Aufgaben:Exercise 3.3Z: GSM 900 and GSM 1800 - Revision history

Guenter at 13:27, 11 January 2023

2023-01-11T13:27:40Z

Guenter at 12:31, 11 January 2023

2023-01-11T12:31:01Z

Guenter at 16:38, 3 January 2023

2023-01-03T16:38:25Z

Guenter at 14:07, 2 January 2023

2023-01-02T14:07:48Z

Guenter at 16:35, 31 December 2022

2022-12-31T16:35:37Z

Guenter: Guenter moved page Aufgaben:Aufgabe 3.3Z: GSM 900 und GSM 1800 to Aufgaben:Exercise 3.3Z: GSM 900 and GSM 1800

2022-12-31T16:26:43Z

Guenter moved page Aufgabe 3.3Z: GSM 900 und GSM 1800 to Exercise 3.3Z: GSM 900 and GSM 1800

Noah at 20:21, 30 December 2022

2022-12-30T20:21:39Z

Noah at 20:21, 30 December 2022

2022-12-30T20:21:25Z

Noah at 20:20, 30 December 2022

2022-12-30T20:20:28Z

Noah at 20:17, 30 December 2022

2022-12-30T20:17:48Z

@@ Line 29: / Line 29: @@
 *This exercise belongs to the chapter&nbsp; [[Examples_of_Communication_Systems/Radio_Interface|"Radio Interface"]].
-*Reference is made in particular to the sectione&nbsp; [[Examples_of_Communication_Systems/Radio_Interface#Realization_of_FDMA_and_TDMA|"Realization of FDMA and TDMA"]].
+*Reference is made in particular to the section&nbsp; [[Examples_of_Communication_Systems/Radio_Interface#Realization_of_FDMA_and_TDMA|"Realization of FDMA and TDMA"]].
@@ Line 58: / Line 58: @@
 ===Solution===
 {{ML-Kopf}}
-'''(1)'''&nbsp; From the total bandwidth of $25 \ {\rm MHz}\ (800 \text{...} 915 \ \rm MHz)$, the two guard bands of $100 \ \rm kHz$ each at the edges, and the channel spacing $200 \ \rm kHz$, we get for the $\rm GSM \ 900$:
+'''(1)'''&nbsp; From the total bandwidth of&nbsp; $25 \ {\rm MHz}\ (800 \text{...} 915 \ \rm MHz)$,&nbsp;
 :$$K_{\rm F} = \frac{ 914.9 \,{\rm MHz}- 890.1 \,{\rm MHz}}{0.2 \,{\rm MHz}} \hspace{0.15cm} \underline {= 124}\hspace{0.05cm}.$$
-'''(2)'''&nbsp; At $\rm GSM \ 1800$, a bandwidth of $75 \ \rm MHz$ is now available in each direction.
+'''(2)'''&nbsp; At&nbsp; $\rm GSM \ 1800$,&nbsp; a bandwidth of $75 \ \rm MHz$&nbsp; is now available in each direction.
-*Taking into account the two guard bands and the same channel spacing $200 \ \rm kHz$, we obtain here:
+*Taking into account the two guard bands and the same channel spacing&nbsp; $200 \ \rm kHz$,&nbsp; we obtain here:
 :$$K_{\rm F} = \frac{ 75 \,{\rm MHz}- 0.2 \,{\rm MHz}}{0.2 \,{\rm MHz}} \hspace{0.15cm} \underline {= 374}\hspace{0.05cm}.$$
-'''(3)'''&nbsp; For $\rm GSM \ 1800$, the uplink starts at $1710 \ \rm MHz$ and the downlink starts at.
+'''(3)'''&nbsp; For&nbsp; $\rm GSM \ 1800$,&nbsp; the uplink starts at&nbsp; $1710 \ \rm MHz$&nbsp; and the downlink starts at
 :$$1710 \,{\rm MHz}\,\,({\rm uplink})+ 95 \,{\rm MHz}\,\,({\rm duplex\:spacing}) ={1805 \,{\rm MHz}} \hspace{0.05cm}.$$
-*The first downlink channel $(k_{\rm F} = 1)$ is higher by the center frequency $f_{\rm M} = 1805.2 \ \rm MHz$,
+*The first downlink channel&nbsp; $(k_{\rm F} = 1)$&nbsp; is higher by the center frequency&nbsp; $f_{\rm M} = 1805.2 \ \rm MHz$,
-*the channel numbered $k_{\rm F} = 200$ is higher by the frequency spacing $199 \cdot 0.2 \rm MHz$:
 :$$f_{\rm M} (k_{\rm F} = 200) \hspace{0.15cm} \underline { = {1845 \,{\rm MHz}}} \hspace{0.05cm}.$$
-'''(4)'''&nbsp; Using the result of subtask '''(2)''' and $K_{\rm T} = 8$, we obtain:
+'''(4)'''&nbsp; Using the result of subtask&nbsp; '''(2)'''&nbsp; and&nbsp; $K_{\rm T} = 8$,&nbsp; we obtain:
 :$$K ({\rm GSM \hspace{0.15cm}1800}) = 374 \cdot 8 \hspace{0.15cm} \underline { = 2992}\hspace{0.05cm}.$$

