Aufgaben:Exercise 4.4Z: Physical Channels in LTE - Revision history

Javier: Text replacement - "Category:Exercises for Mobile Communications" to "Category:Mobile Communications: Exercises"

2021-03-23T12:37:00Z

Text replacement - "Category:Exercises for Mobile Communications" to "Category:Mobile Communications: Exercises"

Guenter at 10:34, 9 March 2021

2021-03-09T10:34:13Z

Guenter at 10:30, 9 March 2021

2021-03-09T10:30:35Z

Guenter at 16:08, 6 February 2021

2021-02-06T16:08:55Z

Guenter at 15:52, 6 February 2021

2021-02-06T15:52:55Z

Javier: Text replacement - "===Sample solution===" to "===Solution==="

2020-12-16T13:16:03Z

Text replacement - "===Sample solution===" to "===Solution==="

Javier: Text replacement - "Mobile Kommunikation/Bitübertragungsschicht bei LTE" to "Mobile_Communications/Physical_Layer_for_LTE"

2020-12-15T14:07:12Z

Text replacement - "Mobile Kommunikation/Bitübertragungsschicht bei LTE" to "Mobile_Communications/Physical_Layer_for_LTE"

Oezdemir: /* Sample solution */

2020-07-22T18:00:40Z

Sample solution

Oezdemir at 18:23, 19 July 2020

2020-07-19T18:23:18Z

Javier: Text replacement - "Mobile_Kommunikation/" to "Mobile_Communications/"

2020-07-09T09:13:50Z

Text replacement - "Mobile_Kommunikation/" to "Mobile_Communications/"

← Older revision		Revision as of 12:37, 23 March 2021
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−	[[Category:~~Exercises for~~ Mobile Communications\|^4.4 Physical Layer in LTE^]]	+	[[Category:Mobile Communications: Exercises\|^4.4 Physical Layer in LTE^]]

@@ Line 85: / Line 85: @@
 *A block in the LTE downlink occupies&nbsp; $180  \ \rm kHz$&nbsp; $($twelve subcarriers at&nbsp; $15  \ \rm kHz$ each$)$&nbsp; and has a duration of&nbsp; $1  \ \rm ms$.
 *The assignment with PDCCH and PDSCH shows that the downlink is being considered.
-*The reference symbols are needed to estimate the channel quality and calculate the "Channel Quality Indicator" (CQI).
+*The reference symbols are needed to estimate the channel quality and calculate the&nbsp; "Channel Quality Indicator"&nbsp; (CQI).
 *These reference symbols are distributed over different frequencies or symbols&nbsp; (different times)&nbsp; in order to estimate the channel quality as comprehensively as possible.

@@ Line 13: / Line 13: @@
 The diagram shows the assignment of the two channels&nbsp; $\rm PDCCH$&nbsp; and&nbsp; $\rm PDSCH$&nbsp; in frequency and time:
-*One frequency block comprises&nbsp; $180 \ \rm kHz$&nbsp; and is divided into twelve&nbsp; $15 \ \rm kHz$&ndash;subcarriers
+*One frequency block comprises&nbsp; $180 \ \rm kHz$&nbsp; and is divided into twelve&nbsp; $15 \ \rm kHz$ subcarriers
 *A subframe is one millisecond long and includes&nbsp; $14$&nbsp; symbols.
 *Red marked are the so-called reference symbols.

