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Chapter 3: Vehicle-Mounted GPR System for Landmine Detection

Chapter 3: Vehicle-Mounted GPR System for Landmine Detection

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3. VEHICLE-MOUNTED<br />

<strong>GPR</strong> SYSTEM FOR<br />

LANDMINE DETECTION<br />

3.1 <strong>System</strong> Concepts<br />

This radar system makes use of both a <strong>GPR</strong> and a metal detector, i.e., it is a dual<br />

sensor system, and the sensors work simultaneously. As described in <strong>Chapter</strong> 1,<br />

metal detectors can have responses to very small amounts of metal and results in a<br />

large number of false alarms. One would be able to identify whether any one of<br />

those responses is a landmine or not by observing the <strong>GPR</strong> images, because it<br />

contains in<strong>for</strong>mation on object dimensions. If the detected metal object is small, e.g.<br />

a nail or bullet, <strong>GPR</strong> cannot reproduce or display a clear image, and if the object is<br />

large, e.g. “unexploded ordinance” (UXO), <strong>GPR</strong> can image its shape. This detection<br />

scenario is commonly used <strong>for</strong> dual sensor systems. Another concept is that radar<br />

antennas configured as an array are employed in this system. It can acquire<br />

multi-offset data sets and enables “common mid-point processing” (CMP). CMP<br />

processing can reduce noise and clutter, thus the obtained image would display a<br />

clear contrast between the surrounding medium and objects. In addition, this sensor


28 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

is scanned by a robot arm mechanically. Hence, data quality would be stable, and<br />

the sensor can be scanned automatically resulting in the system to become of high<br />

efficiency. The goal is <strong>for</strong> the surveying time including data acquisition, processing,<br />

and interpretation to be within 10 minutes <strong>for</strong> 1 sq. m.<br />

The image reconstruction uses synthetic aperture radar (SAR) technology, thus<br />

the system is named SAR-<strong>GPR</strong>. The development of SAR-<strong>GPR</strong> is under a program<br />

“Research and Development of Sensing Technology, Access and Control Technology<br />

to Support Humanitarian Demining of Antipersonnel Mines” founded by Japanese<br />

Science and Technology Agency (JST), which the competent authority is Ministry of<br />

Education, Culture, Sports, Science and Technology (MEXT).<br />

3.2 Development of the <strong>System</strong><br />

3.2.1 Hardware configuration<br />

Fig. 3.1 shows the system diagram. When the sensor allocates a measurement<br />

position, the vehicle sends a trigger signal to the vector network analyzer (VNA)<br />

controller. The controller triggers the data acquisition by the VNA and the metal<br />

detector. The acquired data is buffered to the controller <strong>for</strong> the radar data and to PC<br />

Ethernet<br />

PC <strong>for</strong><br />

MD<br />

PC <strong>for</strong><br />

<strong>GPR</strong><br />

RS232C<br />

Trg<br />

Ethernet<br />

Metal<br />

detector<br />

VNA #1<br />

VNA #2<br />

Trg<br />

VNA<br />

controller<br />

VNA #3<br />

<strong>Vehicle</strong><br />

Antennas<br />

Fig. 3.1: <strong>System</strong> diagram of the vehicle-mounted <strong>GPR</strong> system, SAR-<strong>GPR</strong>.<br />

MD<br />

sensor<br />

head


3.2 Development of the <strong>System</strong> 29<br />

<strong>for</strong> the metal detector data. The system is a vector network analyzer based radar<br />

system, i.e., it is a stepped-frequency radar system. The reason why this type of<br />

radar system is employed is that the most critical parameter to investigate<br />

subsurface object is the operating frequency range, and it can easily be changed in a<br />

stepped-frequency radar system.<br />

The radar system except the PCs and VNA controller is assembled and installed<br />

in the case shown in Fig. 3.2. The lower blue box includes the six antennas, and the<br />

upper white box has three VNAs. The size of the case is 50×40×50 cm, and the<br />

weight is 14 kg. The case is attached to the tip of the robot arm on which the vehicle<br />

is developed by Fuji Heavy Industries Ltd., Japan and by the Department of<br />

Electronics and Mechanical Engineering, Chiba University, Japan as shown in Fig.<br />

3.3.


