ARIB STD-T V Spreading and modulation (FDD) (Release 1999)

Transcription

1 ARIB STD-T V3.9.0 Spreadig ad modulatio (FDD) (Release 1999) Refer to "Idustrial Property Rights (IPR)" i the preface of ARIB STD-T63 for Related Idustrial Property Rights. Refer to "Notice" i the preface of ARIB STD-T63 for Copyrights.

2 TS 5.13 V3.9.0 (003-1) Techical Specificatio 3rd Geeratio Partership Project; Techical Specificatio Group Radio Access Network; Spreadig ad modulatio (FDD) (Release 1999) The preset documet has bee developed withi the 3 rd Geeratio Partership Project ( TM ) ad may be further elaborated for the purposes of. The preset documet has ot bee subject to ay approval process by the Orgaisatioal Parters ad shall ot be implemeted. This Specificatio is provided for future developmet work withi oly. The Orgaisatioal Parters accept o liability for ay use of this Specificatio. Specificatios ad reports for implemetatio of the TM system should be obtaied via the Orgaisatioal Parters' Publicatios Offices.

3 TS 5.13 V3.9.0 (003-1) Keywords UMTS, radio, modulatio, layer 1 Postal address support office address 650 Route des Lucioles - Sophia Atipolis Valboe - FRANCE Tel.: Fax: Iteret Copyright Notificatio No part may be reproduced except as authorized by writte permissio. The copyright ad the foregoig restrictio exted to reproductio i all media. 004, Orgaizatioal Parters (ARIB, CCSA, ETSI, T1, TTA, TTC). All rights reserved.

4 3 TS 5.13 V3.9.0 (003-1) Cotets Foreword Scope...7 Refereces Symbols ad abbreviatios Symbols Abbreviatios Uplik spreadig ad modulatio Overview Spreadig DPCCH/DPDCH PRACH PRACH preamble part PRACH message part PCPCH PCPCH preamble part PCPCH message part Code geeratio ad allocatio Chaelizatio codes Code defiitio Code allocatio for DPCCH/DPDCH Code allocatio for PRACH message part Code allocatio for PCPCH message part Chaelisatio code for PCPCH power cotrol preamble Scramblig codes Geeral Log scramblig sequece Short scramblig sequece DPCCH/DPDCH scramblig code PRACH message part scramblig code PCPCH message part scramblig code PCPCH power cotrol preamble scramblig code PRACH preamble codes Preamble code costructio Preamble scramblig code Preamble sigature PCPCH preamble codes Access preamble Access preamble code costructio Access preamble scramblig code Access preamble sigature CD preamble CD preamble code costructio CD preamble scramblig code CD preamble sigature Modulatio Modulatig chip rate Modulatio Dowlik spreadig ad modulatio Spreadig Code geeratio ad allocatio Chaelizatio codes Scramblig code Sychroisatio codes Code geeratio...

5 4 TS 5.13 V3.9.0 (003-1) Code allocatio of SSC Modulatio Modulatig chip rate Modulatio... 5 Aex A (iformative): Geeralised Hierarchical Golay Sequeces...6 A.1 Alterative geeratio...6 Aex B (iformative): Chage history...7

6 5 TS 5.13 V3.9.0 (003-1) Foreword This Techical Specificatio (TS) has bee produced by the 3 rd Geeratio Partership Project (). The cotets of the preset documet are subject to cotiuig work withi the TSG ad may chage followig formal TSG approval. Should the TSG modify the cotets of the preset documet, it will be re-released by the TSG with a idetifyig chage of release date ad a icrease i versio umber as follows: Versio x.y.z where: x the first digit: 1 preseted to TSG for iformatio; preseted to TSG for approval; 3 or greater idicates TSG approved documet uder chage cotrol. y the secod digit is icremeted for all chages of substace, i.e. techical ehacemets, correctios, updates, etc. z the third digit is icremeted whe editorial oly chages have bee icorporated i the documet.

7 6 TS 5.13 V3.9.0 (003-1) 1 Scope The preset documet describes spreadig ad modulatio for UTRA Physical Layer FDD mode. Refereces The followig documets cotai provisios which, through referece i this text, costitute provisios of the preset documet. Refereces are either specific (idetified by date of publicatio, editio umber, versio umber, etc.) or o-specific. For a specific referece, subsequet revisios do ot apply. For a o-specific referece, the latest versio applies. I the case of a referece to a documet (icludig a GSM documet), a o-specific referece implicitly refers to the latest versio of that documet i the same Release as the preset documet. [1] 3G TS 5.01: "Physical layer - geeral descriptio". [] 3G TS 5.11: "Physical chaels ad mappig of trasport chaels oto physical chaels (FDD)." [3] 3G TS 5.101: "UE Radio trasmissio ad Receptio (FDD)". [4] 3G TS 5.104: "UTRA (BS) FDD; Radio trasmissio ad Receptio". 3 Symbols ad abbreviatios 3.1 Symbols For the purposes of the preset documet, the followig symbols apply: C ch,sf, : C pre,,s : C c-acc,,s : C c-cd,,s : C sig,s : S dpch, : S r-pre, : S r-msg, : S c-acc : S c-cd : S c-msg, : S dl, : C psc : C ssc, : :th chaelisatio code with spreadig factor SF PRACH preamble code for :th preamble scramblig code ad sigature s PCPCH access preamble code for :th preamble scramblig code ad sigature s PCPCH CD preamble code for :th preamble scramblig code ad sigature s PRACH/PCPCH sigature code for sigature s :th DPCCH/DPDCH uplik scramblig code :th PRACH preamble scramblig code :th PRACH message scramblig code :th PCPCH access preamble scramblig code :th PCPCH CD preamble scramblig code :th PCPCH message scramblig code DL scramblig code PSC code :th SSC code 3. Abbreviatios For the purposes of the preset documet, the followig abbreviatios apply: AICH AP Acquisitio Idicator Chael Access Preamble