@@ Line 69: / Line 69: @@
 '''(1)'''&nbsp; Correct are the <u>solutions 3 and 4</u>:
-The assignment to ''Downlink'' or ''Uplink'' can be recognized by the second letter. It means:
+The assignment to&nbsp; $\rm D$ownlink&nbsp; or&nbsp; $\rm U\hspace{-0.05cm}$plink&nbsp; can be recognized by the second letter.&nbsp; It means:
-*PDCCH: ''Physical Downlink Control Channel,''
+*PDCCH:&nbsp;  Physical Downlink Control Channel,
-*PDSCH: ''Physical Downlink Shared Channel,''
+*PDSCH:&nbsp;  Physical Downlink Shared Channel,
-*PUCCH: ''Physical Uplink Control Channel,''
+*PUCCH:&nbsp;  Physical Uplink Control Channel,
-*PUSCH: ''Physical Uplink Shared Channel.''
+*PUSCH:&nbsp;  Physical Uplink Shared Channel.
 '''(2)'''&nbsp; Correct are the <u>solutions 2 and 4</u>:
-*A "C" &nbsp; &rArr; &nbsp; ''Control'' as third letter indicates a control channel.
+*$\rm C$&nbsp; &rArr; &nbsp; "Control" as third letter indicates a control channel.
-*User data are always transferred to the ''Shared Channels'' &nbsp; &rArr; &nbsp; "S",
+*User data are always transferred to the "Shared Channels" &nbsp; &rArr; &nbsp; $\rm S$.
 '''(3)'''&nbsp; <u>All statements</u> are correct:
-*A block in the LTE downlink occupies $180 \ \ \rm kHz$ (twelve subcarriers at $15 \ \ \rm kHz$ each) and has a duration of $1 \ \ \rm ms$.
+*A block in the LTE downlink occupies&nbsp; $180  \ \rm kHz$&nbsp; $($twelve subcarriers at&nbsp; $15  \ \rm kHz$ each$)$&nbsp; and has a duration of&nbsp; $1  \ \rm ms$.
 *The assignment with PDCCH and PDSCH shows that the downlink is being considered.
-*The reference symbols are needed to estimate the channel quality and calculate the ''Channel Quality Indicator'' (CQI).
+*The reference symbols are needed to estimate the channel quality and calculate the "Channel Quality Indicator" (CQI).
-*These reference symbols are distributed over different frequencies or symbols (different times) in order to estimate the channel quality as comprehensively as possible.
+*These reference symbols are distributed over different frequencies or symbols&nbsp; (different times)&nbsp; in order to estimate the channel quality as comprehensively as possible.
-'''(4)'''&nbsp; The <u>statement 1</u> is true because only two of the $14$ columns are occupied by the control channel PDCCH.
+'''(4)'''&nbsp; The <u>statement 1</u> is true because only two of the&nbsp; $14$&nbsp; columns are occupied by the control channel PDCCH. <br>However, this result cannot be generalized.&nbsp; Rather, the division between PDCCH  and PDSCH symbols is dependent on the user's requirements and therefore dynamic.
 *For many users with a low data rate, the PDCCH would include three or four symbols, because this requires more intensive tuning than for a few concurrent users with high data rates.
-*The information "How many PDCCH symbols" is communicated to the terminal device via the ''Physical Control Format Indicator Channel'' (PCFICH).
+*The information&nbsp; "How many PDCCH symbols"&nbsp; is communicated to the terminal device via the "Physical Control Format Indicator Channel" (PCFICH).
-'''(5)'''&nbsp; <u>All statements</u>above are correct:
+'''(5)'''&nbsp; <u>All statements above</u> are correct:
-*The data rate of each user depends directly on the number of blocks of width $180 \ \rm kHz$ assigned to him.
+*The data rate of each user depends directly on the number of blocks of width&nbsp; $180 \ \rm kHz$&nbsp; assigned to him.
-*The total LTI frequency width is between $1.4 \ \rm MHz$ and $20 \ \rm MHz$.
+*The total LTI frequency width is between&nbsp; $1.4 \ \rm MHz$&nbsp; and&nbsp; $20 \ \rm MHz$.
-*In the frequency band of $1.4 \ \ \rm MHz$ six blocks of $180 \ \ \rm kHz$ are placed.
+*In the frequency band of&nbsp; $1.4 \  \rm MHz$&nbsp; six blocks of&nbsp; $180 \  \rm kHz$&nbsp; are placed.
 *The overhead is thus $(1.4 - 6 \cdot 0.18)/1.4 \approx 22.8 \%$.
-*At $20 \ \rm MHz$ total frequency width, i.e. $100$ blocks, the overhead is $(20 - 100 \cdot 0.18)/26 = 10 \ \ \%$.
+*At&nbsp; $20 \ \rm MHz$&nbsp; total frequency width, i.e.&nbsp; $100$&nbsp; blocks, the overhead is&nbsp; $(20 - 100 \cdot 0.18)/26 = 10  \%$.
 *The more blocks are available in total, the more can be allocated to each individual user if his channel is good and if many other users do not also have high demands at the same time.

