doc.: IEEE /0142r0 Submission Data rate on MD-TCM IEEE P Wireless RANs Date: Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 1 Authors: Notice: This document has been prepared to assist IEEE It is offered as a basis for discussion and is not binding on the contributing individual(s) or organization(s). The material in this document is subject to change in form and content after further study. The contributor(s) 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 Patent Policy and Procedures: The contributor is familiar with the IEEE 802 Patent Policy and Procedures including the statement "IEEE standards may include the known use of patent(s), including patent applications, provided the IEEE receives assurance from the patent holder or applicant with respect to patents essential for compliance with both mandatory and optional portions of the standard." Early disclosure to the Working Group of patent information that might be relevant to the standard is essential to reduce the possibility for delays in the development process and increase the likelihood that tpublication will be approved for publication. Please notify the Chairhttp://standards.ieee.org/guides/bylaws/sb-bylaws.pdf Apurva Mody as early as possible, in written or electronic form, if patented technology (or technology under patent application) might be incorporated into a draft standard being developed within the IEEE Working Group. If you have questions, contact the IEEE Patent Committee Administrator at

doc.: IEEE /0142r0 Submission Summary This contribution provides some additional explanation of multidimensional trellis coded modulation (MD-TCM) comparing with conventional FEC coding and modulation. Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 2

doc.: IEEE /0142r0 Submission Overview Conventional FEC coding and modulation provides integer number of bits per symbol (subcarrier) by using FEC coding and QAM with square signal constellation. Multidimensional trellis coded modulation (MD-TCM) provides fractional values of bits per symbol by using advanced encoding over multiple (2-D) symbols.  The number of signal points is not necessary to along 2 n -point constellation in conventional QAM. Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 3

doc.: IEEE /0142r0 Submission MD-TCM based on Wei construction [2] 4-D (2*2-D) symbols Data mapping/coding contains 1)Coset selection (2 * 2 bits) 2)Region pair selection (3 bits) 3)Symbol code (2*2bits or 2*4 bits) Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 4 Fig. 2-D constellation of 4D-TCM 192QAM A C D B I0I0 I1I1 O

doc.: IEEE /0142r0 Submission Structure of Data Mapping Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 5 1 st 2-D symbol 2 nd 2-D symbol

doc.: IEEE /0142r0 Submission Mapping Structure Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 6 A.Coset selection  2 information bits -> (2/3 convolutional encoder) -> 3 bits  Additional 1bit provides 4 coded bits in total  One of four subsets (coset) selected over 2 individual symbols  2bits x 2 symbols B.Region pair selection  3 regions per symbol: I 0, I 1, O -> 9 region pairs  3 information bits -> select 1 of region pair except O x O C.(2-D) Symbol selection  N signal points per region -> 4 subsets with N/4 points  log 2 (N/4) bits -> QAM mapping with N/4-points

doc.: IEEE /0142r0 Submission Example 4D-TCM 48 QAM  10 bits are conveyed by 11 encoded bits over 2x2-D symbols  Coding rate: 10/11 over 2x2-D symbols -> 5/5.5 per 2-D/symbol  48*48 points superconstellation over 4-D (2x2-D) symbols (2,304 points in total)  3 x 16-point subsets (regions): I 0, I 1, O  Region pair O x O is not used: 16x16 =256 points are not used  8 region pairs (16 x 16 points) are used  2,304 – 256 = 2,048 points => log2 (2048) = 11 encoded bits over 2 2-D symbols Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 7

doc.: IEEE /0142r0 Submission Updated Simulation Results ParametersSpecification Center frequency207 [MHz] Bandwidth6 [MHz] Data mapping64QAM, 256QAM, 4D-TCM48QAM, 4D-TCM192QAM Convolution code[ ] 8 DecodingSoft-decision Viterbi decoding ModulationOFDM FFT size 2048 (data ： 1440, pilot:240 ） Cyclic Prefix Modes1/8 Channel AWGN, IEEE Channel Model A ・ B Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 8 Table 1 Simulation Parameters

doc.: IEEE /0142r0 Submission Simulation Results (AWGN channel) Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 9

doc.: IEEE /0142r0 Submission Simulation Results (AWGN, vs. E b /N 0 ) (for reference) Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 10 BER E b /N 0 (dB)

doc.: IEEE /0142r0 Submission Simulation Results (IEEE CM A) Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 11

doc.: IEEE /0142r0 Submission Simulation Results (IEEE CM B) Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 12

doc.: IEEE /0142r0 Submission Conclusions This contribution provides some additional explanation on the mapping structure of MD-TCM using Wei construction MD-TCM allows fractional values of bits per symbol. Updated simulation results are also provided. Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 13

doc.: IEEE /0142r0 Submission References 1.IEEE Draft Std b D2.0, Oct L. F. Wei, “Trellis-coded modulation with multidimensional constellations,” IEEE Trans. Info. Theory, vol. 33, No. 4, pp , 1987 Nov S. Sasaki, and T. Uchida, Niigata Univ.Slide 14