8 7 TS 5.13 V3.9.0 (003-1) BCH CCPCH CD CPCH CPICH DCH DPCH DPCCH DPDCH FDD Mcps OVSF PDSCH PICH PRACH PSC RACH SCH SSC SF UE Broadcast Cotrol Chael Commo Cotrol Physical Chael Collisio Detectio Commo Packet Chael Commo Pilot Chael Dedicated Chael Dedicated Physical Chael Dedicated Physical Cotrol Chael Dedicated Physical Data Chael Frequecy Divisio Duplex Mega Chip Per Secod Orthogoal Variable Spreadig Factor (codes) Physical Dedicated Shared Chael Page Idicatio Chael Physical Radom Access Chael Primary Sychroisatio Code Radom Access Chael Sychroisatio Chael Secodary Sychroisatio Code Spreadig Factor User Equipmet 4 Uplik spreadig ad modulatio 4.1 Overview Spreadig is applied to the physical chaels. It cosists of two operatios. The first is the chaelizatio operatio, which trasforms every data symbol ito a umber of chips, thus icreasig the badwidth of the sigal. The umber of chips per data symbol is called the Spreadig Factor (SF). The secod operatio is the scramblig operatio, where a scramblig code is applied to the spread sigal. With the chaelizatio, data symbols o so-called I- ad Q-braches are idepedetly multiplied with a OVSF code. With the scramblig operatio, the resultat sigals o the I- ad Q-braches are further multiplied by complex-valued scramblig code, where I ad Q deote real ad imagiary parts, respectively. 4. Spreadig 4..1 DPCCH/DPDCH Figure 1 illustrates the priciple of the uplik spreadig of DPCCH ad DPDCHs. The biary DPCCH ad DPDCHs to be spread are represeted by real-valued sequeces, i.e. the biary value "0" is mapped to the real value +1, while the biary value "1" is mapped to the real value 1. The DPCCH is spread to the chip rate by the chaelizatio code c c, while the :th DPDCH called DPDCH is spread to the chip rate by the chaelizatio code c d,. Oe DPCCH ad up to six parallel DPDCHs ca be trasmitted simultaeously, i.e. 1 6.

9 8 TS 5.13 V3.9.0 (003-1) c d,1 β d DPDCH 1 c d,3 β d DPDCH 3 Σ I c d,5 β d DPDCH 5 S dpch, I+jQ c d, β d S DPDCH c d,4 β d DPDCH 4 DPDCH 6 c d,6 β d Σ Q c c β c j DPCCH Figure 1: Spreadig for uplik DPCCH ad DPDCHs After chaelizatio, the real-valued spread sigals are weighted by gai factors, β c for DPCCH ad β d for all DPDCHs. At every istat i time, at least oe of the values β c ad β d has the amplitude 1.0. The β-values are quatized ito 4 bit words. The quatizatio steps are give i table 1. Table 1: The quatizatio of the gai parameters Sigallig values for β c ad β d / /15 1 1/ / /15 9 9/15 8 8/15 7 7/15 6 6/15 5 5/15 4 4/15 3 3/15 /15 1 1/15 0 Switch off Quatized amplitude ratios β c ad β d

10 9 TS 5.13 V3.9.0 (003-1) After the weightig, the stream of real-valued chips o the I- ad Q-braches are the summed ad treated as a complex-valued stream of chips. This complex-valued sigal is the scrambled by the complex-valued scramblig code S dpch,. The scramblig code is applied aliged with the radio frames, i.e. the first scramblig chip correspods to the begiig of a radio frame. 4.. PRACH PRACH preamble part The PRACH preamble part cosists of a complex-valued code, described i sectio PRACH message part Figure illustrates the priciple of the spreadig ad scramblig of the PRACH message part, cosistig of data ad cotrol parts. The biary cotrol ad data parts to be spread are represeted by real-valued sequeces, i.e. the biary value "0" is mapped to the real value +1, while the biary value "1" is mapped to the real value 1. The cotrol part is spread to the chip rate by the chaelizatio code c c, while the data part is spread to the chip rate by the chaelizatio code c d. c d β d PRACH message data part I I+jQ S r-msg, PRACH message cotrol part Q S c c β c j Figure : Spreadig of PRACH message part After chaelizatio, the real-valued spread sigals are weighted by gai factors, β c for the cotrol part ad β d for the data part. At every istat i time, at least oe of the values β c ad β d has the amplitude 1.0. The β-values are quatized ito 4 bit words. The quatizatio steps are give i sectio After the weightig, the stream of real-valued chips o the I- ad Q-braches are treated as a complex-valued stream of chips. This complex-valued sigal is the scrambled by the complex-valued scramblig code S r-msg,. The 10 ms scramblig code is applied aliged with the 10 ms message part radio frames, i.e. the first scramblig chip correspods to the begiig of a message part radio frame PCPCH PCPCH preamble part The PCPCH preamble part cosists of a complex-valued code, described i sectio PCPCH message part Figure 3 illustrates the priciple of the spreadig of the PCPCH message part, cosistig of data ad cotrol parts. The biary cotrol ad data parts to be spread are represeted by real-valued sequeces, i.e. the biary value "0" is mapped to the real value +1, while the biary value "1" is mapped to the real value 1. The cotrol part is spread to the chip rate by the chaelizatio code c c, while the data part is spread to the chip rate by the chaelizatio code c d.

11 10 TS 5.13 V3.9.0 (003-1) c d β d PCPCH message data part I I+jQ S c-msg, PCPCH message cotrol part Q S c c β c j Figure 3: Spreadig of PCPCH message part After chaelizatio, the real-valued spread sigals are weighted by gai factors, β c for the cotrol part ad β d for the data part. At every istat i time, at least oe of the values β c ad β d has the amplitude 1.0. The β-values are quatized ito 4 bit words. The quatizatio steps are give i sectio After the weightig, the stream of real-valued chips o the I- ad Q-braches are treated as a complex-valued stream of chips. This complex-valued sigal is the scrambled by the complex-valued scramblig code S c-msg,. The 10 ms scramblig code is applied aliged with the 10 ms message part radio frames, i.e. the first scramblig chip correspods to the begiig of a message part radio frame. 4.3 Code geeratio ad allocatio Chaelizatio codes Code defiitio The chaelizatio codes of figure 1 are Orthogoal Variable Spreadig Factor (OVSF) codes that preserve the orthogoality betwee a user s differet physical chaels. The OVSF codes ca be defied usig the code tree of figure 4. C ch,1,0 = (1) C ch,,0 = (1,1) C ch,,1 = (1,-1) C ch,4,0 =(1,1,1,1) C ch,4,1 = (1,1,-1,-1) C ch,4, = (1,-1,1,-1) C ch,4,3 = (1,-1,-1,1) SF = 1 SF = SF = 4 Figure 4: Code-tree for geeratio of Orthogoal Variable Spreadig Factor (OVSF) codes I figure 4, the chaelizatio codes are uiquely described as C ch,sf,k, where SF is the spreadig factor of the code ad k is the code umber, 0 k SF-1.

