Aufgaben:Exercise 3.7Z: Spread Spectrum in UMTS - Revision history

Hwang at 23:42, 12 November 2022

2022-11-12T23:42:13Z

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

2021-03-23T12:37:32Z

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

Guenter at 17:39, 24 February 2021

2021-02-24T17:39:07Z

Guenter at 17:34, 24 February 2021

2021-02-24T17:34:24Z

Guenter at 14:08, 25 January 2021

2021-01-25T14:08:48Z

Guenter at 14:01, 25 January 2021

2021-01-25T14:01:05Z

Javier: Text replacement - "Mobile Kommunikation/Die Charakteristika von UMTS" to "Mobile_Communications/Characteristics_of_UMTS"

2020-12-15T14:04:18Z

Text replacement - "Mobile Kommunikation/Die Charakteristika von UMTS" to "Mobile_Communications/Characteristics_of_UMTS"

Javier: Text replacement - "transmit signal" to "transmitted signal"

2020-08-25T09:37:40Z

Text replacement - "transmit signal" to "transmitted signal"

Javier: Text replacement - "[[Beispiele_von_Nachrichtensystemen" to "[[Examples_of_Communication_Systems"

2020-07-09T12:59:52Z

Text replacement - "[[Beispiele_von_Nachrichtensystemen" to "[[Examples_of_Communication_Systems"

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

2020-07-09T09:13:50Z

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

@@ Line 21: / Line 21: @@
 *This task refers to the chapter&nbsp; [[Mobile_Communications/Characteristics_of_UMTS|Characteristics of UMTS]].
 *Reference is made to the chapter&nbsp; [[Examples_of_Communication_Systems/Telecommunications_Aspects_of_UMTS|Telecommunications Aspects of UMTS]]&nbsp; in the book "Examples of Communication_Systems".
-*For the calculation of the chip duration &nbsp; $T_{\rm C}$,&nbsp; please refer to page&nbsp; [[Examples_of_Communication_Systems/UMTS_Network_Architecture#Physical_channels|Physical Channels]]&nbsp;.
+*For the calculation of the chip duration &nbsp; $T_{\rm C}$,&nbsp; please refer to section&nbsp; [[Examples_of_Communication_Systems/UMTS_Network_Architecture#Physical_channels|Physical Channels]]&nbsp;.
 *There you will find, among other things, the information important for this task, which is transmitted on the so-called&nbsp; "Dedicated Physical Channel"&nbsp; $\rm (DPCH)$&nbsp; in ten milliseconds exactly&nbsp; $15 \cdot 2560 \ \rm Chips$.
 *In subtask&nbsp; '''(5)''', the system asks for "transmitting chips".&nbsp; <br>For example, the "transmitting chip"&nbsp; $s_{3}$&nbsp; denotes the constant signal value of&nbsp; $s(t)$&nbsp; in the time interval&nbsp; $2T_{\rm C}$ ... $3T_{\rm C}$.
@@ Line 44: / Line 44: @@
 $T_{\rm C} \hspace{0.18cm} = \ $ {  0.26 3% } $ \ \rm &micro; s $
-{Which spreading factor can be read from the graph on the data page?
+{Which spreading factor can be read from the graph in the data section?
 |type="{}"}
 $J \ = \ $ { 4 }
@@ Line 70: / Line 70: @@
-'''(2)'''&nbsp; According to the note on the information page, in&nbsp; $10 \ \rm ms$&nbsp; exactly&nbsp; $15 \cdot 2560 = 38400 \ \rm chips$&nbsp; are transferred.
+'''(2)'''&nbsp; According to the note in the information section, in&nbsp; $10 \ \rm ms$&nbsp; exactly&nbsp; $15 \cdot 2560 = 38400 \ \rm chips$&nbsp; are transferred.
 *With this the chip rate:&nbsp; $R_{\rm C} = 100 \cdot 38400 \ {\rm Chips/s} \ \underline{= 3.84 \ \rm Mchip/s}$.
 *The chip duration is the reciprocal of this: &nbsp; $T_{\rm C} \ \underline{\approx 0.26 \ \rm &micro; s}$.

← Older revision		Revision as of 12:37, 23 March 2021
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−	[[Category:~~Exercises for~~ Mobile Communications\|^3.4 Characteristics of UMTS^]]	+	[[Category:Mobile Communications: Exercises\|^3.4 Characteristics of UMTS^]]

@@ Line 89: / Line 89: @@
 :$$s_3 = c_3 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_4 = c_4 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}.$$
 *On the other hand, the two other transmission chips sought are to be assigned to the second data bit $(q_{2} = -1)$:
-:$$s_5 = -c_5= -c_1 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_6 = -c_6= -c_2 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}$$.
+:$$s_5 = -c_5= -c_1 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_6 = -c_6= -c_2 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}.$$
 {{ML-Fuß}}