30 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

Fig. 3.2: Case and VNAs of SAR-<strong>GPR</strong>. Three VNAs shown in the right-hand side<br />

are installed in upper white part, and six antennas are in lower blue part of the case.<br />

Fig. 3.3: SAR-<strong>GPR</strong> mounted on Mine Hunter <strong>Vehicle</strong> (MHV) developed by Fuji<br />

Heavy Industries Ltd., Japan and by the Department of Electronics and Mechanical<br />

Engineering Chiba University, Japan.


3.2 Development of the <strong>System</strong> 31<br />

3.2.2 Use of three VNAs<br />

In this system, three pairs of antennas are used to acquire multi-offset data. In<br />

general <strong>GPR</strong> measurements of geological surveys, the data acquisition is done over<br />

and over again with changing the separation of antennas or with switching the signal<br />

using array antennas. However, the acquisition must be done three times <strong>for</strong> one<br />

position and the goal cannot be accomplished by using these methods. Our solution<br />

is simultaneous usage of three vector network analyzers. This manner can ideally<br />

reduce the acquisition time by 1/3 compared to the case of using only one VNA.<br />

There are two problems in the use of three VNAs simultaneously. One is the size<br />

and weight. In general, a VNA is a huge and heavy instrument, e.g. 35×22×46 cm<br />

and 25 kg (Anritsu MS4622). It is too large and heavy to carry three of them on a<br />

robot arm or even on a vehicle. Thus, the team of Tohoku University developed a<br />

new VNA shown in Fig. 3.4 together with Anritsu, Japan and USA under support of<br />

JST. It is very small, 20×30×5 cm, and very light weight, less than 1 kg without<br />

case, but it has almost the same per<strong>for</strong>mance as the general one, especially <strong>for</strong> the<br />

sweep speed and accuracy. The specifications are listed in Table 3.1.<br />

Fig. 3.4: Vector network analyzer employed in SAR-<strong>GPR</strong>.


32 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

The second problem is interference of the signals. Use of some VNAs<br />

simultaneously means the same signals are emitted and measured by each VNA,<br />

yielding a signal radiated by the transmitter #1 may be received by not only the<br />

receiver #1 but also the receiver #2 and #3, <strong>for</strong> instance. To fix this problem, slightly<br />

different frequency ranges are used in each of the VNA as shown in Fig. 3.5. The<br />

offset frequencies are defined by trial and error. Fig. 3.6 shows the power spectra of<br />

100 ground surface reflections measured by the system with offset frequencies of<br />

100 kHz and 300 kHz and an IF bandwidth 1 of 30 kHz. The obvious fluctuations<br />

can be observed, and those <strong>for</strong> VNA #2 are more than 10 dB. Fig. 3.7 shows the<br />

spectra with offsets of 500 kHz and 1.25 MHz and an IF bandwidth of 3 kHz. They<br />

have almost no fluctuations. From the trials, it is found that an offset frequency must<br />

not be a multiple of the other offset, because the harmonics may be radiated by the<br />

transmitter and it can be measured by a receiver of another pair. Moreover, a sweep<br />

of a VNA can catch up with another sweep since each VNA has its own individual<br />

characteristics. In SAR-<strong>GPR</strong>, the offset frequencies of 500 kHz and 1.25 MHz are<br />

