Power Density Evaluation

FCC ID: PD911000D2

RF Exposure Info

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FCCID_2994909

TESTING CERT #3478.01 TEST REPORT EUT Description Wireless Gigabit radio installed in a Lenovo ThinkPad X1 Tablet Brand Intel® Wireless Gigabit 11000 Model Platform Lenovo TP00082A / Intel module 11000D2W Host Laptop: 1S48104W010020000064 Serial Number (see section 4) FCC/IC ID FCC ID: PD911000D2 Test SW: DRTU version 1.8.4-02270 Hardware/Software Version Driver ver.: 2.2.0.15 Date of Sample Receipt 2015-12-17 Date of start/end of Tests Start : 2015-12-18 End: 2016-01-15 Date of issue 2016-01-28 Module: WiGig Features Host: Lenovo TP00082A (see section 5) Applicant Intel Mobile Communications 100 Center Point Circle, Suite 200 Address Columbia, South Carolina 29210 USA Contact Person Steven Hackett Telephone/Fax/ Email steven.c.hackett@intel.com FCC CFR Title 47 Part 15.255 Reference Standards (see section 1) Test Report number 15121701.TR01 Revision Control Rev. 01 The test results relate only to the samples tested. The test report shall not be reproduced in full, without written approval of the laboratory. Issued by Reviewed by Digitally signed by Olivier FARGANT Digitally signed by Jose M. FORTES DN: cn=Olivier FARGANT, o=Intel DN: cn=Jose M. FORTES, o=Inter Mobile Mobile Communications, ou=WRF Lab, Communications, ou=WRF Lab, email=olivier.fargant@intel.com, c=FR email=jose.m.fortes.lopez@intel.com, c=FR Date: 2016.03.09 16:32:57 +01'00' Date: 2016.03.09 19:01:10 +01'00' Olivier FARGANT Jose M. FORTES (RF Test Lead) (Technical Manager) Intel Mobile Communications France S.A.S – WRF Lab 425 rue de Goa – Cargo B6 – 06600, Antibes, France Tel. +33493001400 / Fax +33493001401

Test Report N°15121701.TR01 Rev. 01 Table of Contents 1. Standards, reference documents and applicable test methods ............................................... 3 2. General conditions, competences and guarantees .................................................................... 3 3. Environmental Conditions............................................................................................................. 3 4. Test samples ................................................................................................................................... 4 5. EUT features ................................................................................................................................... 4 6. Remarks and comments ................................................................................................................ 4 7. Test Verdicts summary .................................................................................................................. 4 8. Document Revision History .......................................................................................................... 4 Annex A. Test & System Description ............................................................................................. 5 A.1 TEST CONDITIONS ........................................................................................................................................ 5 A.2 MEASUREMENT SYSTEM ................................................................................................................................ 5 A.3 TEST EQUIPMENT LIST ................................................................................................................................... 