Digital Signal Transmission/Parameters of Digital Channel Models - Revision history

Guenter at 12:01, 19 October 2022

2022-10-19T12:01:34Z

Guenter at 16:05, 17 October 2022

2022-10-17T16:05:01Z

Guenter at 13:11, 1 October 2022

2022-10-01T13:11:59Z

Hwang at 02:56, 11 September 2022

2022-09-11T02:56:55Z

Hwang at 02:45, 11 September 2022

2022-09-11T02:45:13Z

Hwang at 02:33, 11 September 2022

2022-09-11T02:33:53Z

Guenter at 15:22, 6 September 2022

2022-09-06T15:22:13Z

Guenter at 15:51, 3 September 2022

2022-09-03T15:51:04Z

Guenter at 12:58, 3 September 2022

2022-09-03T12:58:26Z

Guenter at 12:35, 3 September 2022

2022-09-03T12:35:34Z

@@ Line 136: / Line 136: @@
 <br>
 Digital channel models are preferably used for cascaded transmission,&nbsp; as shown in the graph.&nbsp; You can see from this diagram:
-[[File:EN_Dig_T_5_1_S3_neu2.png|right|frame|Model of a transmission system with encoder/decoder '''KORREKTUR: Komparator'''|class=fit]]
+[[File:EN_Dig_T_5_1_S3_neu2.png|right|frame|Model of a transmission system with encoder/decoder |class=fit]]
 *The inner transmission system &ndash; consisting of modulator, analog channel, noise, demodulator, receiver filter, decision, clock recovery &ndash; is summarized in the block&nbsp; "Digital channel"&nbsp; marked in blue.<br>

@@ Line 136: / Line 136: @@
 <br>
 Digital channel models are preferably used for cascaded transmission,&nbsp; as shown in the graph.&nbsp; You can see from this diagram:
-[[File:EN_Dig_T_5_1_S3_neu.png|right|frame|Model of a transmission system with encoder/decoder '''KORREKTUR: Komparator'''|class=fit]]
+[[File:EN_Dig_T_5_1_S3_neu2.png|right|frame|Model of a transmission system with encoder/decoder '''KORREKTUR: Komparator'''|class=fit]]
 *The inner transmission system &ndash; consisting of modulator, analog channel, noise, demodulator, receiver filter, decision, clock recovery &ndash; is summarized in the block&nbsp; "Digital channel"&nbsp; marked in blue.<br>

← Older revision		Revision as of 13:11, 1 October 2022
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−	Such channel models are mainly used for  »cascaded transmission systems«  for the inner block,  if the performance of the outer system components  $($e.g. ~~coder '''KORREKTUR:~~ encoder~~'''~~ and decoder$)$  is to be determined by simulation.	+	Such channel models are mainly used for  »cascaded transmission systems«  for the inner block,  if the performance of the outer system components  $($e.g. encoder and decoder$)$  is to be determined by simulation.

	The following are dealt with in detail:		The following are dealt with in detail:

@@ Line 274: / Line 274: @@
 {{GraueBox|TEXT=
-$\text{Example 5:}$&nbsp; The graph shows in the left sketch an arbitrary discrete error distance density function&nbsp; $f_a(a)$&nbsp; and the resultingintegrated functions.
+$\text{Example 5:}$&nbsp; The graph shows in the left sketch an arbitrary discrete error distance density function&nbsp; $f_a(a)$&nbsp; and the resulting integrated functions.
 [[File:P ID1826 Dig T 5 1 S5b version1.png|right|frame|Discrete probability density function&nbsp; $f_a(a)$&nbsp;and the functions&nbsp; $F_a(k )$&nbsp; and&nbsp; $V_a(k )$ |class=fit]]

@@ Line 136: / Line 136: @@
 <br>
 Digital channel models are preferably used for cascaded transmission,&nbsp; as shown in the graph.&nbsp; You can see from this diagram:
-[[File:EN_Dig_T_5_1_S3_neu.png|right|frame|Model of a transmission system with encoder/decoder|class=fit]]
+[[File:EN_Dig_T_5_1_S3_neu.png|right|frame|Model of a transmission system with encoder/decoder '''KORREKTUR: Komparator'''|class=fit]]
 *The inner transmission system &ndash; consisting of modulator, analog channel, noise, demodulator, receiver filter, decision, clock recovery &ndash; is summarized in the block&nbsp; "Digital channel"&nbsp; marked in blue.<br>

← Older revision		Revision as of 02:33, 11 September 2022
Line 15:		Line 15:


−	Such channel models are mainly used for  »cascaded transmission systems«  for the inner block,  if the performance of the outer system components  $($e.g. coder and decoder$)$  is to be determined by simulation.	+	Such channel models are mainly used for  »cascaded transmission systems«  for the inner block,  if the performance of the outer system components  $($e.g. coder '''KORREKTUR: encoder''' and decoder$)$  is to be determined by simulation.