used.<br />

Table 3.1: Specification of the VNA, Anritsu MS6223 (commercial) 2 .<br />

Measurement mode<br />

Frequency sweep range<br />

Amplitude accuracy<br />

Frequncy accuracy<br />

Output level<br />

Dynamic range<br />

S21<br />

100 MHz to 4 GHz<br />

± 1 dB (at -20 dB)<br />

± 5 kHz (at 2GHz)<br />

-5 dBm to +10 dBm<br />

70 dB<br />

Number of frequencies 69/137/275/551<br />

Sweep Speed<br />

Frequency resolution<br />

Weight<br />

Size<br />

0.86 s (551 points)<br />

< 100 kHz<br />

< 3.5 kg (with case, battery)<br />

313× 211× 77 mm (with case)<br />

Operating temperature -10 to +50 ºC<br />

1 IF (intermediate frequency) bandwidth is the filter bandwidth <strong>for</strong> an input signal of a VNA.<br />

2 Actual installed VNA is modified <strong>for</strong> the system.


3.2 Development of the <strong>System</strong> 33<br />

Frequency<br />

Offset 2<br />

Offset 1<br />

VNA #1<br />

VNA #2<br />

VNA #3<br />

Time<br />

Fig. 3.5: Frequency sweeps of VNAs. Three VNAs use slightly different frequency<br />

ranges with two offset frequencies.<br />

Power [dB]<br />

Power [dB]<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

−60<br />

−70<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

−60<br />

−70<br />

1000 2000 3000 4000<br />

Frequency [MHz]<br />

(a)<br />

1000 2000 3000 4000<br />

Power [dB]<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

−60<br />

−70<br />

1000 2000 3000 4000<br />

Frequency [MHz]<br />

(b)<br />

Frequency [MHz]<br />

(c)<br />

Fig. 3.6: Power spectra of 100 ground reflections measured by VNA #1 (a), VNA<br />

#2 (b), and VNA #3 (c) with offset frequency of 100 kHz <strong>for</strong> VNA #2 and 300 kHz<br />

<strong>for</strong> VNA #3, and an IF bandwidth of 30 kHz.


34 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

Power [dB]<br />

Power [dB]<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

−60<br />

−70<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

−60<br />

−70<br />

1000 2000 3000 4000<br />

Frequency [MHz]<br />

(a)<br />

1000 2000 3000 4000<br />

Power [dB]<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

−60<br />

−70<br />

1000 2000 3000 4000<br />

Frequency [MHz]<br />

(b)<br />

Frequency [MHz]<br />

(c)<br />

Fig. 3.7: Power spectra of 100 ground reflections measured by VNA #1 (a), VNA<br />

#2 (b), and VNA #3 (c) with offset frequency of 300 kHz <strong>for</strong> VNA #2 and 1.25<br />

MHz <strong>for</strong> VNA #3, and an IF bandwidth of 3 kHz.<br />

3.2.3 Antennas<br />

Vivaldi antennas are employed in this system. It is a kind of microstrip antenna,<br />

which possesses a wide bandwidth and a high cross-polarization ratio (Guillanton et<br />

al., 1998). Since it can be made on a thin and lightweight circuit board, it has<br />

advantages, <strong>for</strong> example easy to be manufactured and to be configured as an array.<br />

For SAR-<strong>GPR</strong>, the antenna shown in Fig. 3.8(a) has been designed and<br />

manufactured. The size is 19×20 cm, and the antennas are aligned with a spacing of<br />

6 cm as shown in Fig. 3.8(b). Return loss of the antennas with the array<br />

configuration is shown in Fig. 3.9.


3.2 Development of the <strong>System</strong> 35<br />

(a)<br />

60<br />

200<br />

Rx #3<br />

Rx #2<br />

Rx #1<br />

Tx #1<br />

Tx #2<br />

Tx #3<br />

190<br />

(b)<br />

Fig. 3.8: Antenna array used in SAR-<strong>GPR</strong>. Picture of the single Vivaldi antenna (a),<br />

and Vivaldi antennas aligned as the array (b).<br />

Return loss [dB]<br />

0<br />

−10<br />

−20<br />

−30<br />

−40<br />

−50<br />

1 2 3 4<br />

Frequency [GHz]<br />

Fig. 3.9: Return loss in antennas arrayed. The solid, broken, and dotted-broken<br />

lines show that of antenna #1 (inner pair), #2 (middle pair), and #3 (outer pair),<br />

respectively.


