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2012 IEEE Antennas and Propagation Society International Symposium (APSURSI) Copyright and Reprint Permission: Abstracting is permitted with credit to the source. Libraries are permitted to photocopy beyond the limit of U.S. copyright law for private use of patrons those articles in this volume that carry a code at the bottom of the first page, provided the per-copy fee indicated in the code is paid through the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923. For other copying, reprint, or replication permission, write to IEEE Copyrights Manager, IEEE Operations Center, 445 Hoes Lane, P.O. Box 1331, Piscataway, NJ, 08855-1331. All rights reserved. Copyright © 2012 by the Institute of Electrical and Electronics Engineers, Inc. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for sale or distribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. IEEE Catalog Number: CFP12APS-CDR ISBN: 978-1-4673-0460-3 ISSN: 1522-3965 July 8-14, 2012 Chicago, Illinois USA Support: If you have problems or questions related to the installation of this disc, please contact the 3WAIsmen at FAX: (818) 952-0183 or e-mail: [email protected]

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Page 1: 2012 IEEE Antennas and Propagation Society International ... · Chicago X 505 Antennas for Mobile Handsets 555 Antennas for mobile and wireless applications ... Thin-Wire Structures

2012 IEEE Antennas and Propagation Society International Symposium

(APSURSI)Copyright and Reprint Permission: Abstracting is permitted withcredit to the source. Libraries are permitted to photocopy beyond thelimit of U.S. copyright law for private use of patrons those articles inthis volume that carry a code at the bottom of the first page, providedthe per-copy fee indicated in the code is paid through the CopyrightClearance Center, 222 Rosewood Drive, Danvers, MA 01923. Forother copying, reprint, or replication permission, write to IEEECopyrights Manager, IEEE Operations Center, 445 Hoes Lane, P.O.Box 1331, Piscataway, NJ, 08855-1331. All rights reserved.Copyright © 2012 by the Institute of Electrical and ElectronicsEngineers, Inc. Personal use of this material is permitted. However,permission to reprint/republish this material for advertising orpromotional purposes or for creating new collective works for sale ordistribution to servers or lists, or to reuse any copyrighted componentof this work in other works must be obtained from the IEEE.

IEEE Catalog Number: CFP12APS-CDRISBN: 978-1-4673-0460-3ISSN: 1522-3965 July 8-14, 2012

Chicago, Illinois USASupport: If you have problems or questions related to theinstallation of this disc, please contact the 3WAIsmen atFAX: (818) 952-0183 or e-mail: [email protected]

Page 2: 2012 IEEE Antennas and Propagation Society International ... · Chicago X 505 Antennas for Mobile Handsets 555 Antennas for mobile and wireless applications ... Thin-Wire Structures

2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting

Technical Program (As of June 11, 2012)

Note: Interactive Forum (IF) posters will be on display from 10:00 am until 5:00 pm on the scheduled day. Authors of IF poster papers are expected to be present at their posters from 10:00 am until 12:00 noon on the assigned day.

