -29,2 -30,9 -31,1 -32,1 -33,1 -34,2 -35,6 -36,6 -37,1 -38,9 -39,7 -40,7 -41,1 -42,9 -43,9 -44,10 -45,9 -46,8 -47,5 -48,2 -49,4 -50,1 -51,0 -52,9 -53,3 -54,3 -55,3 -56,5 -57,6 -58,0 -59,8 -60,6 -61,9 -62,3 -63,4 -64,0 -65,0 -66,0 -67,0 -68,0 -69,0 -70,0 -71,0 -72,0 -73,0 -74,0 -75,0 -76,0 -77,0 -78,0 -79,0 -80,0 -81,0 -82,0 -83,0 -84,0 -85,0 -86,0 -87,0 -88,0 -89,0 -90,0 -91,0 -92,0 -93,0 -94,0 -95,0 diff --git a/buch/papers/reedsolomon/images/syndrom.txt b/buch/papers/reedsolomon/images/syndrom.txt deleted file mode 100644 index 8ca9eed..0000000 --- a/buch/papers/reedsolomon/images/syndrom.txt +++ /dev/null @@ -1,96 +0,0 @@ -0,0 -1,0 -2,0 -3,0 -4,0 -5,0 -6,0 -7,0 -8,0 -9,0 -10,0 -11,0 -12,0 -13,0 -14,0 -15,0 -16,0 -17,0 -18,0 -19,0 -20,0 -21,0 -22,0 -23,0 -24,0 -25,0 -26,0 -27,0 -28,0 -29,0 -30,0 -31,0 -32,0 -33,0 -34,0 -35,0 -36,0 -37,0 -38,0 -39,0 -40,0 -41,0 -42,0 -43,0 -44,0 -45,0 -46,0 -47,0 -48,0 -49,0 -50,0 -51,0 -52,0 -53,0 -54,0 -55,0 -56,0 -57,0 -58,0 -59,0 -60,0 -61,0 -62,0 -63,0 -64,0.0275599094902563 -65,0.0115837187254191 -66,0.025877761014238 -67,0.0224618032819697 -68,0.04410594689944 -69,0.0474504002669341 -70,0.0227694695500626 -71,0.0271436638090525 -72,0.0104166666666667 -73,0.0271436638090523 -74,0.0227694695500608 -75,0.0474504002669343 -76,0.0441059468994397 -77,0.0224618032819701 -78,0.0258777610142379 -79,0.0115837187254183 -80,0.027559909490256 -81,0.0245124379481793 -82,0.0499782237195209 -83,0.0401432022864265 -84,0.0232923747656228 -85,0.0237974288564099 -86,0.0143895905726624 -87,0.0271745729691685 -88,0.0275599094902567 -89,0.0515501672184983 -90,0.0358255004834542 -91,0.024700508366373 -92,0.0210194725405171 -93,0.0177592928994296 -94,0.0261327016093158 -95,0.0314909067039411 diff --git a/buch/papers/reedsolomon/images/polynom2.tex b/buch/papers/reedsolomon/tikz/polynomraw.tex index 288b51c..02968fd 100644 --- a/buch/papers/reedsolomon/images/polynom2.tex +++ b/buch/papers/reedsolomon/tikz/polynomraw.tex @@ -1,12 +1,11 @@ -% polynome -%------------------- -% Teiler für das Skalieren der Grafik /40 +% polynomraw + \newcommand{\teiler}{40} %////////////////////////////////////// -\begin{tikzpicture}[>=latex,thick] +\begin{tikzpicture}[>=latex,thick,] \draw[color=blue, line width=1.4pt] plot[domain=0:8, samples=100] ({\x},{(2*\x^2+1*\x+5)/\teiler}); @@ -21,9 +20,14 @@ \def\hellpunkt#1{ \fill[color=lightgray] #1 circle[radius=0.08]; - \draw #1 circle[radius=0.07]; + \draw[gray] #1 circle[ radius=0.07]; } + \draw[color=gray,line width=1pt,dashed] + plot[domain=0.5:7, samples=100] + ({\x},{(7.832*\x^2-51.5*\x+121.668)/\teiler}); + + \punkt{(1,8/\teiler)} \hellpunkt{(2,15/\teiler)} \hellpunkt{(3,26/\teiler)} @@ -32,9 +36,7 @@ \punkt{(6,83/\teiler)} \punkt{(7,110/\teiler)} - \draw[color=gray,line width=1pt,dashed] - plot[domain=0.5:7, samples=100] - ({\x},{(7.832*\x^2-51.5*\x+121.668)/\teiler}); + \def\erpunkt#1{ \fill[color=red] #1 circle[radius=0.08]; @@ -45,5 +47,4 @@ \draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}]; \draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}]; -\end{tikzpicture} -%\end{document} +\end{tikzpicture}
\ No newline at end of file |