36 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

3.3 Image Reconstruction<br />

In this system, well-established and fast imaging algorithms are implemented in<br />

order to satisfy the time limitation. The followings are the processing flow of the<br />

acquired data as summarized in Fig. 3.10 (Feng and Sato, 2004): data D<br />

( r, ω)<br />

acquired at a certain position r = {, x yz ,} includes direct coupling components<br />

D<br />

c<br />

( ω)<br />

. The components can be acquired prior to a measurement pointing the<br />

antennas to the air space and is subtracted from the measured data.<br />

S (, r ω) = D (, r ω) −D c<br />

( ω)<br />

(3.1)<br />

Then inverse Fourier trans<strong>for</strong>m is taken to construct time domain signals.<br />

1<br />

s(,) r t = F − ⎡ S<br />

⎣<br />

(, r ω)<br />

⎤ ⎦<br />

(3.2)<br />

Signals acquired by different antennas have different amplitudes. Their amplitudes<br />

should take a balance to make the weights equal <strong>for</strong> CMP stacking. The balanced<br />

traces can be obtained by weighting the original traces, and the weighting factor is<br />

calculated from the averaged amplitudes. First, a time average of a trace by an<br />

antenna combination is calculated as<br />

1<br />

Qn() r = dt sn(,) t n=<br />

1, , N<br />

T<br />

∫ r , (3.3)<br />

where N denotes the number of antenna combinations, N = 3 in the system, and<br />

T is a length of the time window. Then the averaged amplitude <strong>for</strong> all<br />

combinations is calculated as<br />

Frequency<br />

domain data<br />

Direct coupling<br />

subtraction<br />

IFT<br />

Trace<br />

balancing<br />

NMO<br />

CMP<br />

Migration<br />

3D image<br />

Fig. 3.10: Processing flow chart in SAR-<strong>GPR</strong>.


3.3 Image Reconstruction 37<br />

N<br />

1<br />

Q() r = ∑Qn<br />

() r . (3.4)<br />

N n = 1<br />

According to Eqs. (3.3) and (3.4), the weighting factor is defined as the ratio<br />

Q()<br />

r<br />

Wn<br />

() r =<br />

Q () r<br />

n<br />

(3.5)<br />

With the weighting factor, the balanced traces sˆ( r ,) t are calculated as<br />

sˆ (,) r t = s (,) r t ⋅W<br />

() r . (3.6)<br />

n n n<br />

Next, these traces <strong>for</strong> each antenna combination are stacked to reduce incoherent<br />

clutter and noise. Since these traces have different offset (antenna separation), their<br />

time axes are not the same. To compensate the axes, normal move out (NMO) is<br />

per<strong>for</strong>med, and then the traces are stacked.<br />

where<br />

s (,) r t = ∑ sˆ<br />

(, r τ ), (3.7a)<br />

CMP n n<br />

n=<br />

1<br />

N<br />

air soil<br />

⎛Ln<br />

L ⎞<br />

n<br />

τ<br />

n<br />

= 2⎜<br />

+ ⎟, (3.7b)<br />

⎝ c 1 ε ⎠<br />

air<br />

L and L soil are the path lengths in the air and soil, respectively. c is the<br />

velocity of the electromagnetic wave in the air, and ε is a permittivity of the soil.<br />

This process virtually constructs a monostatic radar signal measured at the CMP<br />

position from bistatic signals as illustrated in Fig. 3.11. Then migration is per<strong>for</strong>med<br />

<strong>for</strong> the stacked signals. Here diffraction stacking is used as a migration technique.<br />

The amplitude at a position r ′ = { x′ , y′ , z′<br />

} in the three-dimensional image is given<br />

by<br />

where<br />

i( r′ ) dxdys ( r , τ ′), (3.8a)<br />

= ∫∫<br />

CMP<br />

2 ′ −<br />

τ ′ = r r , (3.8b)<br />

1 ε<br />

and r = { x, yz , } is the position signal acquired, i.e., the CMP position.


