Applets:Capacity of Memoryless Digital Channels - Revision history

Höfler: Text replacement - "Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29" to "Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_from_1974-2024.29"

2025-02-24T13:39:54Z

Text replacement - "Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29" to "Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_from_1974-2024.29"

Höfler: Text replacement - "[[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|" to "[[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Benedikt_Leible_.28at_L.C3.9CT_since_2017.29|"

2025-02-03T13:48:55Z

Text replacement - "[[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|" to "[[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Benedikt_Leible_.28at_L.C3.9CT_since_2017.29|"

Höfler: Text replacement - "Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28at_L.C3.9CT_since_2014.29" to "Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28at_L.C3.9CT_from_2014-2022.29"

2023-10-26T10:17:43Z

Text replacement - "Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28at_L.C3.9CT_since_2014.29" to "Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28at_L.C3.9CT_from_2014-2022.29"

Hwang at 18:10, 21 March 2023

2023-03-21T18:10:23Z

Guenter at 13:29, 13 March 2023

2023-03-13T13:29:36Z

Guenter at 13:41, 1 March 2023

2023-03-01T13:41:50Z

Guenter at 13:33, 1 March 2023

2023-03-01T13:33:42Z

Guenter at 13:31, 1 March 2023

2023-03-01T13:31:45Z

Guenter at 13:25, 1 March 2023

2023-03-01T13:25:26Z

Guenter at 14:36, 28 February 2023

2023-02-28T14:36:18Z

@@ Line 424: / Line 424: @@
 <br>
 This interactive calculation tool was designed and implemented at the&nbsp; [https://www.ei.tum.de/en/lnt/home/ $\text{Institute for Communications Engineering}$]&nbsp; at the&nbsp; [https://www.tum.de/en $\text{Technical University of Munich}$].
-*The first version was created in 2010 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Martin_V.C3.B6lkl_.28Diplomarbeit_LB_2010.29|Martin Völkl]]&nbsp; as part of his diploma thesis with “FlashMX – Actionscript”.&nbsp; Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29|Günter Söder]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Dr.-Ing._Klaus_Eichin_.28at_LNT_from_1972-2011.29|Klaus Eichin]].
+*The first version was created in 2010 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Martin_V.C3.B6lkl_.28Diplomarbeit_LB_2010.29|Martin Völkl]]&nbsp; as part of his diploma thesis with “FlashMX – Actionscript”.&nbsp; Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_from_1974-2024.29|Günter Söder]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Dr.-Ing._Klaus_Eichin_.28at_LNT_from_1972-2011.29|Klaus Eichin]].
 *In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Benedikt_Leible_.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28at_L.C3.9CT_from_2014-2022.29|Tasnád Kernetzky]].

@@ Line 426: / Line 426: @@
 *The first version was created in 2010 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Martin_V.C3.B6lkl_.28Diplomarbeit_LB_2010.29|Martin Völkl]]&nbsp; as part of his diploma thesis with “FlashMX – Actionscript”.&nbsp; Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29|Günter Söder]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Dr.-Ing._Klaus_Eichin_.28at_LNT_from_1972-2011.29|Klaus Eichin]].
-*In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28at_L.C3.9CT_from_2014-2022.29|Tasnád Kernetzky]].
+*In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Benedikt_Leible_.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28at_L.C3.9CT_from_2014-2022.29|Tasnád Kernetzky]].
 *Last revision and English version 2021 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29|Carolin Mirschina]]&nbsp; in the context of a working student activity.&nbsp;

@@ Line 426: / Line 426: @@
 *The first version was created in 2010 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Martin_V.C3.B6lkl_.28Diplomarbeit_LB_2010.29|Martin Völkl]]&nbsp; as part of his diploma thesis with “FlashMX – Actionscript”.&nbsp; Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29|Günter Söder]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Dr.-Ing._Klaus_Eichin_.28at_LNT_from_1972-2011.29|Klaus Eichin]].
-*In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28at_L.C3.9CT_since_2014.29|Tasnád Kernetzky]].
+*In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Dr.-Ing._Tasn.C3.A1d_Kernetzky_.28at_L.C3.9CT_from_2014-2022.29|Tasnád Kernetzky]].
 *Last revision and English version 2021 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29|Carolin Mirschina]]&nbsp; in the context of a working student activity.&nbsp;