Monday, July 9

Morning Afternoon

Chicago VI 101 Applications of Numerical Methods

151 Fast Solution, Model Reduction, and Domain Decomposition for Finite Element Analysis

Chicago VII

102 Millimeter-Wave Antennas

152 THz Sources, Systems, and Applications

Chicago VIII

153 Electrodynamics and Applications of Carbon Nanotube and Graphene Systems

Chicago IX 154 The Legacy of Harold A. Wheeler

Chicago X

103 Globalization of Engineering Education: Perspectives and Panel Discussion

155 Beamforming, Nulling, and Direction of Arrival Estimation

Huron 104 Magnetic Resonance Imaging

156 Biomedical Systems

Michigan A 105 Electronic Devices, Circuits, and Applications I

157 Microstrip antennas

Michigan B 106 Radar Systems, Target

Phenomenology and Processing

158 Modeling for Wireless Propagation Channels

166 Wireless Communications and Propagation Effects

Superior A 107 High Frequency Techniques

159 High Frequency and Asymptotic Methods

Superior B 108 Ionospheric Modeling and Propagation

160 Antenna Theory

Colorado 109 Adaptive and Wideband Arrays

161 Multiband Antennas 167 Microwave Lens Antennas

Missouri 110 Diagnostic and

Therapeutic Applications of Hyperthermia

162 Parallel and Special-Processor Based Numerical Methods

Parlor C 111 Vehicular Antennas 163 Antenna Measurements and Measurement Systems

Mississippi 112 Arrays for Cognitive Networking

164 Radio Communication Systems

Ohio 113 Electromagnetic Effects of Materials

165 Integral Equation Solvers for Large and Multi-Scale Problems

River Exhibition Hall B

IF11 Impedance Matching and Decoupling for MIMO Systems IF12 Fields and Waves in Metamaterials - Part I IF13 Fields and Waves in Metamaterials - Part II IF14 Metamaterials and Metastructures IF15 Small Antennas: Wideband, Multiband, High-Frequency and On-Body Applications IF16 Remote Sensing, Imaging, and Inverse Scattering

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Tuesday, July 10

Morning Afternoon

Chicago VIII

251 Antenna Feed Systems for Space and Terrestrial Applications

Chicago IX 252 Prof. Robert Kouyoumjian Memorial Session: Asymptotic HF and Hybrid Methods

Chicago X 201 Spiral and Sinuous Antennas

253 Antenna Arrays: Theory and Design

Huron 202 Dosimetry and EM

Exposure Assessment 254 Electromagnetic Imaging and Sensing Applications in Biology and Medicine

266 RF/Microwave Technology for Cancer Detection and Treatment

Michigan A 203 Electronic Devices, Circuits, and Applications II

255 Microstrip antennas and printed devices

Michigan B 204 Scattering and Diffraction 256 Random and Complex Media Effects

Superior A 205 Electromagnetic Environment and Interference

257 Dual-Polarized and Circularly Polarized Antennas

Superior B 206 Radar and Imaging Systems

258 UWB Antennas

Colorado 207 Electromagnetics Education

259 Optimization Methods in Electromagnetics

Missouri 208 Time-Domain Numerical Methods

260 Finite Difference Time Domain Techniques

Parlor C 209 Wireless On-Body and WLAN Antennas

261 Near-Field Techniques and Applications

Mississippi 210 Reflector antennas 262 Reflectarrays 267 Reflectarray systems and applications

Ohio 211 Antenna Testing 263 Advances in Integral Equation Methods

Ontario 212 Discontinuous Galerkin Finite Element Methods

264 Finite-Element Methods: Theory and Applications

Mayfair 213 Dielectric and Dielectric-Loaded Antennas

265 Wideband and Multiband Dielectric Resonator Antennas

River Exhibition Hall B

IF21 Metamaterial Surfaces and Cloaks IF22 Nanoscale Electromagnetics IF23 Antenna Applications of Metasurfaces IF24 Wireless Systems and RFID in Complex Environments IF25 Small Antennas: Low Frequency Applications IF26 Remote Sensing IF27 RFID - Systems

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Wednesday, July 11

Morning Afternoon

Chicago VI 301 Electromagnetic Bandgap Materials 1 351 Electromagnetic Bandgap Materials 2

Chicago VII

302 Design and Analysis of Dielectric Resonator Antennas 352 Non Foster Matching

Chicago VIII

303 Flexible 2D and 3D Printed Antennas 353 Theoretical, Algorithmic, and Technological Advances in Electromagnetic Inverse Scattering

Chicago IX 304 Future Trends in Radar 354 Terahertz Technology

Chicago X 305 Phased Array Antennas I 355 Phased Array Antennas II

Huron 306 Electromagnetic Imaging for Breast Cancer Detection 356 Antennas for Biomedical Applications

Michigan A 307 Microstrip Circuits I 357 Microstrip Circuits II

Michigan B 308 Scattering by Random or Complex Media 358 Scattering, Diffraction, and RCS

Superior A 309 Measurements of Antennas and Wireless Systems 359 Pattern Reconfigurable Antennas