12 11 TS 5.13 V3.9.0 (003-1) Each level i the code tree defies chaelizatio codes of legth SF, correspodig to a spreadig factor of SF i figure 4. The geeratio method for the chaelizatio code is defied as: C ch,1,0 = 1, C C ch,,0 ch,,1 C = C ch,1,0 ch,1,0 C C ch,1,0 ch,1,0 1 = C C C C C C ch, ( + 1),0 ch, ( + 1),1 ch, ( + 1), ch, ( + 1),3 : ch, ( + 1), ( + 1) ch, ( + 1), ( + 1) 1 C ch, C ch, C ch, = C ch, : C ch,, C ch,,,0,0,1,1 1 1 C C C C C C ch,,0 ch,,0 ch,,1 ch,,1 : ch,, 1 ch,, 1 The leftmost value i each chaelizatio code word correspods to the chip trasmitted first i time Code allocatio for DPCCH/DPDCH For the DPCCH ad DPDCHs the followig applies: - The DPCCH is always spread by code c c = C ch,56,0. - Whe oly oe DPDCH is to be trasmitted, DPDCH 1 is spread by code c d,1 = C ch,sf,k where SF is the spreadig factor of DPDCH 1 ad k= SF / 4. - Whe more tha oe DPDCH is to be trasmitted, all DPDCHs have spreadig factors equal to 4. DPDCH is spread by the the code c d, = C ch,4,k, where k = 1 if {1, }, k = 3 if {3, 4}, ad k = if {5, 6}. If a power cotrol preamble is used to iitialise a DCH, the chaelisatio code for the DPCCH durig the power cotrol preamble shall be the same as that to be used afterwards Code allocatio for PRACH message part The preamble sigature s, 0 s 15, poits to oe of the 16 odes i the code-tree that correspods to chaelizatio codes of legth 16. The sub-tree below the specified ode is used for spreadig of the message part. The cotrol part is spread with the chaelizatio code c c (as show i sectio 4...) of spreadig factor 56 i the lowest brach of the sub-tree, i.e. c c = C ch,56,m where m = 16 s The data part uses ay of the chaelizatio codes from spreadig factor 3 to 56 i the upper-most brach of the sub-tree. To be exact, the data part is spread by chaelizatio code c d = C ch,sf,m ad SF is the spreadig factor used for the data part ad m = SF s/ Code allocatio for PCPCH message part For the cotrol part ad data part the followig applies: - The cotrol part is always spread by code c c =C ch,56,0. - The data part is spread by code c d =C ch,sf,k where SF is the spreadig factor of the data part ad k=sf/4. The data part may use the code from spreadig factor 4 to 56. A UE is allowed to icrease SF durig the message trasmissio o a frame by frame basis.

13 1 TS 5.13 V3.9.0 (003-1) Chaelisatio code for PCPCH power cotrol preamble The chaelisatio code for the PCPCH power cotrol preamble is the same as that used for the cotrol part of the message part, as described i sectio above Scramblig codes Geeral All uplik physical chaels are subjected to scramblig with a complex-valued scramblig code. The DPCCH/DPDCH may be scrambled by either log or short scramblig codes, defied i sectio The PRACH message part is scrambled with a log scramblig code, defied i sectio Also the PCPCH message part is scrambled with a log scramblig code, defied i sectio There are 4 log ad 4 short uplik scramblig codes. Uplik scramblig codes are assiged by higher layers. The log scramblig code is built from costituet log sequeces defied i sectio 4.3.., while the costituet short sequeces used to build the short scramblig code are defied i sectio Log scramblig sequece The log scramblig sequeces c log,1, ad c log,, are costructed from positio wise modulo sum of chip segmets of two biary m-sequeces geerated by meas of two geerator polyomials of degree 5. Let x, ad y be the two m-sequeces respectively. The x sequece is costructed usig the primitive (over GF()) polyomial X 5 +X The y sequece is costructed usig the polyomial X 5 +X 3 +X +X+1. The resultig sequeces thus costitute segmets of a set of Gold sequeces. The sequece c log,, is a chip shifted versio of the sequece c log,1,. Let 3 0 be the 4 bit biary represetatio of the scramblig sequece umber with 0 beig the least sigificat bit. The x sequece depeds o the chose scramblig sequece umber ad is deoted x, i the sequel. Furthermore, let x (i) ad y(i) deote the i:th symbol of the sequece x ad y, respectively. The m-sequeces x ad y are costructed as: Iitial coditios: - x (0)= 0, x (1)= 1, =x ()=,x (3)= 3, x (4)=1. - y(0)=y(1)= =y(3)= y(4)=1. Recursive defiitio of subsequet symbols: - x (i+5) =x (i+3) + x (i) modulo, i=0,, y(i+5) = y(i+3)+y(i+) +y(i+1) +y(i) modulo, i=0,, 5-7. Defie the biary Gold sequece z by: - z (i) = x (i) + y(i) modulo, i = 0, 1,,, 5 -. The real valued Gold sequece Z is defied by: Z + 1 if z ( i) = 0 ( i) = for i = 0,1, K, 1 if z ( i) = 1 Now, the real-valued log scramblig sequeces c log,1, ad c log,, are defied as follows: c log,1, (i) = Z (i), i = 0, 1,,, 5 ad 5 c log,, (i) = Z ((i ) modulo ( 5 1)), i = 0, 1,,, 5. Fially, the complex-valued log scramblig sequece C log,, is defied as:.