6 A.4 MEASUREMENT UNCERTAINTY EVALUATION...................................................................................................... 7 A.4.1 Aperture Probe Gain Characterization ............................................................................................ 7 A.4.2 EUT Measurement. .......................................................................................................................... 7 Annex B. Test Results ...................................................................................................................... 8 B.1 DUTY CYCLE ................................................................................................................................................ 8 B.2 EIRP & POWER DENSITY ............................................................................................................................. 13 Annex C. Aperture Probe Antenna Characterization .................................................................. 18 C.1 DESCRIPTION OF THE ANTENNA..................................................................................................................... 18 C.2 DERIVATION OF CHARACTERIZATION EQUATIONS .............................................................................................. 18 C.3 CHARACTERIZATION PROCEDURE ................................................................................................................... 19 C.4 CHARACTERIZATION RESULTS AND VALIDATION ................................................................................................ 20 C.4.1 Far-Field Distance .......................................................................................................................... 20 C.4.2 Probe Gain ..................................................................................................................................... 20 C.4.3 Validation ...................................................................................................................................... 21 Annex D. Photographs ................................................................................................................... 22 FO-014: Test Report 2 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 1. Standards, reference documents and applicable test methods 1. FCC 47 CFR part 2 – Subpart C – §15.255 Operation within the band 57-64 GHz. 2. General conditions, competences and guarantees  Intel Mobile Communications Wireless RF Lab (Intel WRF Lab) is a testing laboratory accredited by the American Association for Laboratory Accreditation (A2LA).  Intel Mobile Communications Wireless RF Lab (Intel WRF Lab) is an Accredited Test Firm listed by the FCC, with Designation Number FR0011.  Intel WRF Lab only provides testing services and is committed to providing reliable, unbiased test results and interpretations.  Intel WRF Lab is liable to the client for the maintenance of the confidentiality of all information related to the item under test and the results of the test.  Intel WRF Lab has developed calibration and proficiency programs for its measurement equipment to ensure correlated and reliable results to its customers.  This report is only referred to the item that has undergone the test.  This report does not imply an approval of the product by the Certification Bodies or competent Authorities.  