Superior B 310 UWB Antennas in Communications 360 UWB Antenna Arrays

Colorado 311 Optimization Techniques 361 Electromagnetic Design Optimization

Missouri 312 Advances in FDTD Methods and Analysis 362 Advances in Non-Standard FDTD Methods

Parlor C 313 Antenna Feeds and Matching 363 Printed Dipole, Slot, and Planar Inverted-F Antennas

Mississippi 314 Experimental Performance Analysis of Urban and Terrestrial Wireless Systems

364 Reflectarray elements and synthesis

Ohio 315 Integral Equation Methods I 365 Integral Equation Methods II

River Exhibition Hall B

IF31 MIMO Channel Characterization and Performance Evaluation IF32 Metamaterial Antennas and Applications IF33 RFID- Novel structures IF34 Small Antennas: Design Concepts IF35 Leaky-Wave and Traveling-Wave Antennas IF36 Transformation Electromagnetics IF37 Transmission and Absorption in Metamaterials

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Thursday, July 12

Morning Afternoon

Chicago VI 401 Applications of Frequency Selective Surfaces 451 Analysis and Design of Frequency Selective Surfaces

Chicago VII

402 Absorbers and Scattering Control 452 Antennas with Novel Materials

Chicago VIII

403 AMTA Special Session - Advances in RF Measurement Technology

453 Challenging canonical scattering problems and new EM problems involving special materials

Chicago IX 404 Evaluation Techniques for Compact Multi Element Antennas for MIMO

454 Slotted and Guided Wave Antennas I

Chicago X 405 Phased Array Antennas III 455 Phased Array Antennas IV

Huron 406 Human Body Interaction with Antennas and Other Electromagnetic Devices

456 Advances in Numerical Methods

Michigan A 407 Microstrip Antenna Arrays 457 Microstrip and Slot Arrays

Michigan B 408 Inverse Scattering and Imaging: Methods and Algorithms 458 Inverse Scattering and Imaging: Technologies and Applications

Superior A 409 Reconfigurable Antennas 459 Frequency Configurable Antennas I

Superior B 410 Advances in UWB Antennas and Systems 460 Broadband/wideband antennas

Colorado 411 Multi-Frequency Antennas: Mobile Communications 461 Advances in Adaptive and Smart Antenna Systems

Missouri 412 Transients and Time-Domain Techniques 462 Time-domain techniques and analysis

Parlor C 413 Millimeter Wave Printed Antennas 463 Slot Antennas and Arrays

Mississippi 414 Propagation in Complex Environments 464 Communication Channel Management

Ohio 415 Fast Integral Equation Solvers and Stable Discretizations

Mayfair 465 Sensor Networks and Sensor Arrays

River Exhibition Hall B

IF41 Antennas for MIMO and Diversity Systems IF42 Chirality and Bianisotropy in Metamaterials IF43 Circuit-Based Metamaterials IF44 Plasmonics IF45 RFID antenna performance on materials IF46 Small Antennas: Designs and Applications IF47 Wireless Power Transfer

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Friday, July 13

Morning Afternoon

Chicago VI 501 Hybrid Methods and Method Comparisons 551 Fast Methods

Chicago VII

502 Electromagnetic Properties of Advanced Materials and Circuits

552 EM Metrology and Materials

Chicago VIII

503 Cognitive radio: improvements through the integration of electromagnetic and communications theory

553 Advances in Commercial Electromagnetic Simulation Tools

Chicago IX 504 Guided Waves and Wave-Guiding Structures 554 Slotted and Guided Wave Antennas II

Chicago X 505 Antennas for Mobile Handsets 555 Antennas for mobile and wireless applications

Huron 506 Numerical Techniques 556 Analysis and Application of Numerical Methods

Michigan A 507 Microstrip-Fed Arrays 557 Modeling in Urban and Terrestrial Communication Systems

