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doc.: IEEE /402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Project: IEEE P 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 Voice: FAX: [ ], Re: Ultra-wideband Channel Models IEEE P /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 P 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 P Slide 1

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doc.: IEEE /402 SG3a Submission Marcus Pendergrass Time Domain Corporation (TDC) September 2002 Statistical Overview of a Set of Measurement Data 12 September 2002 Marcus Pendergrass References Channel model submission, July 2002, Vancouver BC Channel model presentation, July 2002, Vancouver BC Slide 2

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

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doc.: IEEE /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

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doc.: IEEE /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

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

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

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

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doc.: IEEE /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

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

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

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

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doc.: IEEE /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

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

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

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

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doc.: IEEE /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

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

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

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

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doc.: IEEE /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

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

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

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

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