Complete or partial reproduction of the report cannot be made without written permission of Intel WRF Lab. 3. Environmental Conditions  At the site where the measurements were performed the following limits were not exceeded during the tests: Temperature 24ºC ± 2ºC Humidity 54% ± 5% FO-014: Test Report 3 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 4. Test samples Date of Sample Control # Description Model Serial # reception 15121701.S03 Laptop Lenovo TP00082A 1S48104W010020000064 2015-12-17 #01 AC/DC 8SPA145027ULL1CZ5A50 15121701.S02 ADLX45ULCU2A 2015-12-17 Adapter 0CF 5. EUT features These are the detailed bands and modes supported by the equipment under Test: WiGig 60GHz (58.320 – 62.640 GHz) 6. Remarks and comments 1. This report documents the results of radiated measurements of the EIRP and the resulting power density of a radio device operating in the 60 GHz unlicensed band. 7. Test Verdicts summary N/A 8. Document Revision History Revision # Date Modified by Details Rev. 00 2016-01-28 W. El Hajj First Issue Rev. 01 2016-03-09 A. Dhouibi  Modifications to address FCC comments.  Editorial changes. FO-014: Test Report 4 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Annex A. Test & System Description A.1 Test Conditions The EUT is an Intel Wireless Gigabit radio model 11000D2W, FCC ID PD911000D2, installed in a Lenovo TP00082A. The antenna is an integral phased array antenna with a maximum gain of 15.3 dBi. The DUT was set to transmit at the highest power (3 dBm) conducted setting on MCS1 using proprietary software (Intel DRTU version 1.8.4.02270). The software enables the transmitter to operate at an actual maximum duty cycle of around 96% (please refer to duty cycle measurements details in Section B.1 which describes the combination of the duty cycle within burst and duty cycle over burst). The maximum EIRP measured and reported in the following table is normalized to 100% duty cycle: Maximum EIRP Channel (dBm) 1 16.47 2 17.34 3 14.37 A.2 Measurement system A Thorlabs Motorized Travel Stage controlled by software is used to maintain a consistent and accurate placement of the probe. A multi-axis Positioner is used for the Polarization / Elevation/ Azimuth scan. Absorber material covering up to 110GHz is placed around the support structures and alignment fixture to reduce reflections, scattering and perturbations. The Aperture Probe is aligned with the boresight of the EUT antenna. The probe is scanned over X / Y / Polarization / Elevation / Azimuth to maximize the emissions level. The EIRP of each channel is measured and recorded, then Pt*Gt, Power density and EIRP are calculated as described below. The measurement distance is varied from 4 to 20 cm in 1-cm steps and the power and results of subsequent calculations are recorded for each distance. The distance corresponds to the separation between the surface of the EUT and the aperture plane of the probe. Test Setup schematics (Also refer to the photos in Annex D) FO-014: Test Report 5 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Before rotating the DUT, the antenna array was aligned to the measurement probe using a laser beam in order to optimize the positioning and have the probe to point exactly towards the antenna array location. A.3 Test Equipment List Cal. Due ID# Device Type/Model Serial Number Manufacturer Cal. Date Date Power Sensor Rohde & 0014 NRP-Z57 00152266 2015-05-06 2017-05-06 (DC -67 GHz) Schwarz Rohde & 0015 Spectrum analyzer FSU67 100092 2015-07-31 2017-07-31 Schwarz Rohde & 0016 Signal Generator SMF100A 102117 2014-03-11 2016-03-11 Schwarz Standard Horn FH-SG-075- 0066 20012 RPG Calibration Not Required Antenna 25 Aperture