QPSK Mapping Rule for Constellation Rearrangement IEEE 802.16 Presentation Submission Template (Rev. 9) Document Number: IEEE C802.16m-09/1000r1 Date Submitted: 2009-05-03 Source: Zheng Zhao, Lei Zhou, Xufeng Zheng Voice: +86-10-5925333 China Samsung Telecom R&D Center E-mail:zheng1.zhao@samsung.com, l.zhou@samsung.com xufeng.zheng@samsung.com Sung-Eun Park, Jerry Pi, Seung Hoon Choi E-mail: se.park@samsung.com Samsung Electronics z.pi@samsung.com  seunghoon.choi@samsung.com        Venue: IEEE 802.16m Session#61, Cairo, Egypt Re: Comments on AWD 15.3.12 (Channel coding HARQ-PHY) Purpose: To provide details on mapping rule for constellation rearrangement and text proposal for the amendment text Notice: This document does not represent the agreed views of the IEEE 802.16 Working Group or any of its subgroups. It represents only the views of the participants listed in the “Source(s)” field above. It is offered as a basis for discussion. It is not binding on the contributor(s), who reserve(s) the right to add, amend or withdraw material contained herein. Release: The contributor grants a free, irrevocable license to the IEEE to incorporate material contained in this contribution, and any modifications thereof, in the creation of an IEEE Standards publication; to copyright in the IEEE’s name any IEEE Standards publication even though it may include portions of this contribution; and at the IEEE’s sole discretion to permit others to reproduce in whole or in part the resulting IEEE Standards publication. The contributor also acknowledges and accepts that this contribution may be made public by IEEE 802.16. Patent Policy: The contributor is familiar with the IEEE-SA Patent Policy and Procedures: <http://standards.ieee.org/guides/bylaws/sect6-7.html#6> and <http://standards.ieee.org/guides/opman/sect6.html#6.3>. Further information is located at <http://standards.ieee.org/board/pat/pat-material.html> and <http://standards.ieee.org/board/pat >.

CoRe version design Design method for Constellation Rearrangement version CoRe related descriptions in current SDD text “ The CoRe can be expressed by a bit-level interleaver within a tone.” CoRe version should be designed with consideration of bit-level interleaver within a symbol and across symbols within a tone. Bit-level interleaving of inter-symbols within a tone: to exploit spatial diversity gain The starting position is determined as SPID function in unit of 2 QAM symbols

Proposed CoRe method for Rank 2 QPSK Detection method Time dependent channel STBC’s ML detection method Constructing the detection channel , where Detection b is the estimation for transmitted data Time independent channel Any detection method for MIMO spatial multiplexing system

Details of mapping rule for CoRe version Two CoRe versions Rank 2 Proposed mapping rule is enabled to deploy with low implementation complexity. Constellation Ncbps CRV Mapping Rule First symbol Second symbol QPSK 2 b0 b1 b2 b3 1 b1 b0

Performance evaluation [1] Simulation Parameters Parameters Assumption Channel estimation Perfect Channel code/HARQ CTC ½ / Chase Modulation QPSK MIMO configuration 2 x 2 SM Channel model Rayleigh MS mobility 0km/h Receiver type Linear MMSE Maximum number of retransmission 2

Performance evaluation [3] Chase HARQ

Conclusion Adopt the following text proposal including mapping rule with 2 CoRe versions into Section 15.x.2.2. (Constellation Rearrangement) of the Amendment text as in IEEE 802.16m-09/0010 -----------------------------Start text proposal-------------------------------- 15.x. Channel Encoding and HARQ 15.x.2. HARQ 15.x.2.2 Constellation re-arrangement Constellation-Rearrangement is supported in 802.16m. Co-Re is applied to QPSK, 16QAM and 64QAM. In one HARQ process, all transmissions/retransmissions use the same Co-Re scheme. 15.x.2.2.1 Co-Re Scheme Co-Re scheme describes how Co-Re version is distributed in one subpacket.

Table 15.x.2.2.2-2: Constellation re-arrangement version (rank ≥ 2) Conclusion 15.x.2.2.2 Mapping Rule for Constellation Re-arrangement Version Following table describes the operations that produces different Co-Re versions for QPSK,.   Table 15.x.2.2.2-2: Constellation re-arrangement version (rank ≥ 2) Constellation Ncbps CRV Mapping Rule First symbol Second symbol QPSK 2 b0 b1 b2 b3 1 b1 b0