Difference between revisions of "Aufgaben:Exercise 5.1: FDMA, TDMA and CDMA"

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{{quiz-Header|Buchseite=Modulationsverfahren/Aufgaben und Klassifizierung
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{{quiz-Header|Buchseite=Modulation_Methods/Tasks_and_Classification
 
}}
 
}}
  
[[File:P_ID1862__Mod_A_5_1.png|right|]]
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[[File:EN_Mod_A_5_1.png|right|frame|FDMA, TDMA and CDMA]]
Die Grafik verdeutlicht das Prinzip von
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The diagram illustrates the principle of
:* ''Frequency Division Multiple Access'' (FDMA),
+
# Frequency Division Multiple Access  $\rm (FDMA)$,
:* ''Time Division Multiple Access'' (TDMA), und
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# Time Division Multiple Access  $\rm (TDMA)$,
:* ''Code Division Multiple Access'' (CDMA).
+
# Code Division Multiple Access  $\rm (CDMA)$.
Bei den hier aufgeführten Vielfachzugriffsverfahren geht man davon aus, dass es mehrere Sender–Empfänger–Paare gibt, die sich ein Übertragungsmedium selbständig aufteilen. Dagegen spricht man von Multiplexing, wenn am Anfang eines Übertragungsweges ein Multiplexer (MUX) mehrere Signale bündelt und am Ende ein Demultiplexer (DEMUX) das gemeinsame Signal wieder auftrennt. Abkürzend verwendet man in diesem Fall FDM, TDM und CDM – also ''Frequency (Time, Code) Division Multiplexing.''
 
  
In der vorliegenden Aufgabe ist gefragt, welche dieser Verfahren (FDMA/FDM, TDMA/TDM, CDMA/CDM) einige der heute wichtigsten Kommunikationssysteme (GSM, UMTS, DSL) nutzen.
 
  
'''Hinweis:''' Die Aufgabe bezieht sich auf [http://en.lntwww.de/Modulationsverfahren/Aufgaben_und_Klassifizierung Kapitel 5.1] dieses Buches. Hinweise zu den hier betrachteten Kommunikationssystemen finden Sie unter den folgenden Links:
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In the  "multiple access methods"  listed here,  it is assumed that there are several transmitter-receiver pairs that independently divide up a transmission medium.   
  
GSM (Global System for Mobile Communications),
+
"Multiplexing",   on the other hand,  is when a multiplexer  $\rm (MUX)$  bundles several signals at the beginning of a transmission path and a demultiplexer  $\rm (DEMUX)$  splits the common signal again at the end. 
  
 +
The following abbreviations are used for this purpose:
 +
# Frequency Division Multiplexing  $\rm (FDM)$,
 +
# Time Division Multiplexing  $\rm (TDM)$,
 +
# Code Division Multiplexing  $\rm (CDM)$.
  
UMTS (Universal Mobile Communications Systems),
 
  
 +
This exercise asks which of these methods (FDMA/FDM, TDMA/TDM, CDMA/CDM) are used by some of the communication systems (DSL,GSM, UMTS) that are still important today.
  
DSL (Digital Subscriber Line).
 
  
  
===Fragebogen===
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 +
 
 +
Notes:
 +
*The exercise belongs to the chapter  [[Modulation_Methods/Aufgaben_und_Klassifizierung|Tasks and Classification]].
 +
 +
*Information on the communications systems under consideration can be found under the following links:
 +
:[[Examples_of_Communication_Systems/Allgemeine_Beschreibung_von_DSL|(1) Digital Subscriber Line]]  $\rm (DSL)$,
 +
:[[Examples_of_Communication_Systems/Allgemeine_Beschreibung_von_GSM|(2) Global System for Mobile Communications]]  $\rm (GSM)$,
 +
:[[Examples_of_Communication_Systems/Allgemeine_Beschreibung_von_UMTS|(3) Universal Mobile Communications Systems]]  $\rm (UMTS)$.
 +
 
 +
 
 +
 
 +
===Questions===
  
 
<quiz display=simple>
 
<quiz display=simple>
{Was bezeichnen FDMA, TDMA und CDMA?
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{What do FDMA, TDMA and CDMA refer to?
 
|type="[]"}
 
|type="[]"}
- Modualtionsverfahren
+
- Modulation methods,
+ Vielfachzugriffsverfahren,
+
+ Multiple access methods,
- Entzerrungsverfahren.
+
- Equalization methods.
  
