Digital Signal Transmission/Symbolwise Coding with Pseudo-Ternary Codes - Revision history

Noah at 22:47, 22 March 2023

2023-03-22T22:47:12Z

Hwang at 00:00, 13 November 2022

2022-11-13T00:00:09Z

Guenter at 15:21, 24 August 2022

2022-08-24T15:21:47Z

Guenter at 11:29, 13 July 2022

2022-07-13T11:29:50Z

Guenter at 16:13, 8 July 2022

2022-07-08T16:13:10Z

Guenter at 14:56, 8 July 2022

2022-07-08T14:56:28Z

Guenter at 15:32, 3 June 2022

2022-06-03T15:32:01Z

Hwang at 08:58, 24 May 2022

2022-05-24T08:58:23Z

Hwang at 08:56, 24 May 2022

2022-05-24T08:56:24Z

Hwang at 08:50, 24 May 2022

2022-05-24T08:50:59Z

@@ Line 175: / Line 175: @@
 *The system comparison is made under&nbsp; "peak constraint".&nbsp; Therefore,&nbsp; we use the rectangular basic transmission pulse.<br>
-*The overall frequency response shows a cosine rolloff with best possible rolloff factor &nbsp;$r = 0.8$.&nbsp;
+*The overall frequency response shows a raised cosine with best possible rolloff factor &nbsp;$r = 0.8$.&nbsp;
 *The noise power &nbsp;$\sigma_d^2$&nbsp; is thus &nbsp;$12\%$&nbsp; larger than with the matched filter&nbsp; (global optimum).

@@ Line 186: / Line 186: @@
 *With the 4B3T code,&nbsp; you can see clearly more lines in the eye diagram than in the two left pictures.&nbsp; The redundancy-free ternary code would give almost the same result.<br>
-*On the page quoted above,&nbsp; the symbol error probability of the 4B3T code for the parameter &nbsp;$10 \cdot \lg \hspace{0.05cm}(s_0^2 \cdot T/N_0) = 13 \ \rm dB$&nbsp; was calculated as follows:
+*In the section quoted above,&nbsp; the symbol error probability of the 4B3T code for the parameter &nbsp;$10 \cdot \lg \hspace{0.05cm}(s_0^2 \cdot T/N_0) = 13 \ \rm dB$&nbsp; was calculated as follows:
 :$${ \sigma_d}/{s_0} = 0.145 \hspace{0.3cm}\Rightarrow \hspace{0.3cm}
   p_{\rm S} = {4}/{3} \cdot {\rm Q} \left( \frac{s_0/2}{ \sigma_d} \right) \approx

← Older revision		Revision as of 15:21, 24 August 2022
Line 20:		Line 20:
	*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.		*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.

−	[[File:~~Dig_T_2_4_S1_v1_neu~~.png\|right\|frame\|Block diagram  (above)  and equivalent circuit  (below)  of a pseudo-ternary encoder ~~'''Korrektur'''~~\|class=fit]]	+	[[File:EN_Dig_T_2_4_S1_v23.png\|right\|frame\|Block diagram  (above)  and equivalent circuit  (below)  of a pseudo-ternary encoder\|class=fit]]

← Older revision		Revision as of 11:29, 13 July 2022
Line 20:		Line 20:
	*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.		*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.

−	[[File:Dig_T_2_4_S1_v1_neu.png\|right\|frame\|Block diagram  (above)  and equivalent circuit  (below)  of a pseudo-ternary encoder\|class=fit]]	+	[[File:Dig_T_2_4_S1_v1_neu.png\|right\|frame\|Block diagram  (above)  and equivalent circuit  (below)  of a pseudo-ternary encoder '''Korrektur'''\|class=fit]]

← Older revision		Revision as of 16:13, 8 July 2022
Line 20:		Line 20:
	*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.		*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.

−	[[File:Dig_T_2_4_S1_v1_neu.png\|right\|frame\|Block diagram and equivalent circuit of a pseudo-ternary encoder\|class=fit]]	+	[[File:Dig_T_2_4_S1_v1_neu.png\|right\|frame\|Block diagram  (above)  and equivalent circuit  (below)  of a pseudo-ternary encoder\|class=fit]]

← Older revision		Revision as of 14:56, 8 July 2022
Line 20:		Line 20:
	*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.		*In the right graph an equivalent circuit is given,  which is very suitable for an analysis of these codes.