38 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

CMP<br />

Tx N<br />

Tx 1<br />

Rx 1<br />

Rx N<br />

L air<br />

L soil<br />

Fig. 3.11: Concept of CMP stacking. It constructs a virtual monostatic radar signal<br />

measured at the CMP point.<br />

3.4 Quick <strong>Detection</strong> Algorithm<br />

In general, landmines are found out from the <strong>GPR</strong> images by carefully checking<br />

the slices with changing the depths. It requires knowledge and experiences and is<br />

time consuming. Since actual demining operations will be done by non-specialists<br />

of <strong>GPR</strong>, the interpretation must not be complicated. Here a quick detection<br />

algorithm <strong>for</strong> landmines from <strong>GPR</strong> image is proposed. The algorithm is designed <strong>for</strong><br />

the quick operation, and it permits that some number of false alarms may occur.<br />

The processed image i( r ) has high amplitudes at locations where something is<br />

buried or medium properties have changed. To make the interpretation easy, the<br />

amplitudes are mapped on two-dimensional space in this algorithm. At first,<br />

envelopes of the traces with respect to depth are taken<br />

[ ]<br />

e() r = env i()<br />

r (3.9)<br />

z<br />

Here the envelopes are taken by using the Hilbert trans<strong>for</strong>m<br />

j i( r′<br />

)<br />

env[ i() r ] = i() r + H [ i() r ] = i()<br />

r + dz′<br />

z<br />

π<br />

∫<br />

r−<br />

r′<br />

(3.10)<br />

Then moving averages of the envelopes are taken with a certain window width w .


3.4 Quick <strong>Detection</strong> Algorithm 39<br />

1 z′+<br />

w 2<br />

e( r′ ) = dze( )<br />

w<br />

∫ r (3.11)<br />

z′−w<br />

2<br />

The appropriate window width may depend on the wavelength of the system, and<br />

the most effective width is a semi-period of a trace. The data are normalized by the<br />

maximum value in each depth slice, and summed values with respect to depth are<br />

projected to a map.<br />

pxy ( , ) = ∫ dz<br />

e () r<br />

max ( )<br />

xy ,<br />

[ e r ]<br />

(3.12)<br />

In the actual demining test <strong>for</strong> a sensor, detected targets are rated with the<br />

confidence. The confidence rating is defined as shown in Table 3.2. To calculate the<br />

confidence ratings, the map p( xy , ) is normalized again and is thresholded.<br />

xy ,<br />

( , ) − min [ pxy ( , )]<br />

xy ,<br />

[ p xy] − [ pxy]<br />

pxy<br />

pxy ˆ( , ) =<br />

max ( , ) min ( , )<br />

xy ,<br />

⎧ 0 0 ≤ p( xy , ) ≤th1<br />

⎪<br />

25 th1 < p( x, y)<br />

≤th2<br />

⎪<br />

prate( xy , ) = ⎨ 50 th2 < pxy ( , ) ≤th3<br />

⎪ 70 th3 < p( x, y)<br />

≤ th4<br />

⎪<br />

⎪ ⎩100 th4<br />

< p( x, y) ≤1<br />

(3.13)<br />

(3.14)<br />

The four thresholds should be defined by analyzing the stochastic distribution of<br />

p( xy. , )<br />

This algorithm is not a trace-by-trace process, because the algorithm uses the<br />

migrated data and the normalization in Eq. (3.12) is taken in a two-dimensional<br />

space. Thus, the rating in Eq. (3.14) is not an absolute evaluation. It compares the<br />

energy of the trace with neighboring ones meaning a relative evaluation. If the<br />

ground surface is relatively flat and no large terrain changes, this algorithm might<br />

work well. If not, it however could output errors.


