Applets:Principle of 4B3T Coding - Revision history

Maintenance script: Join split $$ formula lines for correct rendering

2026-03-16T13:49:04Z

Join split $$ formula lines for correct rendering

Noah at 16:14, 26 April 2023

2023-04-26T16:14:35Z

← Older revision		Revision as of 18:14, 26 April 2023
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	'''(D)'''     Calculation of  "Running Digital Sum"		'''(D)'''     Calculation of  "Running Digital Sum"

	'''(E)'''     ~~Blockweise Bitänderung~~		'''(E)'''     Blockwise bit change

	'''(F)'''     Graphic area for the source signal  $q(t)$		'''(F)'''     Graphic area for the source signal  $q(t)$

Noah at 16:13, 26 April 2023

2023-04-26T16:13:12Z

← Older revision		Revision as of 18:13, 26 April 2023
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	'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$		'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$

	'''(C)'''     "MS43"§  or  "MMS43"		'''(C)'''     "MS43"  or  "MMS43"

	'''(D)'''     Calculation of  "Running Digital Sum"		'''(D)'''     Calculation of  "Running Digital Sum"

Noah at 16:13, 26 April 2023

2023-04-26T16:13:01Z

← Older revision		Revision as of 18:13, 26 April 2023
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	'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$		'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$

	''(C)'''     "MS43"§  or  "MMS43"		'''(C)'''     "MS43"§  or  "MMS43"

	'''(D)'''     Calculation of  "Running Digital Sum"		'''(D)'''     Calculation of  "Running Digital Sum"

Noah at 16:12, 26 April 2023

2023-04-26T16:12:47Z

← Older revision		Revision as of 18:12, 26 April 2023
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	'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$		'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$

	''(C)'''     ~~'''~~MS43'  or  "MMS43"		''(C)'''     "MS43"§  or  "MMS43"

	'''(D)'''     Calculation of  "Running Digital Sum"		'''(D)'''     Calculation of  "Running Digital Sum"

Noah at 16:12, 26 April 2023

2023-04-26T16:12:23Z

← Older revision		Revision as of 18:12, 26 April 2023
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	'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$		'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$

	''(C)'''     '''MS43'  or  ~~'''~~MMS43~~'''~~		''(C)'''     '''MS43'  or  "MMS43"

	'''(D)'''     Calculation of  "Running Digital Sum"		'''(D)'''     Calculation of  "Running Digital Sum"

Noah at 16:11, 26 April 2023

2023-04-26T16:11:43Z

← Older revision		Revision as of 18:11, 26 April 2023
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	[[File:Exercise_4B3T.png\|right\|600px\|frame\|Screenshot]]		[[File:Exercise_4B3T.png\|right\|600px\|frame\|Screenshot]]
	<br><br>		<br><br>
	'''(A)'''     ~~Auswahl der Quellensymbolfolge~~:  $\rm A$,  $\rm B$  ~~oder~~  $\rm C$		'''(A)'''     Selection of source symbol sequence:  $\rm A$,  $\rm B$  or  $\rm C$.

	'''(B)'''     ~~Programmoptionen~~ <br>~~   ~~             $($~~Zufallsfolge~~,  ~~blockweise~~ RDS~~-Berechnung~~,  ~~Gesamtansicht~~,  Reset$)$		'''(B)'''     Program Options <br>            $($random sequence,  blockwise RDS calculation,  total view,  Reset$)$

	'''(C)'''     "MS43"  ~~oder~~  "MMS43"		''(C)'''     '''MS43'  or  '''MMS43'''

	'''(D)'''     ~~Berechnung der~~  "Running Digital Sum"		'''(D)'''     Calculation of  "Running Digital Sum"

	'''(E)'''     Blockweise Bitänderung		'''(E)'''     Blockweise Bitänderung

	'''(F)'''     ~~Grafikbereich für das Quellensignal~~  $q(t)$		'''(F)'''     Graphic area for the source signal  $q(t)$

	'''(G)'''     ~~Grafikbereich für das Codersignal~~  $c(t)$		'''(G)'''     Graphic area for the encoder signal  $c(t)$

	'''(H)'''     ~~Gesamtdarstellung der Werte~~  ${\it \Sigma}_0,\ {\it \Sigma}_1, \ {\it \Sigma}_2, \ {\it \Sigma}_4$  ~~für~~  "MS43"  ~~und~~  "MMS43"		'''(H)'''     Total plot of values  ${\it \Sigma}_0,\ {\it \Sigma}_1, \ {\it \Sigma}_2, \ {\it \Sigma}_4$  for  "MS43"  and  "MMS43"

	'''(I)'''     ~~Aufgabenauswahl~~		'''(I)'''     Exercise selection.

