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Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs)

Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: [SFD Design for SUN FSK] Date Submitted: [February 2010] Source: [Tim Schmidl, Khanh Tuan Le, Trond Rognerud] Company [Texas Instruments] Address [12500 TI Blvd, Dallas, TX 75243 USA]

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Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs)

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  1. Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: [SFD Design for SUN FSK] Date Submitted: [February 2010] Source: [Tim Schmidl, Khanh Tuan Le, Trond Rognerud] Company [Texas Instruments] Address [12500 TI Blvd, Dallas, TX 75243 USA] Voice:[+1 214-480-4460], FAX: [+1 972-761-6966], E-Mail:[schmidl@ti.com] Abstract: [This presentation gives two SFD’s for SUN FSK] Purpose: [For information] Notice: This document has been prepared to assist the IEEE P802.15. 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 acknowledges and accepts that this contribution becomes the property of IEEE and may be made publicly available by P802.15. Tim Schmidl, Texas Instruments Inc.

  2. SFD Selection Criteria • The criteria for the selection of 2 SFD’s is given in 15-10-0051-01-004g-fsk-sub-group-resolution-update.pdf • Process to select the SFD values: • 1. Will be selected based on the following prioritized criteria: • a. Autocorrelation and cross correlation to the other pattern • b. Good image rejection (low correlation against the image) • c. Correlation relative to the preamble (low side lobes against the preamble) • 2. The following prioritized differentiators will be used to select SFD values if multiple solutions are found with identical performance. Supporting data for item 2a shall be provided by all proposals. • a. The selected code should have good orthogonality against the existing 802.15.4d SFD. (Co-existence with 802.15.4d is imperative). • 3. Timeline: • a. Harada-san: proposals provided within one month (no later than 2/22 midnight PST) and exchanged among subgroup participants. Proposals will be emailed to Harada-san and copied to all members of the SFD subgroup. Harada-san will send an email to all SFD participants. • b. There will be a conference call the week of 2/22 to review the proposals. Harada-san will schedule the conference call for 2/25 (we propose using the normal 4g call time) Tim Schmidl, Texas Instruments Inc.

  3. SFD Proposals • Three proposals for SFD pairs are given in 15-10-0112-01-004g-sfd-and-fec-proposal.pdf • PlanSFD Value for FECSFD value for Non-FEC • A 0xF68D 0x7BC9 • B 0x6F4E 0x904E • C 0x21F6 0xC9C2 • This document proposes Plan D which is given below • D 0x632D 0x7A0E Tim Schmidl, Texas Instruments Inc.

  4. Hamming Distance Properties and DC • Hamming distance is an equivalent measure to correlation. The Hamming distances for the four plans is given below. • While DC imbalance of the SFD’s is not a selection criterion, the preamble is designed to have 0 DC and smaller DC imbalances are generally preferable • PlanMin Hamming Dist 4g Min Hamming Dist 4d DC imb • A 5 6 4 • B 6 5 4 • C 5 5 2 • D 6 6 0 • Plan D has better correlation properties as well as having 0 DC imbalance • Notes: 1) Hamming distance of 5 is equivalent to a maximal correlation of 16 - (2*5) = 6. • 2) Hamming distance of 6 is equivalent to a maximal correlation of 16 - (2*6) = 4. • 3) DC imbalance is computed by finding the absolute value of the (sum of the zeros – sum of the ones). Since there are 2 SFD’s, the larger DC imbalance is listed Tim Schmidl, Texas Instruments Inc.

  5. Hamming Distances for All Plans • Hamming distances are listed in the following order. • Rows 1 to 5 give the Hamming distances of SFD1 with SFD1, SFD2, SFD4d, image(SFD1), image (SFD2) • Rows 6 to 10 give the Hamming distances of SFD1 with SFD1, SFD2, SFD4d, image(SFD1), image (SFD2) • The columns represent different shifts, with the rightmost column representing 0 shift. Tim Schmidl, Texas Instruments Inc.