−	[[File:~~EN_Dig_T_2_4_S1~~.png\|right\|frame\|Block diagram and equivalent circuit of a pseudo-ternary encoder ~~'''Korrektur''' untereinander D+E~~\|class=fit]]	+	[[File:Dig_T_2_4_S1_v1_neu.png\|right\|frame\|Block diagram and equivalent circuit of a pseudo-ternary encoder\|class=fit]]

@@ Line 12: / Line 12: @@
 Typical for symbolwise coding is that
-*the symbol duration &nbsp;$T$&nbsp; of the encoder '''KORREKTUR: encoded''' signal&nbsp; (and of the transmitted signal)&nbsp; matches the bit duration &nbsp;$T_{\rm B}$&nbsp; of the binary source signal,&nbsp; and
+*the symbol duration &nbsp;$T$&nbsp; of the encoded signal&nbsp; (and of the transmitted signal)&nbsp; matches the bit duration &nbsp;$T_{\rm B}$&nbsp; of the binary source signal,&nbsp; and
 *encoding and decoding do not lead to major time delays,&nbsp; which are unavoidable when block codes are used.<br><br>
@@ Line 63: / Line 63: @@
 :* the likewise binary signal &nbsp;$b(t)$&nbsp; after the pre-encoder,&nbsp; and
-:* the encoder '''KORREKTUR: encoded''' signal &nbsp;$c(t) = s(t)$&nbsp; of the AMI code.
+:* the encoded signal &nbsp;$c(t) = s(t)$&nbsp; of the AMI code.
@@ Line 70: / Line 70: @@
 #The binary value&nbsp; "+1"&nbsp; of the source signal&nbsp; $q(t)$ &nbsp; &rArr; &nbsp;  symbol &nbsp;$\rm H$&nbsp; is alternately represented by &nbsp;$a_\nu = +1$&nbsp; and &nbsp;$a_\nu = -1$.&nbsp; <br><br>
-This ensures that the AMI encoder '''KORREKTUR: encoded''' signal does not contain any &nbsp; "long sequences"<br>
+This ensures that the AMI encoded signal does not contain any &nbsp; "long sequences"<br>
 * &nbsp; $ \langle c_\nu \rangle =  \langle \text{...}, +1, +1, +1, +1, +1, \text{...}\rangle$ &nbsp; resp.
 * &nbsp; $ \langle c_\nu \rangle =  \langle \text{...}, -1, -1, -1, -1, -1, \text{...}\rangle$,

@@ Line 20: / Line 20: @@
 *In the right graph an equivalent circuit is given,&nbsp; which is very suitable for an analysis of these codes.
-[[File:EN_Dig_T_2_4_S1.png|right|frame|Block diagram and equivalent circuit of a pseudo ternary encoder '''Korrektur''' untereinander D+E|class=fit]]
+[[File:EN_Dig_T_2_4_S1.png|right|frame|Block diagram and equivalent circuit of a pseudo-ternary encoder '''Korrektur''' untereinander D+E|class=fit]]
@@ Line 50: / Line 50: @@
 == Properties of the AMI code==
 <br>
-The individual pseudo ternary codes differ in the &nbsp;$N_{\rm C}$&nbsp; and &nbsp;$K_{\rm C}$ parameters.&nbsp; The best-known representative is the&nbsp; '''first-order bipolar code'''&nbsp; with the code parameters
+The individual pseudo-ternary codes differ in the &nbsp;$N_{\rm C}$&nbsp; and &nbsp;$K_{\rm C}$ parameters.&nbsp; The best-known representative is the&nbsp; '''first-order bipolar code'''&nbsp; with the code parameters
 :*&nbsp;$N_{\rm C} = 1$,&nbsp;
 :*&nbsp;$K_{\rm C} = 1$,
@@ Line 163: / Line 163: @@
 <br clear= all>
-== Error probability of the pseudo ternary codes ==
+== Error probability of the pseudo-ternary codes ==
 <br>
 The graph shows the &nbsp;[[Digital_Signal_Transmission/Error_Probability_with_Intersymbol_Interference#Definition_and_statements_of_the_eye_diagram|"eye diagrams"]]&nbsp; ('''without''' noise) when using