Probe 0331 15EWG1.85 J215060133 A-Info Characterized Internally antenna MULTIPLIER 0063 ASSEMBLY 40- AFM-40-220 394 RPG Calibration Not Required 220GHz 0328 Laser line pointer GCL25 505000206 Bosch Calibration Not Required Note: In order to normalize the EIRP data to 100% duty cycle, the actual Duty cycle is measured (see details in Section B.1) using the FSU 67 spectrum analyzer and a standard horn antenna. The FSU67 covers the 20Hz to 67GHz frequency range, therefore the measurement is performed directly without the need of an external mixer. FO-014: Test Report 6 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 A.4 Measurement Uncertainty Evaluation The Total Measurement Uncertainty is of 1.48 dB. This value is obtained by calculating first the Aperture Probe Gain Measurement Uncertainty (see A.4.1) and then using this value with the other uncertainty sources to deduce the total Uncertainty (see A.4.2). A.4.1 Aperture Probe Gain Characterization 3 Antennas Gain Method / Probe Characterization Standard Value Probability Sensitivity Source of Uncertainty Divisor Uncertainty [dB] Distribution Coefficient [dB] Mismatch VSWR SG Block 1.1 - TR 1.5 0.08 U-shaped 1.414 1 0.06 Mismatch VSWR TR 1.5 - PM 1.35 0.26 U-shaped 1.414 1 0.18 Insertion Loss transition 0.40 rectangular 1.732 1 0.23 Mismatch VSWR 0.02 U-shaped 1.414 1 0.01 SG Block 1.1 - Antenna Block 1.1 Mismatch VSWR 0.14 U-shaped 1.414 1 0.10 Antenna Block 1.1 - TR 2 Mismatch VSWR TR 2 - PM 1.35 0.44 U-shaped 1.414 1 0.31 Position of the phase centre 0.13 rectangular 1.732 1 0.08 (Receiving Ant.) Linearity (included in Repeatability) 0.000 rectangular 1.732 1 0.00 Zero Offset 0.211 rectangular 1.732 1 0.12 Repeatability (Relative Power Meas.) 0.01 rectangular 1.732 1 0.01 Meas Noise 0.043 rectangular 1.732 1 0.02 Combined Standard Uncertainty 0.47 Expanded Uncertainty (k=2)* 0.93 A.4.2 EUT Measurement. Standard Value Probability Sensitivity Source of Uncertainty Divisor Uncertainty [dB] Distribution Coefficient [dB] Meas. Antenna Gain Rx Aperture 0.93 Normal k=2 2 1 0.47 Probe Mismatch VSWR Block Antenna 2 - 0.26 U-shaped 1.414 1 0.31 PM 1.35 Power Meter Accuracy 0.25 rectangular 1.732 1 0.14 Range Length (near/far field 0.00 rectangular 1.732 1 0.00 condition) Position of the phase center 0.13 rectangular 1.732 1 0.08 (Receiving Ant.) Ambient temperature impact 0.10 normal 1 1 0.10 Repeatability 0.50 normal 1 1 0.20 Zero Offset 0.144 rectangular 1.732 1 0.08 Meas Noise 0.019 rectangular 1.732 1 0.01 Combined Standard Uncertainty 0.74 Expanded Uncertainty (k=2)* 1.48 SG : Signal Generator TR : Transition PM : Power Meter * The expanded Measurement Uncertainty with coverage factor (k=2) corresponds to a confidence level of 95%. FO-014: Test Report 7 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Annex B. Test Results B.1 Duty Cycle Test procedure Duty cycle is calculated as [(ON Time)/Period]. The Duty cycle within the Burst is multiplied by the Duty cycle over the Burst Period to derive the Duty Cycle. The duty cycle of the EUT modulation is measured, and used to provide the duty cycle correction factor. Duty Cycle Correction Factor = 10*Log(Duty Cycle) Where: Duty Cycle Correction Factor is (dB) Duty Cycle is (Linear) The Duty cycle is measured using the FSU67 spectrum analyzer and a measurement antenna. The FSU67 covers the 20Hz to 67GHz frequency range. Therefore the measurement is performed directly without the need of an external mixer. Results tables Channel 1 ON Time Period Duty Cycle