B.1 Alternative generation

25.2233GPPRelease 17Spreading and modulation (TDD)TS

The generalised hierarchical Golay sequences for the PSC described in 7.1 may be also viewed as generated (in real valued representation) by the following methods:

Method 1.

The sequence y is constructed from two constituent sequences x1 and x2 of length n1 and n2 respectively using the following formula:

– y(i) = x2(i mod n2) * x1(i div n2), i = 0 … (n1* n2) – 1.

The constituent sequences x1 and x2 are chosen to be the following length 16 (i.e. n1 = n2 =16) sequences:

– x1 is defined to be the length 16 (N(1)=4) Golay complementary sequence obtained by the delay matrix D(1) = [8, 4, 1,2] and weight matrix W(1) = [1, -1, 1,1].

– x2 is a generalised hierarchical sequence using the following formula, selecting s=2 and using the two Golay complementary sequences x3 and x4 as constituent sequences. The length of the sequence x3 and x4 is called n3 respectively n4.

– x2(i) = x4(i mod s + s*(i div sn3)) * x3((i div s) mod n3), i = 0 … (n3* n4) – 1.

– x3 and x4 are defined to be identical and the length 4 (N(3)= N(4)=2) Golay complementary sequence obtained by the delay matrix D(3) = D(4) = [1, 2] and weight matrix W(3) = W(4) = [1, 1].

The Golay complementary sequences x1,x3 and x4 are defined using the following recursive relation:

a0(k) = (k) and b0(k) = (k);

an(k) = an-1(k) + W(j)n·bn-1(kD(j)n);

bn(k) = an-1(k) – W(j)n·bn-1(kD(j)n);

k = 0, 1, 2, …, 2**N(j) -1;

n = 1, 2, …, N(j).

The wanted Golay complementary sequence xj is defined by an assuming n=N(j). The Kronecker delta function is described by , k,j and n are integers.

Method 2

The sequence y can be viewed as a pruned Golay complementary sequence and generated using the following parameters which apply to the generator equations for a and b above:

(a) Let j = 0, N(0) = 8.

(b) [D10,D20,D30,D40,D50,D60,D70,D80] = [128, 64, 16, 32, 8, 1, 4, 2].

(c) [W10,W20,W30,W40,W50,W60,W70,W80] = [1, -1, 1, 1, 1, 1, 1, 1].

(d) For n = 4, 6, set b4(k) = a4(k), b6(k) = a6(k).

Annex C (informative):
Change history

Change history

Date

TSG #

TSG Doc.