  
{Welche dieser Verfahren sind nur bei Digitalsystemen anwendbar?
+
{Which of these methods can only be used with digital systems?
 
|type="[]"}
 
|type="[]"}
 
- FDMA/FDM,
 
- FDMA/FDM,
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+ CDMA/CDM.
 
+ CDMA/CDM.
  
{Welche Technik(en) nutzt der europäische 2G–Mobilfunkstandard GSM?
+
{Which method(s) does the European 2G mobile communications standard GSM use?
 
|type="[]"}
 
|type="[]"}
 
+ FDMA/FDM,
 
+ FDMA/FDM,
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-  CDMA/CDM.
 
-  CDMA/CDM.
  
{Welche Technik(en) nutzt der 3G–Mobilfunkstandard UMTS?
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{Which method(s) does the 3G mobile communications standard UMTS use?
 
|type="[]"}
 
|type="[]"}
 
+ FDMA/FDM,
 
+ FDMA/FDM,
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+  CDMA/CDM.
 
+  CDMA/CDM.
  
{Welche Technik(en) nutzt das „schnelle Internet” (DSL)?
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{Which method(s) does the "fast Internet" (DSL) use?
 
|type="[]"}
 
|type="[]"}
 
+ FDMA/FDM,
 
+ FDMA/FDM,
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</quiz>
 
</quiz>
  
===Musterlösung===
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===Solution===
 
{{ML-Kopf}}
 
{{ML-Kopf}}
'''1.'''   FDMA, TDMA und CDMA sind Vielfachzugriffsverfahren oder auch Multiplextechniken, die man dann allerdings mit FDM, TDM und CDM abkürzt: ''Frequency (Time, Code) Division Multiplexing
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'''(1)'''&nbsp; <u>Solution 2</u>&nbsp; is correct:
''
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*FDMA, TDMA and CDMA are multiple access methods or multiplexing techniques,&nbsp; which are then abbreviated to FDM, TDM and CDM: &nbsp; <br>"Frequency (Time, Code) Division Multiplexing".
'''2.''' Nur die beiden letztgenannten. FDMA ist auch bei Analogsystemen anwendbar, wofür die klassische Rundfunkübertragung (seit den 1930er Jahren) ein Beispiel ist.
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*These terms have nothing to do with modulation and equalization.
 +
 
 +
 
 +
 
 +
'''(2)'''&nbsp; <u>Solutions 2 and 3</u>&nbsp; are correct:
 +
*FDMA is also used in analog systems,&nbsp; of which classical broadcasting&nbsp; (since the 1930s)&nbsp; is an example.
 +
 
 +
 
  
 +
'''(3)'''&nbsp; <u>Solutions 1 and 2</u>&nbsp; are correct:
 +
*GSM uses FDMA and TDMA.
 +
*In the so-called&nbsp; "D&ndash;band"&nbsp; (uplink: 890 – 915 MHz,&nbsp; downlink: 935 – 960 MHz),&nbsp; there are 124 FDMA channels of 200 kHz each at the upper and lower ends of the range in each direction,&nbsp; taking into account the guard bands of 100 kHz each.
 +
*In the&nbsp; "E&ndash;band"&nbsp; (uplink: 1710 – 1785 MHz, downlink: 1805 – 1880 MHz),&nbsp; 374 FDMA channels can be used.
 +
*With time division multiplexing&nbsp; (TDMA)&nbsp; an additional eight subscribers can be supplied in each frequency band.
 +
*A TDMA frame has a length of 4.62 ms,&nbsp; so that time slots of 0.577 ms duration are available for each subscriber in this time interval.
  