@@ Line 4: / Line 4: @@
-[[File:EN_LTE_Z_4_4_version1.png|right|frame|Frequency/time assignment of the channels&nbsp; '''PDCCH'''&nbsp; and&nbsp; '''PDSCH''']]
+[[File:EN_LTE_Z_4_4_version1.png|right|frame|Frequency/time assignment of the channels&nbsp; $\rm PDCCH$&nbsp; and&nbsp; $\rm PDSCH$]]
 The task refers to the two pages&nbsp;
-*&nbsp;[[Mobile_Communications/Bitübertragungsschicht_bei_LTE#Physikalische_Kan.C3.A4le_im_Uplink|Physikalsiche Kanäle im Uplink]],
+*&nbsp;[[Mobile_Communications/Physical_Layer_for_LTE#Physical_channels_in_uplink|Physical channels in uplink]],
-*&nbsp;[[Mobile_Communications/Bitübertragungsschicht_bei_LTE#Physikalische_Kan.C3.A4le_im_Downlink|Physikalsiche Kanäle im Downlink]].
+*&nbsp;[[Mobile_Communications/Physical_Layer_for_LTE#Physical_channels_in_downlink|Physical channels in downlink]].
 All information required for the task can be found on these pages.
-The diagram shows the assignment of the two channels&nbsp; '''PDCCH'''&nbsp; and&nbsp; '''PDSCH''' in frequency and time:
+The diagram shows the assignment of the two channels&nbsp; $\rm PDCCH$&nbsp; and&nbsp; $\rm PDSCH$&nbsp; in frequency and time:
 *One frequency block comprises&nbsp; $180 \ \rm kHz$&nbsp; and is divided into twelve&nbsp; $15 \ \rm kHz$&ndash;subcarriers
 *A subframe is one millisecond long and includes&nbsp; $14$&nbsp; symbols.
-*Red marked are so called reference symbols.
+*Red marked are the so-called reference symbols.
@@ Line 24: / Line 24: @@
 ''Notes:''
-*The task belongs to the chapter [[Mobile_Communications/Bitübertragungsschicht_bei_LTE|Bitübertragungsschicht bei LTE]].
+*This task belongs to the chapter&nbsp; [[Mobile_Communications/Physical_Layer_for_LTE|Physical Layer for LTE]].
@@ Line 54: / Line 53: @@
 {Which statements are correct without considering the reference symbols?
 |type="[]"}
-+ In the example 6/7 of the symbols contain useful information.
++ The statement&nbsp; "6/7 of the symbols carry useful information"&nbsp; applies in this example.
-- The statement "6/7 of the symbols carry useful information" applies generally.
+- The statement&nbsp; "6/7 of the symbols carry useful information"&nbsp; applies generally.
 {What does the individual data rate of a user depend on?
 |type="[]"}
-From the number of resource blocks assigned,
++ From the number of resource blocks assigned,
-+ of the total available bandwidth,
++ from the total available bandwidth,
-+ of the channel quality for this user,
++ from the channel quality for this user,
 + from the requirements of all users.
 </quiz>

@@ Line 65: / Line 65: @@
 </quiz>
-===Sample solution===
+===Solution===
 {{ML-Kopf}}

← Older revision		Revision as of 14:07, 15 December 2020
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−	{{quiz-Header\|Buchseite=~~Mobile Kommunikation~~/~~Bitübertragungsschicht bei LTE~~	+	{{quiz-Header\|Buchseite=Mobile_Communications/Physical_Layer_for_LTE
	}}		}}