CR

Rev

Subject/Comment

Old

New

14/01/00

RAN_05

RP-99593

Approved at TSG RAN #5 and placed under Change Control

3.0.0

14/01/00

RAN_06

RP-99696

001

01

Primary and Secondary CCPCH in TDD

3.0.0

3.1.0

14/01/00

RAN_06

RP-99695

003

1

Alignment of Terminology Regarding Spreading for TDD Mode

3.0.0

3.1.0

14/01/00

RAN_06

RP-99696

004

Code allocation for Case 3

3.0.0

3.1.0

14/01/00

Change history was added by the editor

3.1.0

3.1.1

31/03/00

RAN_07

RP-000069

002

3

Cycling of cell parameters

3.1.1

3.2.0

31/03/00

RAN_07

RP-000069

005

Removal of Synchronisation Case 3 in TDD

3.1.1

3.2.0

31/03/00

RAN_07

RP-000069

006

1

Signal Point Constellation

3.1.1

3.2.0

03/05/00

Revision marks accepted to create clean version

3.2.0

3.2.1

26/06/00

RAN_08

RP-000273

008

Editorial Modifications for 25.223

3.2.1

3.3.0

26/06/00

RAN_08

RP-000273

009

Editorial modification of 25.223

3.2.1

3.3.0

26/06/00

RAN_08

RP-000273

010

Editorial modification of 25.223

3.2.1

3.3.0

26/06/00

RAN_08

RP-000273

011

2

Editorial modification of 25.223

3.2.1

3.3.0

26/06/00

RAN_08

RP-000273

012

2

Modified code sets on SCH for cell search in UTRA TDD

3.2.1

3.3.0

26/06/00

RAN_08

RP-000273

013

1

Editorial update of TS25.223

3.2.1

3.3.0

23/09/00

RAN_09

RP-000346

007

1

Gain Factors for TDD Mode

3.3.0

3.4.0

23/09/00

RAN_09

RP-000346

014

Synchronisation codes

3.3.0

3.4.0

16/03/01

RAN_11

Approved as Release 4 specification (v4.0.0) at TSG RAN #11

3.4.0

4.0.0

16/03/01

RAN_11

RP-010064

015

1

Code specific phase offsets for TDD

3.4.0

4.0..0

16/03/01

RAN_11

RP-010073

016

Cell synchronisation codes for R’4 Node B sync over air interface in UTRA TDD

3.4.0

4.0.0

16/03/01

RAN_11

RP-010071

017

1

Inclusion of 1.28Mcps TDD in TS 25.223

3.4.0

4.0.0

15/06/01

RAN_12

RP-010337

019

Addition to the abbreviation list and definition of a constant

4.0.0

4.1.0

21/09/01

RAN_13

RP-010524

021

1

Clarification of notations in TS25.221 and TS25.223

4.1.0

4.2.0

21/09/01

RAN_13

RP-010530

022

1

Clarification of notations in TS25.221 and TS25.223

4.1.0

4.2.0

14/12/01

RAN_14

RP-010748

023

A correction of Figure 7 in subclause 7.7.2 of TS 25.223

4.2.0

4.3.0

08/03/03

RAN_15

RP-020051

025

1

Removal of quantisation of bj gain factor when calculated from a reference TFC

4.3.0

4.4.0

08/03/03

RAN_15

RP-020051

028

Channelisation code-specific multiplier operation under autonomous SF change

4.3.0

4.4.0

08/03/03

RAN_15

RP-020051

030

Alignment of gamma(i) gains of 25.223 with SIR target of WG2 25.331

4.3.0

4.4.0

08/03/03

RAN_15

RP-020058

026

1

CR to include HSDPA in TS25.223

4.4.0

5.0.0

07/06/02

RAN_16

RP-020317

031

Correction of SPC for 16QAM in TDD

5.0.0

5.1.0

22/12/02

RAN_18

RP-020852

033

Editorial modification to the section numberings

5.1.0

5.2.0

25/03/03

RAN_19

RP-030140

034

3

Miscellaneous Corrections

5.2.0

5.3.0

13/01/04

RAN_22

Created for M.1457 update

5.3.0

6.0.0

12/12/05

RAN_30

RP-050728

0037

Correction to 16QAM modulation function

6.0.0

6.1.0

20/03/06

RAN_31

RP-060079

0038

Introduction of 7.68Mcps TDD option

6.1.0

7.0.0

12/06/06

RAN_32

RP-060295

0040

Correction of the values of weight factors

7.0.0

7.1.0

29/09/06

RAN_33

RP-060492

0041

Introduction of E-DCH for 3.84Mcps and 7.68Mcps TDD

7.1.0

7.2.0

13/03/07

RAN_35

RP-070118

0042

1

Introduction of E-DCH for 1.28Mcps TDD

7.2.0

7.3.0

30/05/07

RAN_36

RP-070385

0043

1

Support for MBSFN operation

7.3.0

7.4.0

30/05/07

RAN_36

RP-070386

0045

Support for 1.28Mcps TDD MBSFN operation

7.3.0

7.4.0

11/09/07

RAN_37

RP-070650

0046

1

Introduction of multi-frequency operation for 1.28Mcps TDD

7.4.0

7.5.0

27/11/07

RAN_38

RP-070943

0049

1

More improvement on dedicated carrier for 1.28Mcps TDD MBMS

7.5.0

7.6.0

04/03/08

RAN_39

Creation of Release 8 further to RAN_39 decision

7.6.0

8.0.0

28/05/08

RAN_40

RP-080356

0052

Introduction the 64QAM constellation for 1.28 Mcps TDD HSDPA

8.0.0

8.1.0

28/05/08

RAN_40

RP-080347

0054

Correction of uplink multicode capability for 1.28 Mcps TDD EUL

8.0.0

8.1.0

03/12/08

RAN_42

RP-081118

0056

1

Support for 3.84 Mcps MBSFN IMB operation

8.1.0

8.2.0

03/03/09

RAN_43

RP-090239

0057

TFCI for Secondary CCPCH frame type 2 with 16QAM

8.2.0

8.3.0

03/03/09

RAN_43

RP-090239

0058

Specification of scrambling codes and code groups for MBSFN IMB

8.2.0

8.3.0

26/05/09

RAN_44

RP-090531

0059

Minor correction for MBSFN IMB

8.3.0

8.4.0

01/12/09

RAN_46

Creation of Release 9 (v9.0.0) at RAN#46

8.4.0

9.0.0

07/12/10

RAN_50

RP-101317

0062

2

Introduction of MC-HSUPA for 1.28Mcps TDD

9.0.0

10.0.0

07/12/10

RAN_50

RP-101319

0063

1

Introduction of MU-MIMO for 1.28Mcps TDD

9.0.0

10.0.0

15/09/11

RAN_53

RP-111225

0066

2

Clarification of 64QAM for LCR TDD

10.0.0

10.1.0

2012-09

SP_57

Update to Rel-11 version (MCC)

10.1.0

11.0.0

2014-09

SP_65

Update to Rel-12 version (MCC)

11.0.0

12.0.0

2015-12

SP_70

Update to Rel-13 version (MCC)

12.0.0

13.0.0

Change history

Date

Meeting

TDoc

CR

Rev

Cat

Subject/Comment

New version

2017-03

RP-75

Promotion to Release 14 without technical change (MCC)

14.0.0

2018-06

RP-80

Promotion to Release 15 without technical change (MCC)

15.0.0

2020-07

RP-88e

Upgrade to Rel-16 version without technical change

16.0.0

2022-03

RP-95e

Upgrade to Rel-17 version without technical change

17.0.0