Michigan B 508 Analytical and Numerical Techniques in Scattering and Imaging

558 Rough Surface Scattering Phenomenology

Superior A 509 Frequency Configurable Antennas II 559 Reconfigurable Arrays

Superior B 510 Wideband Antennas 560 Wideband Antennas and Arrays

Colorado 511 Multi-Frequency Antennas: Design and Analysis #1 561 Multi-Frequency Antennas: Design and Analysis #2

Missouri 512 Satellite Communication Antennas 562 Radar Imaging and Non-Intrusive Monitoring

Parlor C 513 Theoretical and Nonlinear Electromagnetics 563 Electromagnetic Theory

Mayfair 514 Analysis of Propagation and Radiation in Complex Media 564 Propagation effects

River Exhibition Hall B

IF51 MIMO Communication Strategies IF52 Volumetric Metamaterials IF53 Nano-electromagnetics IF54 Non-Antenna Applications of Metasurfaces IF55 RFID Reader Design IF56 Sensing the Environment IF57 Small mobile antennas

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1Politecnico di Torino, Italy; 2Universidad Nacional de Colombia, Colombia

10:40 411.7 A Miniaturized Circularly Polarized, Parasitic Array Antenna for Ground Station Communication with Cube Satellites C. Cato, S. Lim

11:00 411.8 Quad Band CPW-Planar IFA with Independent Frequency Control for Wireless Applications

, Georgia Southern University, United States

D. M. N. Elsheakh

11:20 411.9 Multi Band Microstrip Slot Antenna for Mobile Base Station

, A. M. M. Soliman, E. A. Abdallah, Electronics Research Institute, Egypt

M. S. El-gendy, H. H. Abdullah, E. A. F. Abdallah

11:40 411.10 A Penta-Band Two Elements Bow-Tie Patch Array Antenna

, Electronics Research institute, Egypt

S. M. Razavi zadeh

Thursday, July 12 8:20-12:00 Missouri

, IRIB University, Iran

Session 412 AP-S

Transients and Time-Domain Techniques

Session Chairs: Shanker Balasubramaniam, Tapan SARKAR

08:20 412.1 A Stable Higher Order TDIE Solver Using a Separable Approximation for Convolution with the Retarded Potential A. J. Pray

08:40 412.2 A Hybrid Method of Moment (MoM) and Physical Optics (PO) Technique in the Time Domain

, N. V. Nair, B. Shanker, Michigan State University, United States

Z. Mei1Syracuse University, United States; 2Xidian University, China; 3Universidad Carlos III de Madrid, Spain

1, Z. Yu2, T. K. Sarkar1, M. Salazar-Palma3

09:00 412.3 A Random-Plane-Wave Model for Short-Pulse-Excited Ray-Chaotic Enclosures G. Castaldi, V. Galdi

09:20 412.4 A Novel Time Delay Controlling UWB Array Based on Analytical Algorithm

, I. M. Pinto, University of Sannio, Italy

P. Li09:40 Break

, J. Pan, D. Yang, UESTC, China

10:20 412.5 A Comparative Study of Volumetric Vs. Subcell Modeling of Thin-Wire Structures in FVTD I. Jeffrey

10:40 412.6 Time Domain Integral Equation Solver for Composite Scatterers Using a Separable Expansion for Convolution with the Retarded Potential

, J. LoVetri, University of Manitoba, Canada; C. Fumeaux, University of Adelaide, Australia

A. J. Pray

11:00 412.7 Self-Consistent Modeling of Higher Pressure Microwave PACVD Reactors

, N. V. Nair, B. Shanker, Michigan State University, United States

C. S. Meierbachtol

11:20 412.8 Analysis of Two Methods of Poles Extraction for Antenna Characterization

, T. A. Grotjohn, B. Shanker, Michigan State University, United States

F. Sarrazin

11:40 412.9 Time-Domain Method of Moments Accelerated by Adaptive Cross Approximation Algorithm

, A. Sharaiha, Institute of Electronics and Telecommunications of Rennes (IETR), France; P. Pouliguen, P. Potier, J. Chauveau, Direction Générale de l'Armement (DGA), France