  6. Hamming Distances Plan A • 8 7 9 6 8 8 8 9 10 7 8 8 9 6 8 8 0 • 8 8 8 7 9 6 9 6 10 9 7 9 6 9 10 8 6 • 8 8 8 8 8 8 8 8 8 7 9 6 9 7 9 11 7 • 8 9 7 10 8 8 8 7 6 9 8 8 7 10 8 8 16 • 8 8 8 9 7 10 7 10 6 7 9 7 10 7 6 8 10 • 8 7 9 8 8 10 8 7 10 5 6 10 5 6 6 6 6 • 8 8 8 7 9 8 9 8 8 9 7 7 8 7 8 8 0 • 8 8 8 8 8 8 8 8 8 7 9 8 9 9 7 9 7 • 8 9 7 8 8 6 8 9 6 11 10 6 11 10 10 10 10 • 8 8 8 9 7 8 7 8 8 7 9 9 8 9 8 8 16 Tim Schmidl, Texas Instruments Inc.

  7. Hamming Distances Plan B • 8 8 8 9 6 9 7 10 6 6 10 6 9 8 8 9 0 • 8 9 6 8 8 10 7 7 10 8 8 8 7 10 8 9 8 • 8 8 8 8 8 8 8 8 8 9 7 8 5 9 9 9 9 • 8 8 8 7 10 7 9 6 10 10 6 10 7 8 8 7 16 • 8 7 10 8 8 6 9 9 6 8 8 8 9 6 8 7 8 • 8 8 8 9 6 9 7 10 6 6 10 8 9 10 10 9 8 • 8 9 6 8 8 10 7 7 10 10 8 8 7 6 10 7 0 • 8 8 8 8 8 8 8 8 8 9 7 8 5 9 9 9 9 • 8 8 8 7 10 7 9 6 10 10 6 8 7 6 6 7 8 • 8 7 10 8 8 6 9 9 6 6 8 8 9 10 6 9 16 Tim Schmidl, Texas Instruments Inc.

  8. Hamming Distances Plan C • 8 8 7 10 7 7 10 8 10 9 9 8 10 6 8 7 0 • 8 9 7 7 8 9 6 6 10 7 9 9 10 8 7 8 7 • 8 8 8 8 8 8 8 8 8 9 7 8 7 7 9 5 7 • 8 8 9 6 9 9 6 8 6 7 7 8 6 10 8 9 16 • 8 7 9 9 8 7 10 10 6 9 7 7 6 8 9 8 9 • 9 7 8 9 6 8 7 7 9 6 8 7 11 11 9 8 7 • 9 8 8 8 9 10 7 7 7 6 10 8 9 9 10 7 0 • 9 7 9 7 9 7 9 7 9 8 8 9 8 10 10 6 8 • 7 9 8 7 10 8 9 9 7 10 8 9 5 5 7 8 9 • 7 8 8 8 7 6 9 9 9 10 6 8 7 7 6 9 16 Tim Schmidl, Texas Instruments Inc.

  9. Hamming Distances Plan D • 8 8 8 7 10 6 9 8 8 10 7 6 9 8 10 10 0 • 8 8 8 7 9 6 9 6 9 9 8 10 7 8 10 9 6 • 8 8 8 8 8 8 8 8 8 7 9 6 9 7 7 11 7 • 8 8 8 9 6 10 7 8 8 6 9 10 7 8 6 6 16 • 8 8 8 9 7 10 7 10 7 7 8 6 9 8 6 7 10 • 10 6 10 7 8 6 9 10 10 6 7 8 7 10 6 8 6 • 10 6 10 7 9 6 7 8 9 9 10 10 9 10 6 7 0 • 10 6 10 6 10 6 10 6 10 7 9 6 7 7 11 9 11 • 6 10 6 9 8 10 7 6 6 10 9 8 9 6 10 8 10 • 6 10 6 9 7 10 9 8 7 7 6 6 7 6 10 9 16 Tim Schmidl, Texas Instruments Inc.

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