	'''(I)'''     ~~Fragen und Lösungen~~		'''(I)'''     Questions and solutions

	<br clear=all>		<br clear=all>

Guenter at 13:08, 21 April 2023

2023-04-21T13:08:42Z

← Older revision		Revision as of 15:08, 21 April 2023
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	[[File:Exercise_4B3T.png\|right\|600px\|frame\|Screenshot]]		[[File:Exercise_4B3T.png\|right\|600px\|frame\|Screenshot]]
	~~<br><br>~~<br><br>		<br><br>
	'''(A)'''     ~~Selection of one of four source signals~~		'''(A)'''     Auswahl der Quellensymbolfolge:  $\rm A$,  $\rm B$  oder  $\rm C$

	'''(B)'''     ~~Selection of parameters for source signal~~  $1$  ~~(amplitude~~, ~~frequency~~, ~~phase~~)		'''(B)'''     Programmoptionen <br>                $($Zufallsfolge,  blockweise RDS-Berechnung,  Gesamtansicht,  Reset$)$

	'''(C)'''     ~~Output of the used program parameters.~~		'''(C)'''     "MS43"  oder  "MMS43"

	'''(D)'''     ~~Parameter selection for sampling~~  ~~$(f_{\rm G})$  and <br>                signal reconstruction  $(f_{\rm A},\ r)$~~		'''(D)'''     Berechnung der  "Running Digital Sum"

	'''(E)'''     ~~Sketch of the receiver–frequency response  $H_{\rm E}(f)$~~		'''(E)'''     Blockweise Bitänderung

	'''(F)'''     ~~Numerical output~~  $(~~P_x, \ P_{\rm \varepsilon}, \ 10 \cdot \lg(P_x/ P_{\rm \varepsilon}~~)$		'''(F)'''     Grafikbereich für das Quellensignal  $q(t)$

	'''(G)'''     ~~Display selection for time domain~~		'''(G)'''     Grafikbereich für das Codersignal  $c(t)$

	'''(H)'''     ~~Graphics area for time domain~~		'''(H)'''     Gesamtdarstellung der Werte  ${\it \Sigma}_0,\ {\it \Sigma}_1, \ {\it \Sigma}_2, \ {\it \Sigma}_4$  für  "MS43"  und  "MMS43"

	'''( I )'''     ~~Display selection for frequency domain~~		'''(I)'''     Aufgabenauswahl

	'''(J)'''     ~~Graphics area for frequency domain~~		'''(I)'''     Fragen und Lösungen

	~~    '''(K)'''     Exercise area:  Exercise selection, questions, solution.~~
	<br clear=all>		<br clear=all>
	==About the Authors==		==About the Authors==

Guenter at 12:20, 21 April 2023

2023-04-21T12:20:09Z

← Older revision		Revision as of 14:20, 21 April 2023
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	==Applet Manual==		==Applet Manual==
	~~<br>~~
	[[File:Exercise_4B3T.png\|right\|600px]] ~~'''Korrektur'''~~		[[File:Exercise_4B3T.png\|right\|600px\|frame\|Screenshot]]
	<br><br><br><br>		<br><br><br><br>
	'''(A)'''     Selection of one of four source signals		'''(A)'''     Selection of one of four source signals

Guenter at 15:48, 20 April 2023

2023-04-20T15:48:34Z

← Older revision		Revision as of 17:48, 20 April 2023
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	==Applet Manual==		==Applet Manual==
	<br>		<br>
	[[~~Datei~~:~~Anleitung_4B3T~~.png\|right\|600px]] '''Korrektur'''		[[File:Exercise_4B3T.png\|right\|600px]] '''Korrektur'''
	<br><br><br><br>		<br><br><br><br>
	'''(A)'''     Selection of one of four source signals		'''(A)'''     Selection of one of four source signals