Description (ms) (ms) Linear Duty Cycle 1.991506 2.046635 0.97306 Within Burst Duty Cycle 990.384615 1006.41 0.98408 over Burst period Duty Cycle 0.95757 Duty Cycle Correction (dB) 0.1883 Channel 2 ON Time Period Duty Cycle Description (ms) (ms) Linear Duty Cycle 1.97724 2.046635 0.96609 Within Burst Duty Cycle 990.384615 1003.205 0.98722 over Burst period Duty Cycle 0.95375 Duty Cycle Correction (dB) 0.2057 FO-014: Test Report 8 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Channel 3 ON Time Period Duty Cycle Description (ms) (ms) Linear Duty Cycle 1.998397 2.046635 0.97643 Within Burst Duty Cycle 990.384615 1003.205 0.98722 over Burst period Duty Cycle 0.96395 Duty Cycle Correction (dB) 0.1594 FO-014: Test Report 9 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Results screenshots Duty Cycle Channel 1 FO-014: Test Report 10 of 22 Printed copies are not controlled documents

® Burst_DutyCycle RBW 10 MHz Marker 1 [T1 1 * VBW 10 MHz —56.13 dBm Ref —20 dBm *Att 5 dB SWT 2 s 714.743590 ms Delta 2 [T1 1 ~30 ~40 Delta 3 [T1 1 —50 1 RM * VIEW ~70 —80 ~90 ~100 ~110 Center 60.48 GHz 200 ms/ DutyCycleinBurst RBW 10 MHz Delta 3 [Tl ] * vBw 10 MHz 0.95 dB Ref —20 dBm *Att 5 dB SWT 4.3 ms 2.046635 ms ker 1 [T 1 ~30 ~40 —50 rwd ~70 —80 ~90 ~100 ~110 Center 60.48 GHz 430 ns/ Date: 4.JAN.2016 12:22:46

Test Report N°15121701.TR01 Rev. 01 Channel 3 FO-014: Test Report 12 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 B.2 EIRP & Power Density Test procedure The radiated emission level is measured with the aperture probe antenna connected to a power sensor. Using the far-field Friis equation: 𝑃𝑅 𝜆 2 = 𝐺𝑇 𝐺𝑅 ( ) 𝑃𝑇 4𝜋𝐷 the measured power PR is converted to PT*GT using the same equation in logarithmic domain: (PT*GT)= PR – GR + Free Space Attenuation (dB) Where the: 4𝜋𝐷 Free space Attenuation (dB) = 20𝐿𝑜𝑔( ) 𝜆 and: (PT*GT) is (dBm) (P is the transmitted power and GT the emission antenna Gain) T D is in (m) PR is in (dBm) GR is the small aperture probe antenna Gain in (dBi) λ is the wavelength in (m) PT*GT is converted to power density using: 𝑃𝑇 𝐺𝑇 𝑃𝑜𝑤𝑒𝑟 𝐷𝑒𝑛𝑠𝑖𝑡𝑦 = 4𝜋𝐷2 Where: 2 Power Density is in (mW/cm ) PT*GT is in (mW) D is in (cm) PT*GT is also converted to EIRP during the ON time of the burst using: EIRP = (PT*GT) + Duty Cycle Correction Factor Where: EIRP is in (dBm) PT*GT is in (dBm) Duty Cycle Correction Factor is in (dB) FO-014: Test Report 13 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Results tables Channel 1 EUT antenna gain = 15.30dBi Small Meas Duty Meas. Aperture Free Space Avg Power Freq PT*GT PT*GT Cycle EIRP Distance Probe Attenuation Power Density (GHz) (dBm) (mW) 2 Correction (dBm) (cm) Gain GR (dB) PR (mW/cm ) (dB) (dBi) (dBm) 58.32 4 5.37 39.80 -22.78 11.65 14.62 0.07271 0.1883 11.84 58.32 5 5.37 41.74 -22.00 14.37 27.34 0.08702 0.1883 14.56 58.32 6 5.37 43.32 -22.72 15.23 33.35 0.07372 0.1883 15.42 58.32 7 5.37 44.66 -23.27 16.02 40.00 0.06495 0.1883 16.21 58.32 8 5.37 45.82 -24.40 16.05 40.27 0.05007 0.1883 16.24 58.32 9 5.37 46.84 -25.20 16.27 42.39 0.04165 0.1883 16.46 58.32 10 5.37 47.76 -26.11 16.28 42.44 0.03378 0.1883 16.47 58.32 11 5.37 48.59 -27.00 16.22 41.84 0.02752 0.1883 16.40 58.32 12 5.37 49.34 -27.84 16.13 41.04 0.02268 0.1883 16.32 58.32 13 5.37 50.04 -28.54 16.13 40.99 0.01930 0.1883 16.32 58.32 14 5.37 50.68 -29.24 16.07 40.46 0.01643 0.1883 16.26 58.32 15 5.37 51.28 -30.04 15.87 38.64 0.01366 0.1883 16.06 58.32 16 5.37 51.84 -30.48 15.99 39.72 0.01235 0.1883 16.18 58.32 17 5.37 52.37 -31.11 15.89 38.79 0.01068 