@@ Line 428: / Line 428: @@
 *In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28at_L.C3.9CT_since_2014.29|Tasnád Kernetzky]].
-*Last revision and English version 2021 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29|Carolin Mirschina]]&nbsp; in the context of a working student activity.&nbsp; Translation using&nbsp; $\text{DEEPL.com (free version)}$.
+*Last revision and English version 2021 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29|Carolin Mirschina]]&nbsp; in the context of a working student activity.&nbsp;
 *The conversion of this applet was financially supported by&nbsp; [https://www.ei.tum.de/studium/studienzuschuesse/ $\text{Studienzuschüsse}$]&nbsp; $($TUM Department of Electrical and Computer Engineering$)$.&nbsp; $\text{Many thanks}$.

@@ Line 424: / Line 424: @@
 <br>
 This interactive calculation tool was designed and implemented at the&nbsp; [https://www.ei.tum.de/en/lnt/home/ $\text{Institute for Communications Engineering}$]&nbsp; at the&nbsp; [https://www.tum.de/en $\text{Technical University of Munich}$].
-*The first version was created in 2010 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Martin_V.C3.B6lkl_.28Diplomarbeit_LB_2010.29|$\text{Martin Völkl}$]]&nbsp; as part of his diploma thesis with “FlashMX – Actionscript”.&nbsp; Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29|Günter Söder]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Dr.-Ing._Klaus_Eichin_.28at_LNT_from_1972-2011.29|Klaus Eichin]].
+*The first version was created in 2010 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Martin_V.C3.B6lkl_.28Diplomarbeit_LB_2010.29|Martin Völkl]]&nbsp; as part of his diploma thesis with “FlashMX – Actionscript”.&nbsp; Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._G.C3.BCnter_S.C3.B6der_.28at_LNT_since_1974.29|Günter Söder]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Dr.-Ing._Klaus_Eichin_.28at_LNT_from_1972-2011.29|Klaus Eichin]].
-*In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|$\text{Veronika Hofmann}$]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28at_L.C3.9CT_since_2014.29|Tasnád Kernetzky]].
+*In 2020 the program was redesigned via HTML5/JavaScript by&nbsp; [[Biographies_and_Bibliographies/An_LNTwww_beteiligte_Studierende#Veronika_Hofmann_.28Ingenieurspraxis_Math_2020.29|Veronika Hofmann]]&nbsp;  (Ingenieurspraxis Mathematik, Supervisor:&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Benedikt_Leible.2C_M.Sc._.28at_L.C3.9CT_since_2017.29|Benedikt Leible]]&nbsp; and&nbsp; [[Biographies_and_Bibliographies/LNTwww_members_from_LÜT#Tasn.C3.A1d_Kernetzky.2C_M.Sc._.28at_L.C3.9CT_since_2014.29|Tasnád Kernetzky]].
-*Last revision and English version 2021 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29|$\text{Carolin Mirschina}$]]&nbsp; in the context of a working student activity.&nbsp; Translation using&nbsp; $\text{DEEPL.com (free version)}$.
+*Last revision and English version 2021 by&nbsp; [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29|Carolin Mirschina]]&nbsp; in the context of a working student activity.&nbsp; Translation using&nbsp; $\text{DEEPL.com (free version)}$.
 *The conversion of this applet was financially supported by&nbsp; [https://www.ei.tum.de/studium/studienzuschuesse/ $\text{Studienzuschüsse}$]&nbsp; $($TUM Department of Electrical and Computer Engineering$)$.&nbsp; $\text{Many thanks}$.