Y. Yan, Y. Zhang, X.-W. Zhao, Xidian University, China; Z. Mei

Thursday, July 12 8:20-12:00 Parlor C

, W. Zhao, T. K. Sarkar, Syracuse University, United States

Session 413 AP-S

Millimeter Wave Printed Antennas

Session Chairs: Duixian Liu, Mohammad Fakharzadeh

08:20 413.1 An Aperture-Coupled Patch Antenna in RFIC Package for 60 GHz Applications D. Liu

08:40 413.2 Antenna-in-Package Solution for Millimeter-Wave Applications: Slotted-Patch in a Multilayer PCB

, S. Reynolds, IBM, United States

A. Enayati1IMEC, Belgium; 2KU Leuven, Belgium

1,2, G. A. E. Vandenbosch2, W. D. Raedt1

09:00 413.3 HDI Organic Technology Integrating Built-in Antennas Dedicated to 60 GHz SiP Solution R. Pilard

1STMicroelectronics, France; 2LEAT-CREMANT, France; 3IM2NP, France; 4Orange Labs-CREMANT, France

1, D. Titz2, F. Gianesello1, P. Calascibetta1, J.-M. Riviere1, J. Lopez1, R. Coffy1, E. Saugier1, A. Poulain1, F. Ferrero2, C. Luxey3, P. Brachat4, G. Jacquemod3, D. Gloria1

09:20 413.4 Broad E-Plane Beamwidth Zeroth-Order Resonance Patch Antenna S.-T. Ko

09:40 413.5 A Compact Dual-Band Aperture-Coupled Microstrip Antenna for Ku-Band Applications

, J.-H. Lee, Hongik Unversity, South Korea

M. Sorouri10:00 Break

, P. Rezaei, Semnan University, Iran

10:20 413.6 A Compact 4 by 1 Patch Array Antenna-in- Package for 60 GHz Applications M. Fakharzadeh

10:40 413.7 Simultaneous Optimization of Aperture and Feed Line of a Microstrip Patch Antenna

, Peraso Technologies, Canada

F. Deek11:00 413.8 Numerical Comparison of Exact and Asymptotic Methods for

Sommerfeld Integral Evaluation with Applications to Microstrip Antennas

, C. Wan, Mentor Graphics, United States

D. Chatterjee

11:20 413.9 Wideband Shorted Higher-Order Mode Millimeter-Wave Patch Antenna

, University of Missouri Kansas City (UMKC), United States; S. M. Rao, M. S. Kluskens, Naval Research Laboratory, United States

D. Wang

11:40 413.10 A High Selectivity Band-Notched UWB Antenna with Controllable Notched Bandwidths

, H. Wong, K. B. Ng, C. H. Chan, City University of Hong Kong, China

G. Yang, Q.-X. Chu

Thursday, July 12 8:20-12:00 Mississippi

, School of Electronic and Information Engineering,South China University of Technology, China

Session 414 AP-S

Propagation in Complex Environments

Session Chairs: Benjamin Bush, DaHan Liao

08:20 414.1 Practical Modeling of Radio Wave Propagation in Shallow Seawater B. F. Bush

08:40 414.2 Evaluation of Ricean K-Factor of an Ultra-Wideband Channel in an Underground Mine

, K. Naishadham, V. K. Tripp, Georgia Institute of Technology, United States

B. Nkakanou

09:00 414.3 Characterization of the 60 GHz Channel in Underground Mining Environment

, Université Laval, Canada; N. Hakem, G. Y. Delisle, LRTCS-UQAT, Canada

C. Lounis09:20 414.4 Experimental Characterization of MIMO-UWB Multipath

Underground Mine Radio Channels

, N. Hakem, G. Y. Delisle, LRTCS-UQAT, Canada

I. Ben Mabrouk1Underground Communication Research Laboratory, Canada; 2UQO, Canada; 3Communications Research Centre Canada, Canada

1, L. Talbi2, M. Nedil1, K. Hettak3

09:40 414.5 Antenna Directivity Impact on MIMO System Performance. A. Salim, N. Kandil, M. Nedil, UQAT, Canada; I. Ben Mabrouk