0.1883 16.08 58.32 18 5.37 52.86 -31.88 15.61 36.42 0.00895 0.1883 15.80 58.32 19 5.37 53.33 -32.05 15.91 39.02 0.00860 0.1883 16.10 58.32 20 5.37 53.78 -32.59 15.82 38.18 0.00760 0.1883 16.01 Note: For distances lower than 6-7 cm (in transition to near field) the numbers measured are expected to be invalid due to the potential coupling with the measuring device or other near objects. FO-014: Test Report 14 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Channel 2 EUT antenna gain = 15.20dBi Small Meas Duty Meas. Aperture Free Space Avg Power Freq PT*GT PT*GT Cycle EIRP Distance Probe Attenuation Power Density (GHz) (dBm) (mW) 2 Correction (dBm) (cm) Gain GR (dB) PR (mW/cm ) (dB) (dBi) (dBm) 60.48 4 5.86 40.12 -22.96 11.30 13.47 0.06702 0.2057 11.50 60.48 5 5.86 42.05 -23.09 13.10 20.43 0.06504 0.2057 13.31 60.48 6 5.86 43.64 -23.16 14.62 28.95 0.06400 0.2057 14.82 60.48 7 5.86 44.98 -23.48 15.64 36.61 0.05946 0.2057 15.84 60.48 8 5.86 46.14 -24.4 15.88 38.69 0.04811 0.2057 16.08 60.48 9 5.86 47.16 -25.55 15.75 37.57 0.03691 0.2057 15.95 60.48 10 5.86 48.07 -25.7 16.51 44.81 0.03566 0.2057 16.72 60.48 11 5.86 48.90 -26.34 16.70 46.79 0.03077 0.2057 16.91 60.48 12 5.86 49.66 -27.11 16.69 46.64 0.02577 0.2057 16.89 60.48 13 5.86 50.35 -27.58 16.91 49.12 0.02313 0.2057 17.12 60.48 14 5.86 51.00 -28.26 16.88 48.71 0.01978 0.2057 17.08 60.48 15 5.86 51.60 -28.74 17.00 50.07 0.01771 0.2057 17.20 60.48 16 5.86 52.16 -29.37 16.93 49.28 0.01532 0.2057 17.13 60.48 17 5.86 52.68 -29.88 16.94 49.47 0.01362 0.2057 17.15 60.48 18 5.86 53.18 -30.19 17.13 51.64 0.01268 0.2057 17.34 60.48 19 5.86 53.65 -30.74 17.05 50.69 0.01117 0.2057 17.25 60.48 20 5.86 54.09 -31.27 16.96 49.71 0.00989 0.2057 17.17 Note: For distances lower than 6-7 cm (in transition to near field) the numbers measured are expected to be invalid due to the potential coupling with the measuring device or other near objects. FO-014: Test Report 15 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Channel 3 EUT antenna gain = 14.80dBi Small Meas Duty Meas. Aperture Free Space Avg Power Freq PT*GT PT*GT Cycle EIRP Distance Probe Attenuation Power Density (GHz) (dBm) (mW) 2 Correction (dBm) (cm) Gain GR (dB) PR (mW/cm ) (dB) (dBi) (dBm) 62.64 4 7.56 40.42 -22.00 10.86 12.19 0.06063 0.1954 11.06 62.64 5 7.56 42.36 -23.40 11.40 13.80 0.04392 0.1954 11.59 62.64 6 7.56 43.94 -24.16 12.22 16.68 0.03687 0.1954 12.42 62.64 7 7.56 45.28 -25.01 12.71 18.67 0.03032 0.1954 12.91 62.64 8 7.56 46.44 -25.88 13.00 19.96 0.02481 0.1954 13.20 62.64 9 7.56 47.46 -26.67 13.23 21.06 0.02069 0.1954 13.43 62.64 10 7.56 48.38 -27.48 13.34 21.57 0.01717 0.1954 13.53 62.64 11 7.56 49.21 -28.00 13.65 23.16 0.01523 0.1954 13.84 62.64 12 7.56 49.96 -28.54 13.86 24.34 0.01345 0.1954 14.06 62.64 13 7.56 50.66 -29.19 13.91 24.59 0.01158 0.1954 14.10 62.64 14 7.56 51.30 -29.69 14.05 25.42 0.01032 0.1954 14.25 62.64 15 7.56 51.90 -30.21 14.13 25.89 0.00916 0.1954 14.33 62.64 16 7.56 52.46 -30.73 14.17 26.13 0.00812 0.1954 14.37 62.64 17 7.56 52.99 -31.32 14.11 25.75 0.00709 0.1954 14.30 62.64 18 7.56 53.48 -31.75 14.17 26.15 0.00642 0.1954 14.37 62.64 19 7.56 53.95 -32.24 14.15 26.02 0.00574 0.1954 14.35 62.64 20 7.56 54.40 -32.66 14.18 26.18 0.00521 0.1954 14.37 Note: For distances lower than 6-7 cm (in transition to near field) the numbers measured are expected to be invalid due to the potential coupling with the measuring device or other near objects. FO-014: Test Report 16 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Results