@@ Line 79: / Line 79: @@
 '''(2)'''&nbsp; Correct are the <u>solutions 2 and 4</u>:
-*Ein „C”  &nbsp; &rArr; &nbsp;   ''Control'' als dritter Buchstabe weist auf einen Kontrollkanal hin.
+*A "C" &nbsp; &rArr; &nbsp; ''Control'' as third letter indicates a control channel.
-* Nutzdaten werden stets in den ''Shared Channels''  &nbsp; &rArr; &nbsp; „S” übertragen,
+*User data are always transferred to the ''Shared Channels'' &nbsp; &rArr; &nbsp; "S",
-'''(4)'''&nbsp; Die <u>Aussage 1</u> stimmt, da hier nur zwei der $14$ Spalten vom Kontrollkanal PDCCH belegt werden.
+However, this result cannot be generalized. Rather, the division between PDCCH&ndash; and PDSCH symbols is dependent on the user's requirements and therefore dynamic.
 '''(5)'''&nbsp; <u>All statements</u>above are correct:
-*Die Datenrate eines jeden Nutzers hängt direkt von der Anzahl der ihm zugewiesenen Blöcke der Breite $180 \ \rm kHz$ ab.
+*The data rate of each user depends directly on the number of blocks of width $180 \ \rm kHz$ assigned to him.
-*Die LTI–Gesamtfrequenzbreite liegt zwischen $1.4 \ \rm MHz$ und $20 \ \rm MHz$.
+*The total LTI frequency width is between $1.4 \ \rm MHz$ and $20 \ \rm MHz$.
-*In das Frequenzband von $1.4 \ \rm MHz$ werden sechs Blöcke à $180 \ \rm kHz$ untergebracht.
+*In the frequency band of $1.4 \ \ \rm MHz$ six blocks of $180 \ \ \rm kHz$ are placed.
-*Der Overhead beträgt somit $(1.4 - 6 \cdot 0.18)/1.4 \approx 22.8 \%$.
+*The overhead is thus $(1.4 - 6 \cdot 0.18)/1.4 \approx 22.8 \%$.
-*Bei $20 \ \rm MHz$ Gesamtfrequenzbreite, also $100$ Blöcken, ist der Overhead $(20 - 100 \cdot 0.18)/26 = 10 \ \%$.
+*At $20 \ \rm MHz$ total frequency width, i.e. $100$ blocks, the overhead is $(20 - 100 \cdot 0.18)/26 = 10 \ \ \%$.
-*Je mehr Blöcke insgesamt zur Verfügung stehen, desto mehr kann jedem einzelnen Nutzer zugewiesen werden, wenn sein Kanal gut ist und wenn nicht gleichzeitig viele andere Nutzer ebenfalls große Ansprüche stellen.
+*The more blocks are available in total, the more can be allocated to each individual user if his channel is good and if many other users do not also have high demands at the same time.
 {{ML-Fuß}}