← Older revision		Revision as of 15:49, 16 March 2026
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	The best known block code for transmission coding is the   '''4B3T code'''   with the code parameters		The best known block code for transmission coding is the   '''4B3T code'''   with the code parameters
	:$$m_q = 4,\hspace{0.2cm}M_q = 2,\hspace{0.2cm}m_c =		:$$m_q = 4,\hspace{0.2cm}M_q = 2,\hspace{0.2cm}m_c =3,\hspace{0.2cm}M_c = 3\hspace{0.05cm},$$
	3,\hspace{0.2cm}M_c = 3\hspace{0.05cm},$$

	which was developed in the 1970s and is used,  for example,  in  [[Examples_of_Communication_Systems/Allgemeine_Beschreibung_von_ISDN\|"ISDN"]]  ("Integrated Services Digital Networks").		which was developed in the 1970s and is used,  for example,  in  [[Examples_of_Communication_Systems/Allgemeine_Beschreibung_von_ISDN\|"ISDN"]]  ("Integrated Services Digital Networks").
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	After the transmission of  $l$  coded blocks,  the  "running digital sum"  with ternary amplitude coefficients  $a_\nu \in \{ -1, \ 0, +1\}$:		After the transmission of  $l$  coded blocks,  the  "running digital sum"  with ternary amplitude coefficients  $a_\nu \in \{ -1, \ 0, +1\}$:
	[[File:EN_Dig_T_2_3_S2.png\|right\|frame\|Code tables for three 4B3T codes\|class=fit]]		[[File:EN_Dig_T_2_3_S2.png\|right\|frame\|Code tables for three 4B3T codes\|class=fit]]
	:$${\it \Sigma}_l = \sum_{\nu = 1}^{3 \hspace{0.02cm}\cdot		:$${\it \Sigma}_l = \sum_{\nu = 1}^{3 \hspace{0.02cm}\cdot\hspace{0.05cm} l}\hspace{0.02cm} a_\nu \hspace{0.05cm}.$$
	\hspace{0.05cm} l}\hspace{0.02cm} a_\nu \hspace{0.05cm}.$$

	The selection of the table for encoding the  $(l + 1)$–th block is done depending on the current   ${\it \Sigma}_l$  value.		The selection of the table for encoding the  $(l + 1)$–th block is done depending on the current   ${\it \Sigma}_l$  value.
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	This interactive calculation tool was designed and implemented at the  [https://www.ei.tum.de/en/lnt/home/ Institute for Communications Engineering]  at the  [https://www.tum.de/en Technical University of Munich].		This interactive calculation tool was designed and implemented at the  [https://www.ei.tum.de/en/lnt/home/ Institute for Communications Engineering]  at the  [https://www.tum.de/en Technical University of Munich].
	*The first version was created in 2010 by [[~~Biografien_und_Bibliografien~~/~~An_LNTwww_beteiligte_Studierende~~#Stefan_M.C3.BCller_.28Diplomarbeit_LB_2010.29\|Stefan Müller]]  as part of his bachelor thesis with “FlashMX – Actionscript” (Supervisor: [[Biographies_and_Bibliographies/~~An_LNTwww_beteiligte_Mitarbeiter_und_Dozenten~~#Prof._Dr.-Ing._habil.~~_G.C3.BCnter_S.C3.B6der_.28am_LNT_seit_1974.29~~\|Günter Söder]]).		*The first version was created in 2010 by [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Stefan_M.C3.BCller_.28Diplomarbeit_LB_2010.29\|Stefan Müller]]  as part of his bachelor thesis with “FlashMX – Actionscript” (Supervisor: [[Biographies_and_Bibliographies/LNTwww_members_from_LNT#Prof._Dr.-Ing._habil._Günter_Söder_(at_LNT_from_1974-2024)\|Günter Söder]]).

	*Last revision and English version 2020/2021 by  [[~~Biografien_und_Bibliografien~~/~~An_LNTwww_beteiligte_Studierende~~#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29\|Carolin Mirschina]]  in the context of a working student activity.		*Last revision and English version 2020/2021 by  [[Biographies_and_Bibliographies/Students_involved_in_LNTwww#Carolin_Mirschina_.28Ingenieurspraxis_Math_2019.2C_danach_Werkstudentin.29\|Carolin Mirschina]]  in the context of a working student activity.