graph Power Density 0.140 Measured Power Density 0.120 (mW/cm^2) - Ch1 0.100 Measured Power Density (mW/cm^2) - Ch2 0.080 0.060 Measured Power Density (mW/cm^2) -Ch3 0.040 0.020 0.000 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Measurement Distance (cm) Power Density measured during the tests (i.e. with the ~ 96 % duty cycle measured in B.1) EIRP 17.00 15.00 13.00 11.00 EIRP (dBm) EIRP (dBm) EIRP (dBm) Ch1 Ch2 Ch3 9.00 7.00 5.00 3.00 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Measurement Distance (cm) EIRP normalized for 100% duty cycle (after adding the Duty cycle correction factor measured in B.1) FO-014: Test Report 17 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Annex C. Aperture Probe Antenna Characterization C.1 Description of the Antenna The measuring antenna is an open-ended waveguide as specified in IEEE Std C95.3-2002 Clause 5.5.1.1.3 Small apertures. The aperture probe antenna consists of a 19 cm straight section of WR15 rectangular waveguide with a standard UG-385/U flange at one end. The aperture dimensions are 2 1.88 x 3.76 mm . C.2 Derivation of characterization equations Indeed, the ratio between the received power and the transmitted power between a pair of antennas is expressed in terms of their gains as follow: 𝑃𝑅 4𝜋𝐷 2 𝐺𝑇 𝐺𝑅 = ( ) 𝑃𝑇 𝜆 Converting from linear to logarithmic domain yields: 4𝜋𝐷 𝐺𝑇 + 𝐺𝑅 = 𝑃𝑅 − 𝑃𝑇 + 20𝐿𝑜𝑔 ( ) 𝜆 Converting from wavelength in meters to frequency in GHz yields: 𝐺𝑇 + 𝐺𝑅 = 𝑃𝑅 − 𝑃𝑇 + 20𝐿𝑜𝑔(𝐷) + 20𝐿𝑜𝑔(𝑓) + 32.44 (1) Where: GT is the gain of the transmit antenna (dBi) GR is the gain of the receive antenna (dBi) PR is the power received (dBm) PT is the power transmitted (dBm) D is the distance between the antennas (m) f is the frequency (GHz) The individual far-field gain of each of three different antennas can be determined from three path loss measurements made under identical far-field conditions using the three different antennas taken in pairs. Three path loss measurements (PR12 - PT), (PR13 - PT) and (PR23 - PT) are sufficient to simultaneously solve for three unknowns G1, G2 and G3. The Equation (1) is applied to each of the three path loss measurement as follows applied 𝐴 = 𝐺1 + 𝐺2 = 𝑃𝑅12 − 𝑃𝑇 + 20𝐿𝑜𝑔(𝐷) + 20𝐿𝑜𝑔(𝑓) + 32.44 (2) 𝐵 = 𝐺1 + 𝐺3 = 𝑃𝑅13 − 𝑃𝑇 + 20𝐿𝑜𝑔(𝐷) + 20𝐿𝑜𝑔(𝑓) + 32.44 (3) 𝐶 = 𝐺2 + 𝐺3 = 𝑃𝑅23 − 𝑃𝑇 + 20𝐿𝑜𝑔(𝐷) + 20𝐿𝑜𝑔(𝑓) + 32.44 (4) FO-014: Test Report 18 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Where: A= (G1 + G2) is the sum of the gains of Antennas 1 and 2 B= (G1 + G3) is the sum of the gains of Antennas 1 and 3 C= (G2 + G3) is the sum of the gains of Antennas 2 and 3 PR12 is the power received when measuring Antennas 1 and 2 (dBm) PR13 is the power received when measuring Antennas 1 and 3 (dBm) PR23 is the power received when measuring Antennas 2 and 3 (dBm) PT is the transmitted power (dBm) D is the distance between the antennas (m) f is the frequency (GHz) The gain of each individual antenna is calculated as follows: 𝐺1 = 0.5 (𝐴 + 𝐵 − 𝐶) (5) 𝐺2 = 0.5 (𝐴 + 𝐶 − 𝐵) (6) 𝐺3 = 0.5 (𝐵 + 𝐶 − 𝐴) (7) Where: G1 is the gain of Antenna 1 (dBi) G2 is the gain of Antenna 2 (dBi) G3 is the gain of Antenna 3 (dBi) A is the result of applying Equation (2) B is the result of applying Equation (3) C is the result of applying Equation (4) C.3 Characterization Procedure 1. Allow the signal source, power sensor and power meter to warm up as specified by the manufacturer of the instruments. 2. Adjust the instruments to the applicable frequency. Connect the power sensor to the output of the source. Measure and record Power Transmitted. 