	The following are dealt with in detail:		The following are dealt with in detail:

@@ Line 123: / Line 123: @@
 {{GraueBox|TEXT=
 $\text{Example 2:}$&nbsp; In the graph,&nbsp; we see  in the center the BMP image&nbsp; "White"&nbsp; with $300&nbsp;&times;&nbsp;200$ pixels.
-[[File:EN_Dig_T_5_1_S2b.png|right|frame|BMP image&nbsp; "White"&nbsp; with independent errors&nbsp; $($left$)$&nbsp;  and burst errors&nbsp; $($right) |class=fit]]
+[[File:EN_Dig_T_5_1_S2b_neu.png|right|frame|BMP image&nbsp; "White"&nbsp; with independent errors&nbsp; $($left$)$&nbsp;  and burst errors&nbsp; $($right) |class=fit]]
 *The left image shows the falsification with statistically independent errors &nbsp; &rArr; &nbsp; [[Digital_Signal_Transmission/Binary_Symmetric_Channel_(BSC)|"BSC model"]].
@@ Line 136: / Line 136: @@
 <br>
 Digital channel models are preferably used for cascaded transmission,&nbsp; as shown in the graph.&nbsp; You can see from this diagram:
-[[File:EN_Dig_T_5_1_S3.png|right|frame|Model of a transmission system with encoder/decoder|class=fit]]
+[[File:EN_Dig_T_5_1_S3_neu.png|right|frame|Model of a transmission system with encoder/decoder|class=fit]]
 *The inner transmission system &ndash; consisting of modulator, analog channel, noise, demodulator, receiver filter, decision, clock recovery &ndash; is summarized in the block&nbsp; "Digital channel"&nbsp; marked in blue.<br>

@@ Line 21: / Line 21: @@
 #&nbsp; The descriptive quantities&nbsp; &raquo;error correlation function&laquo;&nbsp; and&nbsp; &raquo;error distance distribution&laquo;,
 #&nbsp; the&nbsp; &raquo;BSC model&laquo; &nbsp; ("Binary Symmetric Channel") &nbsp; for the description of statistically independent errors,
-#&nbsp; the&nbsp; &raquo;bundle error channel models&laquo;&nbsp; according to Gilbert-Elliott and McCullough,
+#&nbsp; the&nbsp; &raquo;burst error channel models&laquo;&nbsp; according to Gilbert-Elliott and McCullough,
 #&nbsp; the&nbsp; &raquo;Wilhelm channel model&laquo;&nbsp; for the formulaic approximation of measured error curves,
 #&nbsp; some notes on the&nbsp; &raquo;generation of error sequences&laquo;,&nbsp;  for example with respect to&nbsp; &raquo;error distance simulation&laquo;,
@@ Line 117: / Line 117: @@
 $\text{Conclusion:}$&nbsp; The &nbsp;'''error sequence'''&nbsp; $ \langle e_\nu \rangle$&nbsp; allows statements about the error statistics,&nbsp; for example whether the errors are so-called
 #&nbsp;"statistically independent errors",&nbsp; or<br>
-#&nbsp;"bundle errors".<br><br>
+#&nbsp;"burst errors".<br><br>
 The following example is intended to illustrate these two error types.}}<br>
@@ Line 123: / Line 123: @@
 {{GraueBox|TEXT=
 $\text{Example 2:}$&nbsp; In the graph,&nbsp; we see  in the center the BMP image&nbsp; "White"&nbsp; with $300&nbsp;&times;&nbsp;200$ pixels.
-[[File:EN_Dig_T_5_1_S2b.png|right|frame|BMP image&nbsp; "White"&nbsp; with independent errors&nbsp; $($left$)$&nbsp;  and bundle errors&nbsp; $($right) |class=fit]]
+[[File:EN_Dig_T_5_1_S2b.png|right|frame|BMP image&nbsp; "White"&nbsp; with independent errors&nbsp; $($left$)$&nbsp;  and burst errors&nbsp; $($right) |class=fit]]
 *The left image shows the falsification with statistically independent errors &nbsp; &rArr; &nbsp; [[Digital_Signal_Transmission/Binary_Symmetric_Channel_(BSC)|"BSC model"]].
-* The right image illustrates a bundle error channel &nbsp; &rArr; &nbsp; [[Digital_Signal_Transmission/Burst_Error_Channels#Channel_model_according_to_Gilbert-Elliott|"Gilbert-Elliott model"]].&nbsp; <br>
+* The right image illustrates a burst error channel &nbsp; &rArr; &nbsp; [[Digital_Signal_Transmission/Burst_Error_Channels#Channel_model_according_to_Gilbert-Elliott|"Gilbert-Elliott model"]].&nbsp; <br>
 <u>Notes:</u>
-#&nbsp;A&nbsp; [[Digital_Signal_Transmission/Applications_for_Multimedia_Files#Images_in_BMP_format|"BMP graphics"]]&nbsp; is always saved line by line,&nbsp; which can be seen in the error bundles in the right image.
+#&nbsp;A&nbsp; [[Digital_Signal_Transmission/Applications_for_Multimedia_Files#Images_in_BMP_format|"BMP graphics"]]&nbsp; is always saved line by line,&nbsp; which can be seen in the error bursts in the right image.
 #&nbsp;Mean error probability in both cases:&nbsp; $2.5\%$;&nbsp; on average every $40$th pixel is falsified&nbsp; $($here: &nbsp; white &nbsp;&#8658;&nbsp; black$)$.}}<br>

@@ Line 250: / Line 250: @@
   e_{\nu + k -1} = 0 \hspace{0.15cm}\cap \hspace{0.15cm}e_{\nu + k} = 1 \hspace{0.1cm}| \hspace{0.1cm} e_{\nu } = 1)\hspace{0.05cm}.</math>
-*In the book&nbsp; "Stochastic Signal Theory"&nbsp; you will also find the definition of the&nbsp; [[Theory_of_Stochastic_Signals/Cumulative_Distribution_Function#CDF_for_discrete-valued_random_variables|"cumulative distribution function"]]&nbsp; of the discrete random variable&nbsp; $a$:
+*In the book&nbsp; "Stochastic Signal Theory"&nbsp; you will also find the definition of the&nbsp; [[Theory_of_Stochastic_Signals/Cumulative_Distribution_Function#CDF_for_discrete-valued_random_variables|"cumulative distribution function"]]&nbsp; $\rm (CDF)$&nbsp;  of the discrete random variable&nbsp; $a$:
 ::<math>F_a(k) =  {\rm Pr}(a \le k) \hspace{0.05cm}.</math>