itu-t study group 5 · 2 19.11.01 workshop on: “emc, safety and emf effects in telecommunications...

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International Telecommunication Union Workshop on: “EMC, safety and EMF effects in telecommunications” ITU-T Study Group 5 EMF Environmental EMF Environmental Characterization Characterization Jeffrey Boksiner Senior Consultant, Telcordia Technologies, Inc

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Page 1: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

International Telecommunication Union

Workshop on:“EMC, safety and EMF effects in telecommunications”

ITU-T Study Group 5

EMF Environmental EMF Environmental CharacterizationCharacterization

Jeffrey BoksinerSenior Consultant,

Telcordia Technologies, Inc

Page 2: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

219.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

EMF Environmental Characterization

o Introductiono Approach of Study Group 5o Recommendation K.52o Basic principleso Application exampleso Current and future effortso Additional slides

Page 3: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

319.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Introduction

o Exposure of human being to Electromagnetic Fields (EMF) raises concerns of possible health effects

o Radio transmitters used for telecommunication are proliferating

o ITU-T SG5 began to study a question on health effects of EMF in 1996

Page 4: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

419.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

SG5 Approach

o SG5 will provide guidance for compliance with EMF exposure limits

o SG5 will not develop new limitso Operators should determine

appropriate limits based on relevant national or international standards or national regulations

Page 5: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

519.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

SG5 Approach

o Study Period 1996-2000• Focus on the development of K.52

o Study Period 2000-2004• Radio-frequency environmental

characterization and health effects related to mobile equipment and radio systems

Page 6: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

619.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

EMF Exposure Standards

o International• ICNIRP, Guidelines for limiting

exposure to time-varying electric, magnetic and electromagnetic field (up to 300 GHz)• Adopted in many countries• Fundamental reference for K.52• Should be used unless a national

standard takes precedence

Page 7: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

719.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Exposure Fundamentals

o Two-tier exposure limits• Controlled/occupational exposure• General population/uncontrolled

exposure• Also called General Public exposure

o Formulas for multiple exposureso Formulas for short-term exposures

Page 8: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

819.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

ICNIRP Exposure Limits Power Density

1

10

100

10 100 1000 10000 100000Frequency (MHz)

Pow

er D

ensi

ty (

W/m

2)

Limit for general public exposureLimit for occupational exposure

Page 9: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

919.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Achieving Compliance

o Identify appropriate compliance limits

o Perform exposure assessment for intentional transmitters only

o If needed, perform by calculations or measurement

Page 10: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1019.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Achieving Compliance

o If the EMF exposure assessment indicates that pertinent exposure limits may be exceeded in areas where people may be present, mitigation/avoidance measures should be applied

Page 11: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1119.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Achieving Compliance

o Assessment should be performed as part of planning, licensing or commissioning• Use basic criteria of K.52 (Annex B)

and/or• Use software simulation tools

• Can use database of transmitter and antenna parameters and locations

Page 12: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1219.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.52 Exposure Classification

o Compliance zone• Potential exposure to EMF is below the

applicable limitso Occupational zone

• Potential exposure to EMF is below the limits for occupational exposure but exceeds the limits for general public exposure

o Exceedance zone• Potential exposure to EMF exceeds the

limits for both occupational and general public exposure

Page 13: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1319.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Mitigation Techniques

o Occupational zone• Restrict access to general public

• Physical barriers, lockout procedures or adequate signs can accomplish the access restriction

• Workers may be permitted to enter the area • Workers entering the occupational zone

should be informed

Page 14: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1419.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Mitigation Techniques

o Exceedance zone• Restrict access to workers and the

general public• If workers need to enter the area, take

steps to control their exposureo Temporarily reduce the power of the

emitter,o Controlling the duration of the exposure so

that time-averaged exposure is within safety limits,

o Use shielding or protective clothing

Page 15: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1519.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.52 Analytical Method

o K.52 Provides simple analytical method using far-field expressions• Valid in far field region• Conservative evaluation• Key parameters