'''3.''' Bei GSM werden FDMA und TDMA genutzt. Im so genannten D–Band (Uplink: 890 – 915 MHz, Downlink: 935 – 960 MHz) gibt es unter Berücksichtigung der Guard–Bänder von je 100 kHz am oberen und unteren Bereichsende in jeder Richtung 124 FDMA–Kanäle zu je 200 kHz. Im E–Band (Uplink: 1710 – 1785 MHz, Downlink: 1805 – 1880 MHz) sind 374 FDMA–Kanäle nutzbar.
 
  
Mit Zeitmultiplex (TDMA) können in jedem Frequenzband zusätzlich 8 Teilnehmer versorgt werden. Ein TDMA–Rahmen hat die Länge 4.62 ms, so dass für jeden Teilnehmer in diesem zeitlichen Abstand Zeitschlitze von 0.577 ms Dauer zur Verfügung stehen.
 
  
 +
'''(4)'''&nbsp; <u>Solutions 1 and 3</u>&nbsp; are correct:
 +
*The&nbsp; UMTS variant&nbsp; "UMTS Terrestrial Radio Access–Frequency Division Duplex"&nbsp; (UTRA–FDD)&nbsp; used in Germany consists of twelve paired uplink and downlink frequency bands,&nbsp; each with a bandwidth of 5 MHz,&nbsp; between 1920 MHz and 1980 MHz&nbsp; (uplink)&nbsp; and between 2110 MHz and 2170 MHz&nbsp; (downlink).
 +
*Thus,&nbsp; there is always an FDMA component.&nbsp; CDMA is also used in each of the 5 MHz bands,&nbsp; so that up to 512 subscribers can be active simultaneously in each frequency band.
  
'''4.''' Die in Deutschland eingesetzte U''MTS–Variante UMTS Terrestrial Radio Access–Frequency Division Duplex'' ('''UTRA–FDD''') besteht aus je 12 gepaarten Uplink– und Downlink–Frequenzbändern zu je 5 MHz Bandbreite zwischen 1920 MHz und 1980 MHz (Uplink) bzw. zwischen 2110 MHz und 2170 MHz (Downlink). Es liegt somit stets auch eine FDMA–Komponente vor. In jedem der 5 MHz–Bänder wird zudem CDMA eingesetzt, so dass in jedem Frequenzband gleichzeitig bis zu 512 Teilnehmer aktiv sein können.
 
  
  
'''5.''' Für schnelle Internetanbindungen wird heutzutage üblicherweise DSL (''Digital Subscriber Line'') eingesetzt. Dieses basiert auf OFDM (''Orthogonal Frequency Division Multiplexing''), was eine FDM–Variante ist. Die einzelnen Spektren sind dabei allerdings nicht getrennt, sondern überlappen sich. Aufgrund der Orthogonalität kommt es trotzdem nicht zu gegenseitiger Beeinflussung.
+
'''(5)'''&nbsp; <u>Solution 1</u> is&nbsp; correct:
 +
*Nowadays,&nbsp; DSL&nbsp; ("Digital Subscriber Line")&nbsp; is usually used for fast Internet connections.  
 +
*This is based on OFDM&nbsp; ("Orthogonal Frequency Division Multiplexing"),&nbsp; which is an FDM variant.
 +
*However,&nbsp; the individual spectra are not separated,&nbsp; but rather overlap.  
 +
*Due to the orthogonality,&nbsp; however,&nbsp; there is no mutual interference.
  
 
{{ML-Fuß}}
 
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[[Category:Aufgaben zu Modulationsverfahren|^5.1 Aufgaben und Klassifizierung^]]
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[[Category:Modulation Methods: Exercises|^5.1 Multiple Access Methods^]]

Latest revision as of 17:37, 27 November 2021

FDMA, TDMA and CDMA

The diagram illustrates the principle of

  1. Frequency Division Multiple Access  $\rm (FDMA)$,
  2. Time Division Multiple Access  $\rm (TDMA)$,
  3. Code Division Multiple Access  $\rm (CDMA)$.