@@ Line 4: / Line 4: @@
 [[File:P_ID2260__Bei_Z_4_5.png|right|frame|Source signal and spread signal]]
-For UMTS/CDMA, the so-called "PN modulation" is applied:
+For UMTS/CDMA, the so-called&nbsp; "PN modulation"&nbsp; is applied:
 *The rectangular digital signal&nbsp; $q(t)$&nbsp; is multiplied by the spread signal&nbsp; $c(t)$&nbsp; and gives the transmission signal&nbsp; $s(t)$.
-*This is by the spreading factor&nbsp; $J$&nbsp; of higher frequency than&nbsp; $q(t)$; this is called&nbsp; "band spreading".
+*This is by the spreading factor&nbsp; $J$&nbsp; of higher frequency than&nbsp; $q(t)$;&nbsp; this is called&nbsp; "band spreading".
@@ Line 21: / Line 21: @@
 *This task refers to the chapter&nbsp; [[Mobile_Communications/Characteristics_of_UMTS|Characteristics of UMTS]].
 *Reference is made to the chapter&nbsp; [[Examples_of_Communication_Systems/Telecommunications_Aspects_of_UMTS|Telecommunications Aspects of UMTS]]&nbsp; in the book "Examples of Communication_Systems".
-*For the calculation of the chip duration &nbsp; $T_{\rm C}$&nbsp;, please refer to page&nbsp; [[Examples_of_Communication_Systems/UMTS_Network_Architecture#Physical_channels|Physical channels]]&nbsp;.
+*For the calculation of the chip duration &nbsp; $T_{\rm C}$,&nbsp; please refer to page&nbsp; [[Examples_of_Communication_Systems/UMTS_Network_Architecture#Physical_channels|Physical Channels]]&nbsp;.
 *There you will find, among other things, the information important for this task, which is transmitted on the so-called&nbsp; "Dedicated Physical Channel"&nbsp; $\rm (DPCH)$&nbsp; in ten milliseconds exactly&nbsp; $15 \cdot 2560 \ \rm Chips$.
-*In subtask&nbsp; '''(5)''', the system asks for "sending chips".&nbsp; For example, the "sending chip"&nbsp; $s_{3}$&nbsp; denotes the constant signal value of&nbsp; $s(t)$&nbsp; in the time interval&nbsp; $2T_{\rm C}$ ... $3T_{\rm C}$.
+*In subtask&nbsp; '''(5)''', the system asks for "transmitting chips".&nbsp; <br>For example, the "transmitting chip"&nbsp; $s_{3}$&nbsp; denotes the constant signal value of&nbsp; $s(t)$&nbsp; in the time interval&nbsp; $2T_{\rm C}$ ... $3T_{\rm C}$.
@@ Line 52: / Line 52: @@
 $R_{\rm B} \ = \ $ { 960 3% } $\ \rm kbit/s $
-{What are the&nbsp; "chips"&nbsp; of the signal&nbsp; $s(t)$?
+{What are the&nbsp; "transmitting chips"&nbsp; &rArr; &nbsp; of the signal&nbsp; $s(t)$?
 |type="{}"}
 $s_{3} \ = \ $ { -1.03--0.97 }

@@ Line 65: / Line 65: @@
 '''(1)'''&nbsp; Correct is the <u>solution 2</u>:
-*For UMTS, the chip duration $T_{\rm C}$, which is still to be calculated in the subtask '''(2)''', is predefined.
+*For UMTS, the chip duration&nbsp; $T_{\rm C}$, which is still to be calculated in the subtask&nbsp; '''(2)''', is predefined.
-*The greater the degree of spreading $J$, the greater the bit duration.
+*The greater the degree of spreading&nbsp; $J$, the greater the bit duration.
-'''(2)'''&nbsp; According to the note on the information page, in $10 \ \rm ms$ exactly $15 \cdot 2560 = 38400 \ \rm Chips$ are transferred.
+'''(2)'''&nbsp; According to the note on the information page, in&nbsp; $10 \ \rm ms$&nbsp; exactly&nbsp; $15 \cdot 2560 = 38400 \ \rm chips$&nbsp; are transferred.
-*With this the chip rate is &nbsp; $R_{\rm C} = 100 \cdot 38400 \ {\rm Chips/s} \ \underline{= 3.84 \ \rm Mchip/s}$.
+*With this the chip rate:&nbsp; $R_{\rm C} = 100 \cdot 38400 \ {\rm Chips/s} \ \underline{= 3.84 \ \rm Mchip/s}$.
 *The chip duration is the reciprocal of this: &nbsp; $T_{\rm C} \ \underline{\approx 0.26 \ \rm &micro; s}$.
@@ Line 80: / Line 80: @@
-'''(4)'''&nbsp; The bit rate is calculated with the spreading factor $J = 4$ zu $R_{\rm B} = R_{\rm C}/J \ \underline{= 960 \ \rm  kbit/s}$.
+'''(4)'''&nbsp; The bit rate is calculated with the spreading factor&nbsp; $J = 4$&nbsp; to&nbsp; $R_{\rm B} = R_{\rm C}/J \ \underline{= 960 \ \rm  kbit/s}$.
-* With the maximum spreading factor $J = 512$ for UMTS, the bit rate is only 5s $7.5 \ \rm kbit/s$.
+* With the maximum spreading factor&nbsp; $J = 512$&nbsp; for UMTS, the bit rate is only&nbsp; $7.5 \ \rm kbit/s$.
-'''(5)'''&nbsp; The following applies to the transmitted signal $s(t) = q(t) \cdot c(t)$.
+'''(5)'''&nbsp; The following applies to the transmission signal $s(t) = q(t) \cdot c(t)$.
-*The chips $s_{3}$ and $s_{4}$ of the transmitted signal belong to the first data bit  ($q_{1} = +1)$:
+*The chips&nbsp; $s_{3}$&nbsp; and&nbsp; $s_{4}$&nbsp; of the transmission signal belong to the first data bit&nbsp;  $(q_{1} = +1)$:
 :$$s_3 = c_3 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_4 = c_4 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}.$$
 *On the other hand, the two other transmission chips sought are to be assigned to the second data bit $(q_{2} = -1)$:
-:$$s_5 = -c_5= -c_1 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_6 = -c_6= -c_2 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}$$
+:$$s_5 = -c_5= -c_1 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_6 = -c_6= -c_2 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}$$.
 {{ML-Fuß}}