@@ Line 4: / Line 4: @@
 [[File:EN_Bei_Z_3_3.png|right|frame|$\rm GSM \ 900$&nbsp; and&nbsp; $\rm GSM \ 1800$ ]]
-The mobile communications standard established in Europe since $1992$&nbsp; $\rm GSM$&nbsp; (''Global System for Mobile Communications'')&nbsp; uses frequency and time division multiplexing to enable multiple users to communicate in one cell.
+The mobile communications standard&nbsp; $\rm GSM$&nbsp; ("Global System for Mobile Communications")&nbsp; established in Europe since 1992 uses frequency and time division multiplexing to enable multiple users to communicate in one cell.
-The following are important characteristics of the system shown in the diagram&nbsp; $\rm GSM \ 900$&nbsp; in somewhat simplified form.
+The following are important characteristics of the system&nbsp; $\rm GSM \ 900$&nbsp; shown in the diagram in somewhat simplified form.
-*The frequency band of the uplink (the connection from the mobile to the base station) is between&nbsp; $890\ \rm MHz$&nbsp; and&nbsp; $915 \ \rm MHz$.
+*The frequency band of the uplink&nbsp; $($the connection from the mobile station to the base station$)$ is between&nbsp; $890\ \rm MHz$&nbsp; and&nbsp; $915 \ \rm MHz$.
-The GSM $1800$ system is structured in a similar way, but with the following differences:
+*This band is used by a total of&nbsp; $K_{\rm F}$&nbsp; subchannels&nbsp; $($"Radio Frequency Channels"$)$,&nbsp; which are adjacent to each other with respective frequency spacing&nbsp; $200 \ \rm kHz$.&nbsp; The numbering is done with the variable&nbsp; $k_{\rm F}$.
-Hints:
+<u>Hints:</u>
 *This exercise belongs to the chapter&nbsp; [[Examples_of_Communication_Systems/Radio_Interface|"Radio Interface"]].
-*Reference is made in particular to the page&nbsp; [[Examples_of_Communication_Systems/Radio_Interface#Realization_of_FDMA_and_TDMA|"Realization of FDMA and TDMA"]].
@@ Line 37: / Line 38: @@
 <quiz display=simple>
-{How many subchannels are created in the $\rm GSM \ 900$&nbsp; by frequency division multiplexing?
+{How many subchannels are created in the&nbsp; $\rm GSM \ 900$&nbsp; system by frequency division multiplexing?
 |type="{}"}
 $K_{\rm F} \ = \ $ { 124 3% }
-{How many frequency channels are there in the&nbsp; $\rm GSM \ 1800$?
+{How many frequency channels are there in the&nbsp; $\rm GSM \ 1800$&nbsp; system?
 |type="{}"}
 $K_{\rm F} \ = \ $ { 374 3% }
-{What center frequency is used by the frequency channel numbered&nbsp; $k_{\rm F} = 200$&nbsp; in the downlink of&nbsp; $\rm GSM \ 1800$?
+{What center frequency&nbsp; $f_{\rm M}$&nbsp; is used by the frequency channel numbered&nbsp; $k_{\rm F} = 200$&nbsp; in the downlink of&nbsp; $\rm GSM \ 1800$?
 |type="{}"}
 $f_{\rm M}  \ = \ $ { 1845 3% } $ \ \rm MHz$
-{How many subscribers&nbsp; $K$&nbsp; can be active at the&nbsp; $\rm GSM \ 1800$&nbsp; same time?
+{How many subscribers&nbsp; $(K)$&nbsp; can be active at the&nbsp; $\rm GSM \ 1800$&nbsp; at the same time?
 |type="{}"}
 $K \ = \ $ { 2992 3% }

@@ Line 3: / Line 3: @@
 }}
-[[File:P_ID1225__Bei_Z_3_3.png|right|frame|$\rm GSM \ 900$&nbsp; and&nbsp; $\rm GSM \ 1800$ '''Korrektur''']]
+[[File:EN_Bei_Z_3_3.png|right|frame|$\rm GSM \ 900$&nbsp; and&nbsp; $\rm GSM \ 1800$ ]]
 The mobile communications standard established in Europe since $1992$&nbsp; $\rm GSM$&nbsp; (''Global System for Mobile Communications'')&nbsp; uses frequency and time division multiplexing to enable multiple users to communicate in one cell.

@@ Line 3: / Line 3: @@
 }}
-[[File:P_ID1225__Bei_Z_3_3.png|right|frame|$\rm GSM \ 900$&nbsp; and&nbsp; $\rm GSM \ 1800$]]
+[[File:P_ID1225__Bei_Z_3_3.png|right|frame|$\rm GSM \ 900$&nbsp; and&nbsp; $\rm GSM \ 1800$ '''Korrektur''']]
 The mobile communications standard established in Europe since $1992$&nbsp; $\rm GSM$&nbsp; (''Global System for Mobile Communications'')&nbsp; uses frequency and time division multiplexing to enable multiple users to communicate in one cell.

← Older revision		Revision as of 16:35, 31 December 2022
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−	[[Category:Examples of Communication Systems: Exercises\|^3.2 ~~Funkschnittstelle~~^]]	+	[[Category:Examples of Communication Systems: Exercises\|^3.2 Radio Interface^]]