In the  "multiple access methods"  listed here,  it is assumed that there are several transmitter-receiver pairs that independently divide up a transmission medium.   

"Multiplexing",  on the other hand,  is when a multiplexer  $\rm (MUX)$  bundles several signals at the beginning of a transmission path and a demultiplexer  $\rm (DEMUX)$  splits the common signal again at the end. 

The following abbreviations are used for this purpose:

  1. Frequency Division Multiplexing  $\rm (FDM)$,
  2. Time Division Multiplexing  $\rm (TDM)$,
  3. Code Division Multiplexing  $\rm (CDM)$.


This exercise asks which of these methods (FDMA/FDM, TDMA/TDM, CDMA/CDM) are used by some of the communication systems (DSL,GSM, UMTS) that are still important today.



Notes:

  • Information on the communications systems under consideration can be found under the following links:
(1) Digital Subscriber Line  $\rm (DSL)$,
(2) Global System for Mobile Communications  $\rm (GSM)$,
(3) Universal Mobile Communications Systems  $\rm (UMTS)$.


Questions

1

What do FDMA, TDMA and CDMA refer to?

Modulation methods,
Multiple access methods,
Equalization methods.

2

Which of these methods can only be used with digital systems?

FDMA/FDM,
TDMA/TDM,
CDMA/CDM.

3

Which method(s) does the European 2G mobile communications standard GSM use?

FDMA/FDM,
TDMA/TDM,
CDMA/CDM.

4

Which method(s) does the 3G mobile communications standard UMTS use?

FDMA/FDM,
TDMA/TDM,
CDMA/CDM.

5

Which method(s) does the "fast Internet" (DSL) use?

FDMA/FDM,
TDMA/TDM,
CDMA/CDM.


Solution

(1)  Solution 2  is correct:

  • FDMA, TDMA and CDMA are multiple access methods or multiplexing techniques,  which are then abbreviated to FDM, TDM and CDM:  
    "Frequency (Time, Code) Division Multiplexing".
  • These terms have nothing to do with modulation and equalization.


(2)  Solutions 2 and 3  are correct:

  • FDMA is also used in analog systems,  of which classical broadcasting  (since the 1930s)  is an example.


(3)  Solutions 1 and 2  are correct:

  • GSM uses FDMA and TDMA.
  • In the so-called  "D–band"  (uplink: 890 – 915 MHz,  downlink: 935 – 960 MHz),  there are 124 FDMA channels of 200 kHz each at the upper and lower ends of the range in each direction,  taking into account the guard bands of 100 kHz each.
  • In the  "E–band"  (uplink: 1710 – 1785 MHz, downlink: 1805 – 1880 MHz),  374 FDMA channels can be used.
  • With time division multiplexing  (TDMA)  an additional eight subscribers can be supplied in each frequency band.
  • A TDMA frame has a length of 4.62 ms,  so that time slots of 0.577 ms duration are available for each subscriber in this time interval.


(4)  Solutions 1 and 3  are correct:

  • The  UMTS variant  "UMTS Terrestrial Radio Access–Frequency Division Duplex"  (UTRA–FDD)  used in Germany consists of twelve paired uplink and downlink frequency bands,  each with a bandwidth of 5 MHz,  between 1920 MHz and 1980 MHz  (uplink)  and between 2110 MHz and 2170 MHz  (downlink).
  • Thus,  there is always an FDMA component.  CDMA is also used in each of the 5 MHz bands,  so that up to 512 subscribers can be active simultaneously in each frequency band.


(5)  Solution 1 is  correct:

  • Nowadays,  DSL  ("Digital Subscriber Line")  is usually used for fast Internet connections.
  • This is based on OFDM  ("Orthogonal Frequency Division Multiplexing"),  which is an FDM variant.
  • However,  the individual spectra are not separated,  but rather overlap.
  • Due to the orthogonality,  however,  there is no mutual interference.