3. Connect the first pair of antennas to their respective source (Tx antenna) and power sensor (Rx antenna). Place the antennas at the selected far-field separation distance in a bore-sight configuration using a laser level to align the antennas. Measure and record Power Received. 4. Repeat step 3 for each pair of antennas. 5. Calculate the antenna gains by applying Equations (2) through (7). FO-014: Test Report 19 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 C.4 Characterization Results and Validation C.4.1 Far-Field Distance The gain reduction (relative to the far-field gain G∞) of an antenna is estimated as a function of normalized distance. The normalized distance is given in terms of n=dλ/a2 where d is distance, λ is wavelength and a is the largest aperture dimension. The far-field gain holds for distances greater than about (8a2)/λ (n > 8). Note that for the verification we use three aperture antennas, the far field distance is therefore calculated using the largest aperture dimension among the three antennas (in our case it is the antenna 1) and a= 5mm. The minimum far field distance is calculated for each channel as follow: Frequency Wavelength Largest aperture 2 Minimum distance Ratio (a /λ) (GHz) λ (m) dimension a (m) d (cm) 58.32 0.005144033 0.005 0.00486 3.888 60.48 0.004960317 0.005 0.00504 4.032 62.64 0.004789272 0.005 0.00522 4.176 We decide therefore to do the characterization at 15 cm. C.4.2 Probe Gain The probe under verification is noted Antenna 3 with Gain G3. The antennas 1 and 2 are used to perform the characterization. The verification procedure (see § 12.3) is applied as follow: st 1 Path Loss measurement  In Tx : Antenna 1 / In Rx : Antenna 2 PT PR12 Channel D (m) f (GHz) G1+G2 (dBi) (dBm) (dBm) 1 5.01 -30.53 0.15 58.32 15.74 2 7.34 -29.41 0.15 60.48 14.84 3 7.04 -28.28 0.15 62.64 16.58 nd 2 Path Loss measurement  In Tx : Antenna 2 / In Rx : Antenna 3 PT PR23 Channel D (m) f (GHz) G2+G3 (dBi) (dBm) (dBm) 1 5.01 -35.30 0.15 58.32 10.97 2 7.34 -32.93 0.15 60.48 11.32 3 7.04 -30.66 0.15 62.64 14.20 rd 3 Path Loss measurement  In Tx : Antenna 1 / In Rx : Antenna 3 PT PR13 Channel D (m) f (GHz) G1+G3 (dBi) (dBm) (dBm) 1 5.01 -30.76 0.15 58.32 15.51 2 7.34 -29.01 0.15 60.48 15.24 3 7.04 -27.35 0.15 62.64 17.51 FO-014: Test Report 20 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 The measured gains are deduced and showed as follows: Channel 1 Channel 2 Channel 3 Antenna Gain (dBi) Gain (dBi) Gain (dBi) Aperture Antenna 1 10.14 9.38 9.94 Aperture Antenna 2 5.60 5.46 6.63 Open Ended Waveguide Probe Antenna 5.37 5.86 7.56 C.4.3 Validation The measured gain of the original probe antenna is compared to the realized gain from a theoretical model of common open-ended waveguide apertures with a two-to-one aspect ratio, i.e. a/b=2, provided by IEEE Std C95.3 Clause 5.5.1.1.3 equation (4) Delta to Measured Frequency Dimension a Theoretical Gain (dBi) Theoretical Gain Channel (GHz) (m) 10 log(21.6 ∙ 𝑓[𝐺𝐻𝑧] ∙ 𝑎) Gain (dBi) (dB) 1 58.32 0.00376 6.75 5.37 1.38 2 60.48 0.00376 6.91 5.86 1.05 3 62.64 0.00376 7.06 7.56 0.50 FO-014: Test Report 21 of 22 Printed copies are not controlled documents

Test Report N°15121701.TR01 Rev. 01 Annex D. Photographs Test Setup FO-014: Test Report 22 of 22 Printed copies are not controlled documents


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Document Modified: 2016-03-09 19:01:10
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