← Older revision		Revision as of 14:04, 15 December 2020
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−	{{quiz-Header\|Buchseite=~~Mobile Kommunikation~~/~~Die Charakteristika von UMTS~~	+	{{quiz-Header\|Buchseite=Mobile_Communications/Characteristics_of_UMTS
	}}		}}

@@ Line 5: / Line 5: @@
 [[File:P_ID2260__Bei_Z_4_5.png|right|frame|Source signal and spread signal]]
 For UMTS/CDMA, the so-called PN modulation is applied:
-*The rectangular digital signal&nbsp; $q(t)$&nbsp; is multiplied by the spread signal&nbsp; $c(t)$&nbsp; and gives the transmit signal&nbsp; $s(t)$.
+*The rectangular digital signal&nbsp; $q(t)$&nbsp; is multiplied by the spread signal&nbsp; $c(t)$&nbsp; and gives the transmitted signal&nbsp; $s(t)$.
 *This is by the spreading factor&nbsp; $J$&nbsp; higher frequent (=more frequent) than&nbsp; $q(t)$; this is called&nbsp; ''band spreading''.
@@ Line 51: / Line 51: @@
 $R_{\rm B} \ = \ $ { 960 3% } $\ \rm kbit/s $
-{What values do the &bdquo;chips&rdquo; of the transmit signal have?
+{What values do the &bdquo;chips&rdquo; of the transmitted signal have?
 |type="{}"}
 $s_{3} \ = \ $ { -1.03--0.97 }
@@ Line 85: / Line 85: @@
 '''(5)'''&nbsp; The following applies to the transmitted signal $s(t) = q(t) \cdot c(t)$.
-*The chips $s_{3}$ and $s_{4}$ of the transmit signal belong to the first data bit  ($q_{1} = +1)$:
+*The chips $s_{3}$ and $s_{4}$ of the transmitted signal belong to the first data bit  ($q_{1} = +1)$:
 :$$s_3 = c_3 \hspace{0.15cm}\underline {= -1},\hspace{0.4cm}s_4 = c_4 \hspace{0.15cm}\underline {= +1}\hspace{0.05cm}.$$
 *On the other hand, the two other transmission chips sought are to be assigned to the second data bit $(q_{2} = -1)$:

@@ Line 19: / Line 19: @@
 *This exercise belongs to the chapter &nbsp;   [[Mobile_Communications/Die_Charakteristika_von_UMTS|Die Charakteristika von UMTS]].
-*Reference is made to the chapter&nbsp; [[Beispiele_von_Nachrichtensystemen/Nachrichtentechnische_Aspekte_von_UMTS|Nachrichtentechnische Aspekte von UMTS]]&nbsp; in the book„Beispiele von Nachrichtensystemen”.
+*Reference is made to the chapter&nbsp; [[Examples_of_Communication_Systems/Nachrichtentechnische_Aspekte_von_UMTS|Nachrichtentechnische Aspekte von UMTS]]&nbsp; in the book„Beispiele von Nachrichtensystemen”.
-*For the calculation of the chip duration &nbsp; $T_{\rm C}$&nbsp;, please refer to page&nbsp; [[Beispiele_von_Nachrichtensystemen/UMTS–Netzarchitektur#Physikalische_Kan.C3.A4le|Physikalische Kanäle]]&nbsp;.
+*For the calculation of the chip duration &nbsp; $T_{\rm C}$&nbsp;, please refer to page&nbsp; [[Examples_of_Communication_Systems/UMTS–Netzarchitektur#Physikalische_Kan.C3.A4le|Physikalische Kanäle]]&nbsp;.
 *There you will find, among other things, the information important for this task, which is transmitted on the so-called&nbsp; ''Dedicated Physical Channel''&nbsp; (DPCH) in ten milliseconds exactly&nbsp; $15 \cdot 2560 \ \rm Chips$&nbsp;.
 *In subtask '''(5)''', the system asks for transmit chips. For example, the "sending chip"&nbsp; $s_{3}$&nbsp; denotes the constant signal value of&nbsp; $s(t)$&nbsp; in the time interval&nbsp; $2T_{\rm C}$ ... $3T_{\rm C}$.