14 C 13 ( + j ) i ( 1) clog, ( / ) ( i) = clog,1, ( i) 1, log, i TS 5.13 V3.9.0 (003-1) where i = 0, 1,, 5 ad deotes roudig to earest lower iteger. c log,1, MSB LSB c log,, Figure 5: Cofiguratio of uplik scramblig sequece geerator Short scramblig sequece The short scramblig sequeces c short,1, (i) ad c short,, (i) are defied from a sequece from the family of periodically exteded S() codes. Let 3 0 be the 4 bit biary represetatio of the code umber. The :th quaterary S() sequece z (i), , is obtaied by modulo 4 additio of three sequeces, a quaterary sequece a(i) ad two biary sequeces b(i) ad d(i), where the iitial loadig of the three sequeces is determied from the code umber. The sequece z (i) of legth 55 is geerated accordig to the followig relatio: - z (i) = a(i) + b(i) + d(i) modulo 4, i = 0, 1,, 54; where the quaterary sequece a(i) is geerated recursively by the polyomial g 0 (x)= x 8 +x 5 +3x 3 +x +x+1 as: - a(0) = modulo 4; - a(i) = i modulo 4, i = 1,,, 7; - a(i) = 3a(i-3) + a(i-5) + 3a(i-6) + a(i-7) + 3a(i-8) modulo 4, i = 8, 9,, 54; ad the biary sequece b(i) is geerated recursively by the polyomial g 1 (x)= x 8 +x 7 +x 5 +x+1 as b(i) = 8+i modulo, i = 0, 1,, 7, b(i) = b(i-1) + b(i-3) + b(i-7) + b(i-8) modulo, i = 8, 9,, 54, ad the biary sequece d(i) is geerated recursively by the polyomial g (x)= x 8 +x 7 +x 5 +x 4 +1 as: d(i) = 16+i modulo, i = 0, 1,, 7; d(i) = d(i-1) + d(i-3) + d(i-4) + d(i-8) modulo, i = 8, 9,, 54. The sequece z (i) is exteded to legth 56 chips by settig z (55) = z (0). The mappig from z (i) to the real-valued biary sequeces c short,1, (i) ad c short,, (i),, i = 0, 1,, 55 is defied i Table.

15 14 TS 5.13 V3.9.0 (003-1) Table : Mappig from z (i) to c short,1, (i) ad c short,, (i), i = 0, 1,, 55 z (i) c short,1,(i) c short,,(i) Fially, the complex-valued short scramblig sequece C short,, is defied as: C ( i) = cshort,1, ( i mod 56) 1, ( + j ) i ( 1) cshort, ( ( mod 56) / ) short, i where i = 0, 1,, ad deotes roudig to earest lower iteger. A implemetatio of the short scramblig sequece geerator for the 55 chip sequece to be exteded by oe chip is show i Figure d(i) mod + mod additio multiplicatio mod 1 0 b(i) mod 4 + z (i) Mapper cshort,1,(i) cshort,,(i) a(i) mod Figure 6: Uplik short scramblig sequece geerator for 55 chip sequece DPCCH/DPDCH scramblig code The code used for scramblig of the uplik DPCCH/DPDCH may be of either log or short type. Whe the scramblig code is formed, differet cosituet codes are used for the log ad short type as defied below. The :th uplik scramblig code for DPCCH/DPDCH, deoted S dpch,, is defied as: S dpch, (i) = C log, (i), i = 0, 1,, 38399, whe usig log scramblig codes; where the lowest idex correspods to the chip trasmitted first i time ad C log, is defied i sectio The :th uplik scramblig code for DPCCH/DPDCH, deoted S dpch,, is defied as: S dpch, (i) = C short, (i), i = 0, 1,, 38399, whe usig short scramblig codes; where the lowest idex correspods to the chip trasmitted first i time ad C short, is defied i sectio PRACH message part scramblig code The scramblig code used for the PRACH message part is 10 ms log, ad there are 819 differet PRACH scramblig codes defied.

16 15 TS 5.13 V3.9.0 (003-1) The :th PRACH message part scramblig code, deoted S r-msg,, where = 0, 1,, 8191, is based o the log scramblig sequece ad is defied as: S r-msg, (i) = C log, (i ), i = 0, 1,, where the lowest idex correspods to the chip trasmitted first i time ad C log, is defied i sectio The message part scramblig code has a oe-to-oe correspodece to the scramblig code used for the preamble part. For oe PRACH, the same code umber is used for both scramblig codes, i.e. if the PRACH preamble scramblig code used is S r-pre,m the the PRACH message part scramblig code is S r-msg,m, where the umber m is the same for both codes PCPCH message part scramblig code The set of scramblig codes used for the PCPCH message part are 10 ms log, cell-specific, ad each scramblig code has a oe-to-oe correspodece to the sigature sequece ad the access sub-chael used by the access preamble part. Both log or short scramblig codes ca be used to scramble the CPCH message part. There are 64 uplik scramblig codes defied per cell ad 3768 differet PCPCH scramblig codes defied i the system. The :th PCPCH message part scramblig code, deoted S c-msg,,, where =819,8193,,40959 scramblig sequece ad is defied as: is based o the I the case whe the log scramblig codes are used: S c-msg, (i) = C log, (i ), i = 0, 1,, where the lowest idex correspods to the chip trasmitted first i time ad C log, is defied i sectio I the case the short scramblig codes are used: S c-msg, (i) = C short, (i), i = 0, 1,, The 3768 PCPCH scramblig codes are divided ito 51 groups with 64 codes i each group. There is a oe-to-oe correspodece betwee the group of PCPCH preamble scramblig codes i a cell ad the primary scramblig code used i the dowlik of the cell. The k:th PCPCH scramblig code withi the cell with dowlik primary scramblig code m, k =16,17,, 79 ad m = 0, 1,,, 511, is S c-msg, as defied above with = 64 m + k PCPCH power cotrol preamble scramblig code The scramblig code for the PCPCH power cotrol preamble is the same as for the PCPCH message part, as described i sectio above. The phase of the scramblig code shall be such that the ed of the code is aliged with the frame boudary at the ed of the power cotrol preamble PRACH preamble codes Preamble code costructio The radom access preamble code C pre,, is a complex valued sequece. It is built from a preamble scramblig code S r-pre, ad a preamble sigature C sig,s as follows: - C pre,,s (k) = S r-pre, (k) C sig,s (k) e ( π π j + ) 4 k, k = 0, 1,, 3,, 4095; where k=0 correspods to the chip trasmitted first i time ad S r-pre, ad C sig,s are defied i ad below respectively Preamble scramblig code The scramblig code for the PRACH preamble part is costructed from the log scramblig sequeces. There are 819 PRACH preamble scramblig codes i total. The :th preamble scramblig code, = 0, 1,, 8191, is defied as:

