SVM-based Classification Approach for Synthetic-Impulse Microwave Imaging - Data Format

(1)

UNIVERSITY

OF TRENTO

DIPARTIMENTO DI INGEGNERIA E SCIENZA DELL’INFORMAZIONE

38050 Povo – Trento (Italy), Via Sommarive 14

http://www.disi.unitn.it

SVM-

BASED

C

LASSIFICATION

A

PPROACH FOR

S

YNTHETIC

-I

MPULSE

M

ICROWAVE

I

MAGING

–

DATA FORMAT

F. Viani, M. Benedetti, M. Donelli, L. Lizzi, A. Cresp, I. Aliferis,

C. Pichot, and A. Massa

August 2008

(2)

(3)

InformationandCommuni ation Te hnology Dept. Universityof Trento

ViaSommarive14,38050Trento,ITALY Phone+390461882057Fax +390461882093

E-mail: andrea.massaing.unitn.it

Contra t No. DIT-PRJ-08-005

Te hni al Report N. 2

SVM-based Classi ation Approa h for Syntheti -Impulse Mi rowave Imaging

Data Format F.Viani

(1)

,M.Benedetti

(1)

,M.Donelli

(1)

,L.Lizzi

(1)

, A.Cresp

(2)

,I.Aliferis

(2)

,C.Pi hot

(2)

, andA.Massa

(1)

DepartmentofInformationEngineering andComputerS ien e ELEDIAResear hGroup

UniversityofTrento,ViaSommarive14,38050Trento-Italy Tel.+39 0461882057,Fax. +390461882093

E-mail: andrea.massaing.unitn.it

(2)

Laboratoired'Ele tronique,AntennesetTélé ommuni ations(LEAT) UniversitédeNi e-SophiaAntipolis

250rueAlbertEinstein,06560Valbonne

Tél: +33(0)492942802,Fax: +33(0)492942812

(4)

1. Introdu tion 3

2. A quired Data Format 3

(5)

The design of an ultra-wideband (UWB) surfa e penetrating radar requires a good understanding of the

medium properties and of the ele tromagneti propagation in ground-penetratingappli ations, whi h an

be transposed in the knowledge of the environment ontribution added up to the transmitted signal. In

ordertoremovethe ontributionoftheenvironment,thedata olle tedwiththeSIMISradararedierential

measurements [1℄. The overall on ept of this te hnique is to determine areferen e measurement, of the

environmentonly,that anberemovedbysubtra tiontoenhan etheintera tionsoftheobje tsand al ulate

thes atteredeld omingfromthetargetsonly. Themeasurement anbeperformedeitherinthefrequen y

orthetimedomainwhi hmostlywillprovidethesameinformation. Inthis ongurationthemeasurements

are made in the frequen y domain and onsequently time domain signals are obtained by an inverse fast

fouriertransform[2℄.

2 A quired Data Format

Inthefrequen ydomain, ea hfrequen y omponentissentandmeasuredoveranarrowbandwidthwitha

onstantfrequen ystepof

15 M Hz

from

f

min

= 2 GHz

to

f

max

= 8.0 GHz

(foratotalnumberoffrequen ies

F

tot

= 401

). Forea hstep,theadoptedve tornetworkanalyzer(VNAHP8720B) olle tsinatextleready tobepostpro essedtherealandimaginarypartsofalltheree tion

S

mm

(f ), m = 1, ..., M

andtransmission

S

nm

(f ), n = 1, ..., N ; m = 1, ..., M ; n 6= m

parameters, where

N

and

M

are the number of re eivers and transmitters, respe tively. Also a Rohde & S hwarzVNA is available to olle t the samedata, the main

dieren es onsist in aslightly widerfrequen y bandwidth (

f

min

= 1.5 GHz

and

f

max

= 8.0 GHz

)and a highernumberoftotalfrequen ypoints

F

tot

= 2001

. Thewholefrequen ysweepofameasurementisnally storedinathree-dimensionalstru tureasshowninFig. 1. Everygrayplanerepresentsallthe ombinations

betweenthe

m

-th transmitter and

n

-th re eiver(in this onguration

M

= N

)for thedata apture of all the

S

-parameters, while the pink pattern representsthe frequen y sweep of one

S

-parameter required by the inverse fouriertransform pro edure to obtaintheUWB time-domain signal. As it anbeseen,on the

diagonal of ea h gray plane are stored all the ree tion parameters

S

mm

(f ); m = 1, ..., M

. Alternatively, whenanextraantennaisadoptedastransmitterandthearrayelementsa tasre eivers,onlythetransmission

parameters

S

n

1 (f ); n = 1, ..., N

are measuredandstored asin Tab. I.In thisparti ular onguration,the transmitterindex isxedto

m

= 1

whilethere eiverindex

n

= 1, ..., N

s ansallthearrayelements.

(6)

[1℄ A. Cresp,I.Aliferis, M. J.Yedlin, C. Pi hot, and J.-Y. Dauvigna , Investigation oftime-reversal

pro- essing for surfa e-penetrating radar dete tion in a multiple-target onguration, submitted to 2008

EuropeanRadarConferen e (EuRAD08),30-31O tober,Amsterdam,2008.

[2℄ V. Chatelee, A. Dubois, I. Aliferis, J.-Y. Dauvigna , C. Pi hot, M. J. Yedlin, Real data mi rowave

imaging and time reversal, IEEE Antennas Propagat. So . Int. Symp., Homolulu, Hawaii, USA, pp.

SVM-based Classification Approach for Synthetic-Impulse Microwave Imaging - Data Format

UNIVERSITY

OF TRENTO

DIPARTIMENTO DI INGEGNERIA E SCIENZA DELL’INFORMAZIONE

38050 Povo – Trento (Italy), Via Sommarive 14

http://www.disi.unitn.it

SVM-

BASED

C

LASSIFICATION

A

PPROACH FOR

S

YNTHETIC

-I

MPULSE

M

ICROWAVE

I

MAGING

–

DATA FORMAT

F. Viani, M. Benedetti, M. Donelli, L. Lizzi, A. Cresp, I. Aliferis,

C. Pichot, and A. Massa

August 2008

(1)

(1)

(1)

(1)

(2)

(2)

(2)

(1)

(1)

(2)

15 M Hz

f

min

= 2 GHz

f

max

= 8.0 GHz

F

tot

= 401

S

mm

(f ), m = 1, ..., M

S

nm

(f ), n = 1, ..., N ; m = 1, ..., M ; n 6= m

N

M

f

min

= 1.5 GHz

f

max

= 8.0 GHz

F

tot

= 2001

m

n

M

= N

S

S

S

mm

(f ); m = 1, ..., M

S

n

1

(f ); n = 1, ..., N

m

= 1

n

= 1, ..., N

RX

₁

₁

₁₁

₁₁

₂₁

₂₁