@@ Line 4: / Line 4: @@
-[[File:EN_LTE_Z_4_4_version1.png|right|frame|Frequenz/Zeitbelegung der Kanäle&nbsp; '''PDCCH'''&nbsp; und&nbsp; '''PDSCH''']]
+[[File:EN_LTE_Z_4_4_version1.png|right|frame|Frequency/time assignment of the channels&nbsp; '''PDCCH'''&nbsp; and&nbsp; '''PDSCH''']]
-Die Aufgabe bezieht sich auf die beiden Theorieseiten&nbsp;
+The task refers to the two pages&nbsp;
 *&nbsp;[[Mobile_Communications/Bitübertragungsschicht_bei_LTE#Physikalische_Kan.C3.A4le_im_Uplink|Physikalsiche Kanäle im Uplink]],
 *&nbsp;[[Mobile_Communications/Bitübertragungsschicht_bei_LTE#Physikalische_Kan.C3.A4le_im_Downlink|Physikalsiche Kanäle im Downlink]].
-Alle für die Aufgabe erforderlichen Informationen finden Sie auf diesen Seiten.
+All information required for the task can be found on these pages.
-Die Grafik zeigt die Belegung der beiden Kanäle&nbsp; '''PDCCH'''&nbsp; und&nbsp; '''PDSCH''' in Frequenz und Zeit:
+The diagram shows the assignment of the two channels&nbsp; '''PDCCH'''&nbsp; and&nbsp; '''PDSCH''' in frequency and time:
-*Ein Frequenzblock umfasst&nbsp; $180 \ \rm kHz$&nbsp; und ist in zwölf&nbsp; $15 \ \rm kHz$&ndash;Unterträger unterteilt.
+*One frequency block comprises&nbsp; $180 \ \rm kHz$&nbsp; and is divided into twelve&nbsp; $15 \ \rm kHz$&ndash;subcarriers
-*Ein Subframe ist eine Millisekunde lang und umfasst&nbsp; $14$&nbsp; Symbole.
+*A subframe is one millisecond long and includes&nbsp; $14$&nbsp; symbols.
-*Rot eingezeichnet sind so genannte Referenzsymbole.
+*Red marked are so called reference symbols.
@@ Line 23: / Line 23: @@
-''Hinweise:''
+''Notes:''
-*Die Aufgabe gehört zum Kapitel [[Mobile_Communications/Bitübertragungsschicht_bei_LTE|Bitübertragungsschicht bei LTE]].
+*The task belongs to the chapter [[Mobile_Communications/Bitübertragungsschicht_bei_LTE|Bitübertragungsschicht bei LTE]].
-===Fragebogen===
+===Questionnaire===
 <quiz display=simple>
-{Welche physikalische Kanäle gehören zum LTE–Uplink?
+{Which physical channels belong to the LTE uplink?
 |type="[]"}
 - PDCCH,
@@ Line 39: / Line 39: @@
 + PUSCH.
-{Welche der Kanäle übertragen Nutzdaten?
+{Which of the channels transmit user data?
 |type="[]"}
 - PDCCH,
@@ Line 46: / Line 46: @@
 + PUSCH.
-{Welche Aussagen gelten für die Grafik auf der Angabenseite?
+{Which statements apply to the graphic on the information page?
 |type="[]"}
-+ Dargestellt ist ein Übertragungsblock für den Downlink.
++ A transmission block for the downlink is shown.
-+ Ein Block ist die kleinste adressierbare Einheit bei LTE.
++ A block is the smallest addressable unit for LTE.
-+ Die Referenzsymbole dienen zur Schätzung der Kanalqualität.
++ The reference symbols are used to estimate the channel quality.
-{Welche Aussagen stimmen ohne Berücksichtigung der Referenzsymbole?
+{Which statements are correct without considering the reference symbols?
 |type="[]"}
-+ Im Beispiel beinhalten 6/7 der Symbole Nutzinformation.
++ In the example 6/7 of the symbols contain useful information.
-- Die Aussage „6/7 der Symbole tragen Nutzinformation” gilt ganz allgemein.
+- The statement "6/7 of the symbols carry useful information" applies generally.
-{Wovon hängt die individuelle Datenrate eines Nutzers ab?
+{What does the individual data rate of a user depend on?
 |type="[]"}
-+ Von der Anzahl der zugewiesenen Ressourcenblöcke,
+From the number of resource blocks assigned,
-+ von der insgesamt zur Verfügung stehenden Bandbreite,
++ of the total available bandwidth,
-+ von der Kanalqualität für diesen Nutzer,
++ of the channel quality for this user,
-+ von den Anforderungen aller Nutzer.
++ from the requirements of all users.
 </quiz>
-===Musterlösung===
+===Sample solution===
 {{ML-Kopf}}
-'''(1)'''&nbsp; Richtig sind die <u>Lösungsvorschläge 3 und 4</u>:
+'''(1)'''&nbsp; Correct are the <u>solutions 3 and 4</u>:
-Die Zuordnung zu ''Downlink'' bzw. ''Uplink'' erkennt man am zweiten Buchstaben. Es bedeuten:
+The assignment to ''Downlink'' or ''Uplink'' can be recognized by the second letter. It means:
 *PDCCH: ''Physical Downlink Control Channel,''
 *PDSCH: ''Physical Downlink Shared Channel,''
@@ Line 78: / Line 78: @@
-'''(2)'''&nbsp; Richtig sind die <u>Lösungsvorschläge 2 und 4</u>:
+'''(2)'''&nbsp; Correct are the <u>solutions 2 and 4</u>:
 *Ein „C”  &nbsp; &rArr; &nbsp;   ''Control'' als dritter Buchstabe weist auf einen Kontrollkanal hin.
 * Nutzdaten werden stets in den ''Shared Channels''  &nbsp; &rArr; &nbsp; „S” übertragen,
@@ Line 100: / Line 100: @@
-'''(5)'''&nbsp; <u>Alle Aussagen</u> treffen zu:
+'''(5)'''&nbsp; <u>All statements</u>above are correct:
 *Die Datenrate eines jeden Nutzers hängt direkt von der Anzahl der ihm zugewiesenen Blöcke der Breite $180 \ \rm kHz$ ab.
 *Die LTI–Gesamtfrequenzbreite liegt zwischen $1.4 \ \rm MHz$ und $20 \ \rm MHz$.