17 16 TS 5.13 V3.9.0 (003-1) S r-pre, (i) = c log,1, (i), i = 0, 1,, 4095; where the sequece c log,1, is defied i sectio The 819 PRACH preamble scramblig codes are divided ito 51 groups with 16 codes i each group. There is a oeto-oe correspodece betwee the group of PRACH preamble scramblig codes i a cell ad the primary scramblig code used i the dowlik of the cell. The k:th PRACH preamble scramblig code withi the cell with dowlik primary scramblig code m, k = 0, 1,,, 15 ad m = 0, 1,,, 511, is S r-pre, (i) as defied above with = 16 m + k Preamble sigature The preamble sigature correspodig to a sigature s cosists of 56 repetitios of a legth 16 sigature P s (), =0 15. This is defied as follows: - C sig,s (i) = P s (i modulo 16), i = 0, 1,, The sigature P s () is from the set of 16 Hadamard codes of legth 16. These are listed i table 3. Table 3: Preamble sigatures Preamble Value of sigature P 0() P 1() P () P 3() P 4() P 5() P 6() P 7() P 8() P 9() P 10() P 11() P 1() P 13() P 14() P 15() PCPCH preamble codes Access preamble Access preamble code costructio Similar to PRACH access preamble codes, the PCPCH access preamble codes C c-acc,,s, are complex valued sequeces. The PCPCH access preamble codes are built from the preamble scramblig codes S c-acc, ad a preamble sigature C sig,s as follows: - C c-acc,,s (k) = S c-acc, (k) C sig,s (k) e ( π π j + ) 4 k, k = 0, 1,, 3,, 4095; - where S c-acc, ad C sig,s are defied i sectio ad below respectively Access preamble scramblig code The scramblig code for the PCPCH preamble part is costructed from the log scramblig sequeces. There are PCPCH access preamble scramblig codes i total. The :th PCPCH access preamble scramblig code, where = 0,..., is defied as:

18 17 TS 5.13 V3.9.0 (003-1) - S c-acc, (i) = c log,1, (i), i = 0, 1,, 4095; where the sequece c log,1, is defied i sectio The PCPCH access preamble scramblig codes are divided ito 51 groups with 80 codes i each group. There is a oe-to-oe correspodece betwee the group of PCPCH access preamble scramblig codes i a cell ad the primary scramblig code used i the dowlik of the cell. The k:th PCPCH scramblig code withi the cell with dowlik primary scramblig code m, for k = 0,..., 79 ad m = 0, 1,,, 511, is S c-acc, as defied above with =16 m+k for k=0,...,15 ad = 64 m + (k-16)+819 for k=16,..., 79. The idex k = 0,...,15 may oly be used as a PCPCH access preamble part scramblig code if the same code is also used for a PRACH. The idex k=16,..., 79 correspod to PCPCH access preamble scramblig codes which are ot shared together with a PRACH. This leads to 3768 PCPCH specific preamble scramblig codes divided ito 51 groups with 64 elemets Access preamble sigature The access preamble part of the CPCH-access burst carries oe of the sixtee differet orthogoal complex sigatures idetical to the oes used by the preamble part of the radom-access burst CD preamble CD preamble code costructio Similar to PRACH access preamble codes, the PCPCH CD preamble codes C c-cd,,s are complex valued sequeces. The PCPCH CD preamble codes are built from the preamble scramblig codes Sc-cd, ad a preamble sigature C sig,s as follows: - C c-cd,,s (k) = S c-cd, (k) C sig,s (k) e ( π π j + ) 4 k, k = 0, 1,, 3,, 4095; where S c-cd, ad C sig,s are defied i sectios ad below respectively CD preamble scramblig code There are PCPCH-CD preamble scramblig codes i total. The :th PCPCH CD access preamble scramblig code, where = 0,..., 40959, is defied as: - S c-cd, (i) = c log,1, (i), i = 0, 1,, 4095; where the sequece c log,1, is defied i sectio The PCPCH scramblig codes are divided ito 51 groups with 80 codes i each group. There is a oe-to-oe correspodece betwee the group of PCPCH CD preamble scramblig codes i a cell ad the primary scramblig code used i the dowlik of the cell. The k:th PCPCH scramblig code withi the cell with dowlik primary scramblig code m, k = 0,1,, 79 ad m = 0, 1,,, 511, is S c-cd, as defied above with =16 m+k for k = 0,...,15 ad = 64 m + (k-16)+819 for k=16,...,79. The idex k=0,...,15 may oly be used as a PCPCH CD preamble part scramblig code if the same code is also used for a PRACH. The idex k=16,..., 79 correspod to PCPCH CD preamble scramblig codes which are ot shared together with a PRACH. This leads to 3768 PCPCH specific preamble scramblig codes divided ito 51 groups with 64 elemets CD preamble sigature The CD-preamble part of the CPCH-access burst carries oe of sixtee differet orthogoal complex sigatures idetical to the oes used by the preamble part of the radom-access burst.