@@ Line 400: / Line 400: @@
 [[File:Anleitung_transinformation.png|left|600px|frame|Screenshot of the German version]]
 <br><br><br><br>
-&nbsp; &nbsp; '''(A)''' &nbsp; &nbsp; Possibility to select whether &nbsp;"analytically"&nbsp; or &nbsp;"by simulation"
+&nbsp; &nbsp; '''(A)''' &nbsp; &nbsp; Select whether &nbsp;"analytically"&nbsp; or &nbsp;"by simulation"
 &nbsp; &nbsp; '''(B)''' &nbsp; &nbsp; Setting of the parameter&nbsp; $N$&nbsp; for the simulation
@@ Line 418: / Line 418: @@
 &nbsp; &nbsp; '''(I)''' &nbsp; &nbsp; Associated simulated sink symbol sequence
-&nbsp; &nbsp; '''(J)''' &nbsp; &nbsp; Exercise area:  Exercise selection, questions, sample solutions
+&nbsp; &nbsp; '''(J)''' &nbsp; &nbsp; Exercise area:  Selection, questions, sample solutions
 <br clear=all>

@@ Line 104: / Line 104: @@
-[[File:EN_Inf_T_4_2_S2.png|EN_Inf_T_4_2_S2.png|center|frame|Two information-theoretic models for digital signal transmission.
+[[File:EN_Inf_T_3_3_S2_vers2.png|EN_Inf_T_4_2_S2.png|center|frame|Two information-theoretic models for digital signal transmission.
-<br> &nbsp; &nbsp; <u>Please note:</u>&nbsp; In the right graph&nbsp; $H_{XY}$&nbsp; cannot be represented '''Korrektur''']]
+<br> &nbsp; &nbsp; <u>Please note:</u>&nbsp; In the right graph&nbsp; $H_{XY}$&nbsp; cannot be represented]]
 *The&nbsp; &raquo;'''source entropy'''&laquo;&nbsp; $H(X)$&nbsp; denotes the average information content of the source symbol sequence.&nbsp; With the symbol set size&nbsp; $|X|$&nbsp; applies:

@@ Line 228: / Line 228: @@
 :$$\Rightarrow\hspace{0.30cm}H(XY) =  3 \cdot p_{\rm Aa} \cdot {\rm log_2}\hspace{0.1cm}\frac{1}{\hspace{0.1cm}p_{\rm Aa}\hspace{0.1cm}  }+6 \cdot p_{\rm Ab} \cdot {\rm log_2}\hspace{0.1cm}\frac{1}{\hspace{0.1cm}p_{\rm Ab}\hspace{0.1cm} }= \
 \text{...} \ = q \cdot {\rm log_2}\hspace{0.1cm}\frac{M}{q }+ (1-q) \cdot {\rm log_2}\hspace{0.1cm}\frac{M}{(1-q)/2 }.$$
-[[File:Transinf_10.png|right|frame|Some results for&nbsp; $\text{Example 3}$ '''KORREKTUR''']]
+[[File:Transinf_10.png|right|frame|Some results for&nbsp; $\text{Example 3}$]]
 '''(4)'''&nbsp; For the mutual information we get after some transformations considering the equation&nbsp;
 :$$I(X;Y) = H(X) + H(Y) - H(XY)\text{:}$$
@@ Line 272: / Line 272: @@
 {{GraueBox|TEXT=
-[[File:Transinf_9.png|right|frame|Information-theoretic quantities for <br>different&nbsp; $p_{\rm A}$&nbsp; and&nbsp; $p_{\rm B}= 1- p_{\rm A}$ '''KORREKTUR''']]
+[[File:Transinf_9.png|right|frame|Information-theoretic quantities for <br>different&nbsp; $p_{\rm A}$&nbsp; and&nbsp; $p_{\rm B}= 1- p_{\rm A}$ ]]
 $\text{Example 4}$:&nbsp; We consider the same discrete memoryless channel as in &nbsp;$\text{Example 2}$.&nbsp;
 *The symbol probabilities&nbsp; $p_{\rm A} = 0.1$&nbsp; and&nbsp; $p_{\rm B}= 1- p_{\rm A}=0.9$&nbsp; were assumed.&nbsp;