• Power, antenna pattern, antenna height, antenna azimuth and elevation

• Note if antenna pattern is not known o Use regulatory envelopes, oro ITU-R Reference patterns

Page 16: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1619.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Exposure Evaluation Examples

o Frequency = 900 MHz• Limit for general public = 4.5 W/m2

o Power to antenna = 100 Wo Reflection coefficient = 1o Structures of the exceedance zones

Page 17: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1719.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Half-Wave Dipole

Page 18: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1819.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Point-Multipoint Reference Pattern

o Omnidirectional, Maximum gain = 10

Page 19: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

1919.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Multipoint Reference Pattern

o Same pattern, output power = 1000 W

Page 20: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2019.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Multipoint Reference Pattern

o Same pattern, output power = 100 Wo Elevation tilt = -5 deg

Page 21: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2119.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Multipoint Reference Pattern

o Same pattern, output power = 1000 Wo Elevation tilt = -5 deg

Page 22: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2219.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Example Results

o Exceedance zones near the antennas would require mitigation if accessible

o For general public the area of concern is often at ground level

Page 23: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2319.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Exposure Evaluation Examples

o Frequency = 2 GHz• Limit for general public = 10 W/m2

o Power to antenna = 0 dBWo Reflection coefficient = 1o Structures of the exceedance zones

Page 24: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2419.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

30-dB Reference Pattern for Fixed Service

Page 25: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2519.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Study Period 2001-2004Question 3: Work Program

Two new Recommendations1. K.mes for tlc installations

compliance to reference level: procedure, tools and instrumentation requirement

2. K.rt for radio terminals: compliance to basic limits, i.e. SAR

Page 26: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2619.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.mes:Measurement and numerical prediction of EMF for tlc installations compliance with

human exposure limits

o K.52: indications to perform an exposure assessment based on the evaluation of the electromagnetic field and on accessibility considerations

o K.mes defines tools, methods and procedures that can be used to achieve a reliable compliance assessment.

It is intended to provide:Ø Basic requirement for e.m. field measurement:

methods, instruments, proceduresØ Indications on numerical methods for exposure

prediction

Page 27: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2719.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.rt: Mobile Phone and SAR Limits

o The goal: a Recommendation which provides harmonized indications on

• Definition of a conformance test• SAR limits• Procedure• Calibration of E-field probe• Setup

Page 28: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2819.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Q. 3: The Work Until Now

o K.mes: measurement 75%o K.mes: calculation <10%

o K.rt: nothing

Page 29: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

2919.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Questions

Page 30: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3019.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Additional Material

Page 31: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3119.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

National EMF Exposure Standards

o USA• FCC, 96-326, Guidelines for

Evaluating the Environmental Effects of Radiofrequency Radiation

• ANSI/IEEE C95.1, Standard for Safety Levels with Respect to Human Exposure to Radio Frequency Electromagnetic Fields, 3 kHz to 300 GHz

Page 32: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3219.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Exposure Fundamentals

o The key quantity is the Specific Absorption Rate (SAR)• The time derivative of the incremental

energy (dW) absorbed by (dissipated in) an incremental mass (dm) contained in a volume element (dV) of a given mass density (ρm)

==

dVdW

dtd

dmdW

dtd

SARmρ

1

Page 33: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3319.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Exposure Fundamentals

o SAR is difficult to measure or predict• Used for non-inform exposure or where the

EMF is influenced by the presence of a body• Used for handset exposure

o Use levels for electric and magnetic field or power density derived from SAR limits

o K.52 and this presentation use power-density limits

Page 34: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3419.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

ICNIRP Exposure Limits Electric Field

10

100

1000

0.001 0.1 10 1000 100000Frequency (MHz)

Elec

tric

Fie

ld (

V/m

)

Limit for general public exposureLimit for occupational exposure

Page 35: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3519.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Simultaneous Exposure to Multiple Sources

o Multiple sources at different frequencies above 1 MHz

• Ei is the electric field strength at frequency i• El,i is the reference limit at frequency i• Si is the power density at frequency i• Sl,i is the reference limit at frequency i