19 18 TS 5.13 V3.9.0 (003-1) 4.4 Modulatio Modulatig chip rate The modulatig chip rate is 3.84 Mcps Modulatio I the uplik, the complex-valued chip sequece geerated by the spreadig process is QPSK modulated as show i Figure 7 below: cos(ωt) Complex-valued chip sequece from spreadig operatios S Split real & imag. parts Re{S} Im{S} Pulseshapig Pulseshapig -si(ωt) The pulse-shapig characteristics are described i [3]. Figure 7: Uplik modulatio 5 Dowlik spreadig ad modulatio 5.1 Spreadig Figure 8 illustrates the spreadig operatio for all dowlik physical chaels except SCH, i.e. for P-CCPCH, S- CCPCH, CPICH, AICH, AP-AICH, CD/CA-ICH, PICH, CSICH, PDSCH, ad dowlik DPCH. The o-spread physical chaels except SCH, AICH, AP-AICH ad CD/CA-ICH cosist of a sequece of 3-valued digits takig the values 0, 1, "DTX". Note that "DTX" is oly applicable to those dowlik physical chaels that support DTX trasmissio. Before the spreadig operatio, these are mapped to real-valued symbols as follows: the biary value "0" is mapped to the real value +1, the biary value "1" is mapped to the real value 1 ad "DTX" is mapped to the real value 0. For the idicator chaels usig sigatures (AICH, AP-AICH ad CD/CA-ICH), the real-valued symbols deped o the exact combiatio of the idicators to be trasmitted, compare [] sectios , ad Each pair of two cosecutive real-valued symbols is first serial-to-parallel coverted ad mapped to a I ad Q brach. The mappig is such that eve ad odd umbered symbols are mapped to the I ad Q brach respectively. For all chaels except the idicator chaels usig sigatures, symbol umber zero is defied as the first symbol i each frame. For the idicator chaels usig sigatures, symbol umber zero is defied as the first symbol i each access slot. The I ad Q braches are the both spread to the chip rate by the same real-valued chaelizatio code C ch,sf,m. The chaelizatio code sequece shall be aliged i time with the symbol boudary. The sequeces of real-valued chips o the I ad Q brach are the treated as a sigle complex-valued sequece of chips. This sequece of chips is scrambled (complex chip-wise multiplicatio) by a complex-valued scramblig code S dl,. I case of P-CCPCH, the scramblig code is applied aliged with the P-CCPCH frame boudary, i.e. the first complex chip of the spread P-CCPCH frame is multiplied with chip umber zero of the scramblig code. I case of other dowlik chaels, the scramblig code is applied aliged with the scramblig code applied to the P-CCPCH. I this case, the scramblig code is thus ot ecessarily applied aliged with the frame boudary of the physical chael to be scrambled.

20 19 TS 5.13 V3.9.0 (003-1) Ay dowlik physical chael except SCH S P C ch,sf,m I Q I+jQ S dl, S j Figure 8: Spreadig for all dowlik physical chaels except SCH Figure 9 illustrates how differet dowlik chaels are combied. Each complex-valued spread chael, correspodig to poit S i Figure 8, is separately weighted by a weight factor G i. The complex-valued P-SCH ad S- SCH, as described i [], sectio , are separately weighted by weight factors G p ad G s. All dowlik physical chaels are the combied usig complex additio. Differet dowlik Physical chaels (poit S i Figure 8) G 1 G Σ P-SCH G P Σ (poit T i Figure 11) S-SCH G S Figure 9: Combiig of dowlik physical chaels 5. Code geeratio ad allocatio 5..1 Chaelizatio codes The chaelizatio codes of figure 8 are the same codes as used i the uplik, amely Orthogoal Variable Spreadig Factor (OVSF) codes that preserve the orthogoality betwee dowlik chaels of differet rates ad spreadig factors. The OVSF codes are defied i figure 4 i sectio The chaelizatio code for the Primary CPICH is fixed to C ch,56,0 ad the chaelizatio code for the Primary CCPCH is fixed to C ch,56,1.the chaelizatio codes for all other physical chaels are assiged by UTRAN. With the spreadig factor 51 a specific restrictio is applied. Whe the code word C ch,51,, with =0,,4.510, is used i soft hadover, the the code word C ch,51,+1 is ot allocated i the cells where timig adjustmet is to be used. Respectively if C ch,51,, with =1,3,5.511 is used, the the code word C ch,51,-1 is ot allocated i the cells where timig adjustmet is to be used. This restrictio shall ot apply i cases where timig adjustmets i soft hadover are ot used with spreadig factor 51.

21 0 TS 5.13 V3.9.0 (003-1) Whe compressed mode is implemeted by reducig the spreadig factor by, the OVSF code used for compressed frames is: - C ch,sf/, / if ordiary scramblig code is used. - C ch,sf/, mod SF/ if alterative scramblig code is used (see sectio 5..); where C ch,sf, is the chaelizatio code used for o-compressed frames. I case the OVSF code o the PDSCH varies from frame to frame, the OVSF codes shall be allocated i such a way that the OVSF code(s) below the smallest spreadig factor will be from the brach of the code tree poited by the code with smallest spreadig factor used for the coectio which is called PDSCH root chaelisatio code. This meas that all the codes for this UE for the PDSCH coectio ca be geerated accordig to the OVSF code geeratio priciple from the PDSCH root chaelisatio code i.e. the code with smallest spreadig factor used by the UE o PDSCH. I case of mappig the DSCH to multiple parallel PDSCHs, the same rule applies, but all of the braches idetified by the multiple codes, correspodig to the smallest spreadig factor, may be used for higher spreadig factor allocatio i.e. the multiple codes with smallest spreadig factor ca be cosidered as PDSCH root chaelisatio codes. 5.. Scramblig code A total of 18-1 = 6,143 scramblig codes, umbered 0 6,14 ca be geerated. However ot all the scramblig codes are used. The scramblig codes are divided ito 51 sets each of a primary scramblig code ad 15 secodary scramblig codes. The primary scramblig codes cosist of scramblig codes =16*i where i= The i:th set of secodary scramblig codes cosists of scramblig codes 16*i+k, where k=1 15. There is a oe-to-oe mappig betwee each primary scramblig code ad 15 secodary scramblig codes i a set such that i:th primary scramblig code correspods to i:th set of secodary scramblig codes. Hece, accordig to the above, scramblig codes k = 0, 1,, 8191 are used. Each of these codes are associated with a left alterative scramblig code ad a right alterative scramblig code, that may be used for compressed frames. The left alterative scramblig code correspodig to scramblig code k is scramblig code umber k + 819, while the right alterative scramblig code correspodig to scramblig code k is scramblig code umber k The alterative scramblig codes ca be used for compressed frames. I this case, the left alterative scramblig code is used if <SF/ ad the right alterative scramblig code is used if SF/, where c ch,sf, is the chaelizatio code used for o-compressed frames. The usage of alterative scramblig code for compressed frames is sigalled by higher layers for each physical chael respectively. The set of primary scramblig codes is further divided ito 64 scramblig code groups, each cosistig of 8 primary scramblig codes. The j:th scramblig code group cosists of primary scramblig codes 16*8*j+16*k, where j=0..63 ad k=0..7. Each cell is allocated oe ad oly oe primary scramblig code. The primary CCPCH, primary CPICH, PICH, AICH, AP-AICH, CD/CA-ICH, CSICH ad S-CCPCH carryig PCH are always trasmitted usig the primary scramblig code. The other dowlik physical chaels ca be trasmitted with either the primary scramblig code or a secodary scramblig code from the set associated with the primary scramblig code of the cell. The mixture of primary scramblig code ad o more tha oe secodary scramblig code for oe CCTrCH is allowable. I compressed mode durig compressed frames, these ca be chaged to the associated left or right scramblig codes as described above, i.e. i these frames, the total umber of differet scramblig codes may exceed two. I the case of the CCTrCH of type DSCH, all the PDSCH chaelisatio codes that a sigle UE may receive shall be uder a sigle scramblig code (either the primary or a secodary scramblig code). The scramblig code sequeces are costructed by combiig two real sequeces ito a complex sequece. Each of the two real sequeces are costructed as the positio wise modulo sum of chip segmets of two biary m- sequeces geerated by meas of two geerator polyomials of degree 18. The resultig sequeces thus costitute segmets of a set of Gold sequeces. The scramblig codes are repeated for every 10 ms radio frame. Let x ad y be the two sequeces respectively. The x sequece is costructed usig the primitive (over GF()) polyomial 1+X 7 +X 18. The y sequece is costructed usig the polyomial 1+X 5 +X 7 + X 10 +X 18.