10:00 Break

, L. Talbi, UQO, canada

10:20 414.6 Peer to Peer Propagation in Vegetation Media for Wireless Sensor Networks J. A. Gay-Fernández, I. Cuiñas

10:40 414.7 Radar Target Discrimination for Infrastructure-Based Navigation

, Universidade de Vigo, Spain

C. O. Hargrave, CSIRO, Australia; A. Abbosh, V. Clarkson, N. V. Shuley, The University of Queensland, Australia

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Peer to peer propagation in vegetation media for wireless sensor networks

José Antonio Gay-Fernández, Iñigo Cuiñas Dept. Teoría do Sinal e Comunicacións

Universidade de Vigo Vigo, Spain

[email protected]

Abstract—The extension of wireless communication systems and their application in rural environments, require radio propagation models adapted to this situations: presence of vegetation (both trees and shrubs), low transmitted powers, or peer to peer configurations. This work presents the results of a large radio propagation measurement campaign, conducted in different vegetation environment, with low antenna heights, and tuned to frequencies assigned to wireless networks: 2.4, 3.5 and 5.8 GHz bands.

I. INTRODUCTION After long time working on measuring and modeling radio

wave propagation at different urban media, many rural applications have moved the focus to environments with different characteristics, as the vegetation areas are. Once wireless technologies have been extended from business areas to urban residential places, the next challenge is the acquisition of the rural world, with services valid for such locations.

The first step in this rural extension was the deployment of cellular phone systems providing coverage around villages and at added value terrains (i.e. vineyards). The traditional master-slave based models proposed by ITU-R [1] were precise enough for their proposal: the link base station to mobile terminal across the forest canopies could be comparable to satellite/plane to earth links across vegetation.

However, many of the services directly defined for rural vegetation environments are based in peer to peer configurations: wireless sensor networks for agriculture purposes, radio location for extensive ranching [2] or for single elderly safety. These services would be the jump requested in rural areas to obtain the economic development they expect: they could support the jump from manual to technical activities within the same business sector. This jump must represent an improvement in the quality and competitiveness of the products: better wines or higher quality meat.

In such configuration, the radio link does not cross (or could not cross) the canopies of the trees: this link is cut by tree trunks and low level branches, or even by large shrubbery. Such a different scenario claims for new definitions of the radio channel. Thus, new data is required to adjust propagation models suitable for peer to peer radio links at wireless frequencies [3].

This contribution tries to show the results of large measurement campaigns in vegetation environments, both forest and meadows, looking for data to adjust peer to peer propagation models. Thus, the second section is devoted of the developed measurement activities, including the environments, the setup and the procedure. The third section contains the propagation model proposed after processing the measurement outcomes. And the fourth section contains the conclusions.

II. MEASUREMENTS Large measurement campaigns have been developed in

different vegetation environments. At each location, the same equipment and procedure were used.

The set of scenarios includes deciduous and evergreen forests, as well as scrubland and grassland surfaces. Concretely, four forest areas have been analyzed: pine tree, eucalyptus, and oak tree in both winter (no leaves) and summer (full of leaves). The selection of the environments was done in order to cover a good variety of situations.

The setup consisted of separate transmitter and receiver. The transmitter was mounted around a signal generator, powered by a petrol-engineered electric generator. The waves, at 2.4, 3.5 and 5.8 GHz, were transmitted by an omnidirectional bi-conical dipole antenna. The receiver end is based on a portable spectrum analyzer, which was fed by another omnidirectional antenna. A laptop connected to the analyzer recorded the data. Both antennas were placed at 1.6 m height.

At each environment, up to three radials were defined, centered in a reference tree, where the transmitter antenna was installed. Two different transmission configurations were used: open, when the transmitting antenna is placed in the side of the tree that has line of sight to the receiver radial, and shadowed, when the reference tree obstructs the line of sight to the radial. Measurements were caught along each radial, selecting successive tree at this line and supporting the receiving antenna near the trunks. The maximum distance between transmitter and receiver depended on the attenuation induced by the forest, and it was limited by the sensitivity of the analyzer. Up to 301 received power samples (3001 in the scrubland scenario) were recorded at each measurement point, in order to use the average value as representative of the channel behavior.