1

OR1

,

2

,

i il

i

i il

i

SSEE

Page 36: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3619.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Analytical Methods

o K.52 Provides simple analytical method using far-field expressions• S(R,θ, φ) is the power density in W/m2

• f(θ, φ) is the relative field pattern of the antenna • EIRP is the EIRP of the antenna in W• ρ is the absolute value of the reflection coefficient • R is the distance to the putative exposed person

( ) ( )φθπ

ρφθ ,4

)1(,, 22 f

REIRP

RS +=

Page 37: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3719.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.52 Analytical Method

o Valid in far field region

o Conservative evaluation

o Key parameters• Power, antenna

pattern, antenna height, antenna azimuth and elevation

x

hR

θ

y

θ’

h

R’

α Direction of maximum radiation

Antenna

Imageantenna

Earth surface

O

Page 38: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3819.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Antenna Patterns

o Important for determination of exposure

o Use manufacturers datao If unknown,

• Use regulatory envelopes, or• ITU-R Reference patterns

Page 39: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

3919.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Antenna Patterns

o Basically two type• Cylindrically symmetrical

• Dish-type antennas

• Separable in spherical coordinates• Azimuthal pattern• Elevation pattern• Mobile or broadcast systems

Page 40: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

4019.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Half-wave Dipole

o Simple analytical example

o Omnidirectional azimuthal pattern

Page 41: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

4119.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Example Point to Multipoint

o Omnidirectional azimuthal pattern

o Reference pattern from the ITU Radio Regulationso Maximum gain =

10

Page 42: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

4219.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

Example Cylindrically-Symmetrical Pattern

o Reference pattern from the from ITU-R Recommendation F.699o Maximum gain =

30

Page 43: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

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ITU-TStudy Group 5

Ground-Level Calculation

22

2

)2()(

4)1(

−++

=hx

EIRPfS θ

πρ

x

hR

θ

2m

Page 44: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

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ITU-TStudy Group 5

Power Density at Ground Level

x (m)

S (W

/m2 )

10-dB Multipoint Reference Pattern, h = 3 m

with 5 deg tilt

without tilt

Page 45: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

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ITU-TStudy Group 5

Power Density at Ground Level

x (m)

S (W

/m2 )

10-dB Multipoint Reference Pattern, h = 20 m

with 5 deg tilt

without tilt

Page 46: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

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ITU-TStudy Group 5

K.mes: Contents

Measurement

1. Instruments basic requirement (e.g. calibration factors, isotropy, linearity…)

2. Uncertainties3. Procedures4. Compliance and

results analysis

Numerical predictions

1. Exceedance volume (see K.52) and punctual calculation

2. Propagation models (far field, near field…)

3. Ray-tracing techniques

Page 47: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

4719.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.mes — Measurement Instrument Requirement (1)

Characterization of:o Antenna factor (for frequency selective meas)

o Calibration Factor

As functions of frequency, amplitude…

[ ] [ ][ ]mV

mVE

mkmeasured

incidenta =1

[ ][ ]mVE

mVE

CFmeasured

incident=

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4819.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications”

ITU-TStudy Group 5

K.mes — Measurement Instrument Requirement (2)

o Amplitude linearityo Isotropic respondo Multiple sources integration:

o Respond to Pulsed modulated signals (insted of simple continous wave)

o …

∑=f

ftot EE 2

Page 49: ITU-T Study Group 5 · 2 19.11.01 Workshop on: “EMC, safety and EMF effects in telecommunications ” ITU-T Study Group 5 EMF Environmental Characterization o Introduction o Approach

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ITU-TStudy Group 5

K.mes-Numerical Predictions

o Applicability of numerical models• Free space far field• Free space near field• Ray tracing: line of sight, reflected and

diffracted contributes• Full wave methods (FDTD, MOM, FEM…)

o Topographic data baseo Realistic analysis for the maximum

radiated power