22 1 TS 5.13 V3.9.0 (003-1) The sequece depedig o the chose scramblig code umber is deoted z, i the sequel. Furthermore, let x(i), y(i) ad z (i) deote the i:th symbol of the sequece x, y, ad z, respectively. The m-sequeces xad y are costructed as: Iitial coditios: - x is costructed with x (0)=1, x(1)= x()=...= x (16)= x (17)=0. - y(0)=y(1)= =y(16)= y(17)=1. Recursive defiitio of subsequet symbols: - x(i+18) =x(i+7) + x(i) modulo, i=0,, y(i+18) = y(i+10)+y(i+7)+y(i+5)+y(i) modulo, i=0,, The :th Gold code sequece z, =0,1,,, 18 -, is the defied as: - z (i) = x((i+) modulo ( 18-1)) + y(i) modulo, i=0,, These biary sequeces are coverted to real valued sequeces Z by the followig trasformatio: Z + 1 if z ( i) = 0 ( i) = for i = 0,1, K, 1 if z ( i) = 1 Fially, the :th complex scramblig code sequece S dl, is defied as: - S dl, (i) = Z (i) + j Z ((i+13107) modulo ( 18-1)), i=0,1,, Note that the patter from phase 0 up to the phase of is repeated I Q Figure 10: Cofiguratio of dowlik scramblig code geerator 5..3 Sychroisatio codes Code geeratio The primary sychroisatio code (PSC), C psc is costructed as a so-called geeralised hierarchical Golay sequece. The PSC is furthermore chose to have good aperiodic auto correlatio properties.

23 TS 5.13 V3.9.0 (003-1) Defie: - a = <x 1, x, x 3,, x 16 > = <1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1> The PSC is geerated by repeatig the sequece a modulated by a Golay complemetary sequece, ad creatig a complex-valued sequece with idetical real ad imagiary compoets. The PSC C psc is defied as: - C psc = (1 + j) <a, a, a, -a, -a, a, -a, -a, a, a, a, -a, a, -a, a, a>; where the leftmost chip i the sequece correspods to the chip trasmitted first i time. The 16 secodary sychroizatio codes (SSCs), {C ssc,1,,c ssc,16}, are complex-valued with idetical real ad imagiary compoets, ad are costructed from positio wise multiplicatioof a Hadamard sequece ad a sequece z, defied as: - z = <b, b, b, -b, b, b, -b, -b, b, -b, b, -b, -b, -b, -b, -b>, where - b = <x 1, x, x 3, x 4, x 5, x 6, x 7, x 8, -x 9, -x 10, -x 11, -x 1, -x 13, -x 14, -x 15, -x 16 > ad x 1, x,, x 15, x 16, are same as i the defiitio of the sequece a above. The Hadamard sequeces are obtaied as the rows i a matrix H 8 costructed recursively by: H k H = H H k 1 k 1 0 = (1) H H k 1 k 1, k 1 The rows are umbered from the top startig with row 0 (the all oes sequece). Deote the :th Hadamard sequece as a row of H 8 umbered from the top, = 0, 1,,, 55, i the sequel. Furthermore, let h (i) ad z(i) deote the i:th symbol of the sequece h ad z, respectively where i = 0, 1,,, 55 ad i = 0 correspods to the leftmost symbol. The k:th SSC, C ssc,k, k = 1,, 3,, 16 is the defied as: - C ssc,k = (1 + j) <h m (0) z(0), h m (1) z(1), h m () z(),, h m (55) z(55)>; where m = 16 (k 1) ad the leftmost chip i the sequece correspods to the chip trasmitted first i time Code allocatio of SSC The 64 secodary SCH sequeces are costructed such that their cyclic-shifts are uique, i.e., a o-zero cyclic shift less tha 15 of ay of the 64 sequeces is ot equivalet to some cyclic shift of ay other of the 64 sequeces. Also, a o-zero cyclic shift less tha 15 of ay of the sequeces is ot equivalet to itself with ay other cyclic shift less tha 15. Table 4 describes the sequeces of SSCs used to ecode the 64 differet scramblig code groups. The etries i table 4 deote what SSC to use i the differet slots for the differet scramblig code groups, e.g. the etry "7" meas that SSC C ssc,7 shall be used for the correspodig scramblig code group ad slot.

