1. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Project: IEEE P802.15 Working Group for Wireless Personal Area Networks (WPANs) Submission Title: Statistical Overview of a Set of Measurement Data Date Submitted: 12 September, 2002 Source: Marcus Pendergrass, Time Domain Corporation 7057 Old Madison Pike, Huntsville, AL 35806 Voice:256-428-6344 FAX: [256-922-0387], E-Mail: Marcus.Pendergrass@timedomain.com Re: Ultra-wideband Channel Models IEEE P802.15-02/208r0-SG3a, 17 April, 2002, Abstract:An overview of several statistical parameters extracted from a set of measurement data are presented. Purpose:The information provided in this document is for consideration in the selection of a UWB channel model to be used for evaluating the performance of a high rate UWB PHY for WPANs. 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. Slide 1

2. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Statistical Overview of a Set of Measurement Data 12 September 2002 Marcus Pendergrass marcus.pendergrass@timedomain.com References http://grouper.ieee.org/groups/802/15/pub/2002/Jul02/02240r1p802-15_SG3a-Empirically_Based_UWB_Channel_Model.ppt http://grouper.ieee.org/groups/802/15/pub/2002/Jul02/02294r0p802-15_SG3a-Empirically_Based_Statistical_Ultra-Wideband_Channel_Model.ppt Channel model submission, July 2002, Vancouver BC Channel model presentation, July 2002, Vancouver BC Slide 2

3. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Brief Recap Slide 3

4. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Statistics examined in this overview: CLEAN Ratio Sum CIR Dynamic Range Mean Excess Delay RMS Delay Number of Multipath Components Scenarios called out in this overview Case 1: 0 to 4 meters, line of sight (LOS), metalStud Case 2: 0 to 4 meters, non line of sight (NLOS), metalStud Case 3: 4 to 10 meters, non line of sight (NLOS), metalStud Statistics and Scenarios Go to View -> Notes Page to see the tabulated means and standard deviations of these statistics Slide 4

5. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CLEAN Ratio Sum Sum of the relative error and the energy capture ratio. When the CLEAN ratio sum is 1, the CLEAN algorithm is returning a least-squares approximation of the scanned waveform. s r s-r Original scan Error vector Linear space of all possible reconstructed scans CLEAN approximation to original scan (reconstructed scan) Energy Capture Ratio: Relative Error: Least Squares Condition: Slide 5

6. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CLEAN Ratio Sum vs. Energy Capture Ratio Slide 6

7. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CLEAN Ratio Sum vs. Energy Capture Ratio Slide 7

8. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CLEAN Ratio Sum vs. Energy Capture Ratio Slide 8

9. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CIR Dynamic Range m max = m min = max {|a i | : i = 1, 2, …, n} min {|a i | : |a i | > 0, i = 1, 2, …, n} Ratio of the maximum and minimum non-zero magnitudes of the CIR CIR Dynamic Range = 20 log 10 (m max /m min ) - m max m min a0a0 anan t 1 0 k n Slide 9

10. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CIR Dynamic Range vs. Energy Capture Ratio Slide 10

11. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CIR Dynamic Range vs. Energy Capture Ratio Slide 11

12. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 CIR Dynamic Range vs. Energy Capture Ratio Slide 12

13. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Mean Excess Delay t a0a0 anan Weighted first moment of the delays in the CIR. The weights are proportional to the squared magnitudes of the CIR amplitudes. a1a1 akak 1 0 k n mean excess delay weights Slide 13

14. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Mean Excess Delay vs. Energy Capture Ratio Slide 14

15. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Mean Excess Delay vs. Energy Capture Ratio Slide 15

16. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Mean Excess Delay vs. Energy Capture Ratio Slide 16

17. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 RMS Delay t a0a0 anan Weighted second central moment of the delays in the CIR. The weights are proportional to the squared magnitudes of the CIR amplitudes. a1a1 akak 1 0 k n mean excess delay RMS delay spread weights Slide 17

18. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 RMS Delay vs. Energy Capture Ratio Slide 18

19. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 RMS Delay vs. Energy Capture Ratio Slide 19

20. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 RMS Delay vs. Energy Capture Ratio Slide 20

21. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Number of Multipath Components The number of impulses in the CIR. t a0a0 anan Number of multipath components = n + 1 Slide 21

22. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Number of Multipath Components vs. Energy Capture Ratio Slide 22

23. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Number of Multipath Components vs. Energy Capture Ratio Slide 23

24. doc.: IEEE 802.15-02/402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Number of Multipath Components vs. Energy Capture Ratio Slide 24