978-1-4673-0462-7/12/$31.00 ©2012 IEEE

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III. PEER TO PEER PROPAGATION MODEL After the measurement campaign, the amount of received

power samples recorded by the spectrum analyzer made impossible to use them for any purpose before processing. So, the collected data has been analyzed in order to provide equations that could constitute a peer to peer propagation model. Although formulas like used by ITU-R Recommendation 833 [1] had been tested, better approaches were obtained by fitting a linear law as enunciated:

P=P0-n·10·log10(d) (1)

where P0 is the received power, expressed in dBm, at 1 meter from the transmitter; P is received power, also in dBm, at a distance d from the transmitter; d is the distance between transmitter and receiver, in meters; and n is a factor that shows the rhythm at which the power decays with distance.

The rhythms of power decay, n, obtained by processing the measured data at woodlands are summarized in the tables I to III.

TABLE I. RHYTHMS OF POWER DECAY, PINE TREE FOREST.

freq (GHz)

Transmission configuration Open Shadowed

2.4 2.91 2.23

3.5 3.32 2.58

5.8 3.04 2.34

TABLE II. RHYTHMS OF POWER DECAY, EUCALIPTUS FOREST.

freq (GHz)

Transmission configuration Open Shadowed

2.4 2.49 2.01

3.5 2.81 1.82

5.8 2.81 2.00

TABLE III. RHYTHMS OF POWER DECAY, OAK TREE FOREST.

freq (GHz)

Environment conditions

Transmission configuration Open Shadowed

2.4

Summer (leaves) 3.06 2.41

Winter (no leaves) 2.40 2.72

3.5 Summer (leaves) 3.25 2.23

Winter (no leaves) 2.77 2.11

5.8 Summer (leaves) 3.64 2.30

Winter (no leaves) 3.08 2.10

It could be observed that the exponent n appears to be larger than the free space traditional reference (2) in most of the scenarios and situations.

When analyzing the meadows data, in many cases we found that it fitted better a double decay law, as presented in equations 2 and 3.

P=P01-n1·10·log10(d) d<dbreak (2)

P=P02-n2·10·log10(d) d>dbreak (3)

So, the power decay corresponding to such environments is modeled by two constants and a break distance (dbreak), at which the constant n changes. Tables IV and V contains the data model for meadows.

TABLE IV. RHYTHMS OF POWER DECAY, GRASSLAND.

freq (GHz) dbreak (m) n1 n2

2.4 85 2.04 3.61

3.5 - 1.90 -

5.8 - 1.98 -

TABLE V. RHYTHMS OF POWER DECAY, SCRUBLAND.

freq (GHz) dbreak (m) n1 n2

2.4 13 1.88 5.58

3.5 13 1.98 5.53

5.8 14 2.07 5.12

The values of n grow behind the break point, when the attenuation due to the vegetation appears to be more intense.

IV. CONCLUSIONS An extensive power measurement campaign has been

carried out along six different scenarios in order to obtain data enough to adjust the propagation models. The provided model could be interesting for planning wireless networks in rural vegetation areas, which are going to be one of the challenges for radio communications in next years.

ACKNOWLEDGEMENT This work has been supported by European Union (CIP-

PA), project “RFID from Farm to Fork”, grant 250444.

REFERENCES [1] International Telecommunication Union-Radio (ITU-R), “Attenuation in

Vegetation”. ITU-R Recommendation 833-6. [2] J.A. Gay-Fernández, I. Cuiñas, M.G. Sánchez, A.V. Alejos, “Radio

electric validation of an electronic cowbell based on ZigBee technology”, IEEE Antennas and Propagation Magazine, vol.53, no.4, pp.40-44, August 2011.

[3] H. Hashemi, “Propagation Channel Modeling for Ad hoc Networks”, EuWiT 2008, European Microwave Week, Amsterdam 2008.