24 3 TS 5.13 V3.9.0 (003-1) Table 4: Allocatio of SSCs for secodary SCH Scramblig slot umber Code Group #0 #1 # #3 #4 #5 #6 #7 #8 #9 #10 #11 #1 #13 #14 Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group Group

25 4 TS 5.13 V3.9.0 (003-1) Scramblig slot umber Code Group #0 #1 # #3 #4 #5 #6 #7 #8 #9 #10 #11 #1 #13 #14 Group Group Group Group Group Group Group Group Group Group Group Group Group Group Modulatio Modulatig chip rate The modulatig chip rate is 3.84 Mcps Modulatio I the dowlik, the complex-valued chip sequece geerated by the spreadig process is QPSK modulated as show i Figure 11 below. cos(ωt) Complex-valued chip sequece from summig operatios T Split real & imag. parts Re{T} Im{T} Pulseshapig Pulseshapig -si(ωt) The pulse-shapig characteristics are described i [4]. Figure 11: Dowlik modulatio

26 5 TS 5.13 V3.9.0 (003-1) Aex A (iformative): Geeralised Hierarchical Golay Sequeces A.1 Alterative geeratio The geeralised hierarchical Golay sequeces for the PSC described i may be also viewed as geerated (i real valued represetatio) by the followig methods: Method 1. The sequece y is costructed from two costituet sequeces x 1 ad x of legth 1 ad respectively usig the followig formula: - y(i) = x (i mod ) * x 1 (i div ), i = 0... ( 1 * ) - 1. The costituet sequeces x 1 ad x are chose to be the followig legth 16 (i.e. 1 = =16) sequeces: - x 1 is defied to be the legth 16 (N (1) =4) Golay complemetary sequece obtaied by the delay matrix D (1) = [8, 4, 1,] ad weight matrix W (1) = [1, -1, 1,1]. - x is a geeralised hierarchical sequece usig the followig formula, selectig s= ad usig the two Golay complemetary sequeces x 3 ad x 4 as costituet sequeces. The legth of the sequece x 3 ad x 4 is called 3 respectively 4. - x (i) = x 4 (i mod s + s*(i div s 3 )) * x 3 ((i div s) mod 3 ), i = 0... ( 3 * 4 ) x 3 ad x 4 are defied to be idetical ad the legth 4 (N (3) = N (4) =) Golay complemetary sequece obtaied by the delay matrix D (3) = D (4) = [1, ] ad weight matrix W (3) = W (4) = [1, 1]. The Golay complemetary sequeces x 1,x 3 ad x 4 are defied usig the followig recursive relatio: a 0 (k) = δ(k) ad b 0 (k) = δ(k); a (k) = a -1 (k) + W (j) b -1 (k-d (j) ); b (k) = a -1 (k) - W (j) b -1 (k-d (j) ); k = 0, 1,,, **N (j) -1; = 1,,, N (j). The wated Golay complemetary sequece x j is defied by a described by δ, k,j ad are itegers. assumig =N (j). The Kroecker delta fuctio is Method The sequece y ca be viewed as a prued Golay complemetary sequece ad geerated usig the followig parameters which apply to the geerator equatios for a ad b above: (a) Let j = 0, N (0) = 8. (b) [D 1 0,D 0,D 3 0,D 4 0,D 5 0,D 6 0,D 7 0,D 8 0 ] = [18, 64, 16, 3, 8, 1, 4, ]. (c) [W 1 0,W 0,W 3 0,W 4 0,W 5 0,W 6 0,W 7 0,W 8 0 ] = [1, -1, 1, 1, 1, 1, 1, 1]. (d) For = 4, 6, set b 4 (k) = a 4 (k), b 6 (k) = a 6 (k).

27 6 TS 5.13 V3.9.0 (003-1) Aex B (iformative): Chage history Chage history Date TSG # TSG Doc. CR Rev Subject/Commet Old New 14/01/00 RAN_05 RP Approved at TSG RAN #5 ad placed uder Chage Cotrol 14/01/00 RAN_06 RP Harmoizatio of otatios for dowlik scramblig codes /01/00 RAN_06 RP Update of dowlik spreadig descriptio /01/00 RAN_06 RP Update of TS 5.13 uplik parts /01/00 RAN_06 RP Updated modulatio descriptio /01/00 RAN_06 RP Restrictio for spreadig factor 51 allocatio i the UTRA FDD Dowlik 14/01/00 RAN_06 RP CPCH codes i power cotrol preamble /01/00 RAN_06 RP Support of short codes for CPCH /01/00 RAN_06 RP Editorial Chage /01/00 RAN_06 RP Chaelizatio Code Allocatio for USTS /01/00 RAN_06 RP Correctio (Editorial Chage) /01/00 RAN_06 RP Correctio to code allocatio for compressed mode /01/ Chage history was added by the editor /03/00 RAN_07 RP Cosistet umberig of scramblig code groups /03/00 RAN_07 RP Dowlik sigal flow correctios /03/00 RAN_07 RP Uplik sigal flow correctios /03/00 RAN_07 RP Number of RACH scramblig codes /03/00 RAN_07 RP Editorial chages to /03/00 RAN_07 RP Number of PCPCH scramblig codes per cell /03/00 RAN_07 RP A typo correctio for 5.. ad clarificatio for of TS V /03/00 RAN_07 RP Chaelizatio code allocatio method for PCPCH message part 31/03/00 RAN_07 RP Clarificatios to DSCH scramblig ad modulatio i /03/00 RAN_07 RP Clea up of USTS related specificatios /06/00 RAN_08 RP Clarificatios to power cotrol preamble sectios /06/00 RAN_08 RP Numberig of the PCPCH access preamble ad collisio detectio preamble scramblig codes 6/06/00 RAN_08 RP DPDCH/DPCCH gai factors /1/00 RAN_10 RP Proposed removal of the optio of secodary scramblig code for some dowlik commo chaels 16/03/01 RAN_11 RP Clarificatio of chaelizatio codes whe SF= /03/01 RAN_11 RP Clarificatio of the scramblig code of a power cotrol preamble /06/01 RAN_1 RP Clarificatio of DL chaelizatio code aligmet /06/01 RAN_1 RP Clarificatio of PDSCH root chaelisatio code defiitio /1/01 RAN_14 RP Correctio of sectio umber referece /06/0 RAN_16 RP Dowlik bit mappig /01/04 RAN_ RP Restrictio of DL secodary scramblig codes per CCTrCH