40 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

Table 3.2: Definition of the confidence ratings.<br />

Ratings<br />

Criteria<br />

0 I am 100 % sure that there is nothing here<br />

25 It seems that there is something here<br />

50 I am 100 % sure that there is something here<br />

75<br />

I am not totally sure,<br />

but I would say the detected object seems to be a landmine<br />

100 I am 100 % sure that the detected object is a landmine<br />

3.5 Experimental Results<br />

An example of the experimental result is shown here. The measurement was<br />

carried out at a sand pit in the <strong>GPR</strong> Lab., Tohoku University, Japan. The targets<br />

were landmine models of Type72 and PMN2 shown in Fig. 3.12, and a mine-like 3<br />

stone buried as Fig. 3.13. They are buried at a depth of 2 cm, and the landmine<br />

model PMN2 is buried vertically. The soil is dry sand mixed with gravels whose<br />

diameters are around 2 cm. The <strong>GPR</strong> antennas were scanned by an x-y stage<br />

(Device Co., Ltd., Japan) with a velocity of 100 mm/s as shown in Fig. 3.14. The<br />

measurement interval is 30 mm in both x and y directions.<br />

The raw time domain data acquired by VNA #1 (inner pair) is shown in Fig. 3.15<br />

as a horizontal slice at a time of 2.4 ns, which corresponds at a depth of about 2 cm.<br />

The three targets are visible in this profile, however also clutter can be seen and the<br />

responses from the targets are not so clear. Thus, they cannot be recognized without<br />

a priori knowledge. Fig. 3.16 shows vertical and horizontal slices of the processed<br />

data at x =110 cm and at a depth of 2 cm. The three targets are clearly imaged and<br />

they have obviously different shapes and dimensions to clutter imaged at left on the<br />

horizontal slice. Note that the depth in the vertical slice is defined from the tip of the<br />

antennas, thus the ground surface is imaged at a depth of 10 cm. The measurement<br />

was a blind test, i.e. the operator did not know the types, positions, depths, and<br />

numbers of buried objects prior to the measurement. From the image, the operator<br />

3 The term mine-like object is defined as an object whose shape and dimension resemble that of a<br />

landmine.


3.5 Experimental Results 41<br />

could detect all of the objects including the stone on site.<br />

The quick detection algorithm is applied to this data. The window width w in Eq.<br />

3.11 has to be defined first from the wavelength. Fig. 3.17(a) shows traces at<br />

( x, y ) = (1050, 1000) mm (at Type72 buried), and (800, 1000) mm (at nothing<br />

buried). Since the semi-period seems 20 mm, the width w is defined as 20 mm. In<br />

these traces, the reflection from the target cannot be seen at the depth of the targets<br />

buried, 120 mm, since it is masked by the reflection from the ground surface.<br />

Whereas, it can be seen below a depth of 200 mm as a tail of the reflection. The<br />

envelope and moving averaged envelope of the traces are shown in Figs. 3.17(b) and<br />

(c). By moving average, the envelope is smoothened. Fig. 3.17(d) shows the<br />

normalized envelope. The tail of the reflection at a depth of 200 mm is enhanced.<br />

The histogram of the value pˆ( xy , ) in Eq. 3.13 is shown in Fig. 3.18. Here the<br />

thresholds to rate the confidence are simply defined as<br />

(a)<br />

(b)<br />

Fig. 3.12: <strong>Landmine</strong> models of Type72 (a), and PMN2 (b).


42 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

⎧ th1<br />

= 0.2<br />

⎪ th2<br />

= 0.4<br />

⎨<br />

⎪ th3<br />

= 0.6<br />

⎪<br />

⎩ th4<br />

= 0.8<br />

, (3.15)<br />

i.e., the distribution is divided into five classes with the same widths. The image of<br />

confidence ratings is shown in Fig. 3.19. The two landmine models successfully are<br />

rated as 100 % confidence, and the stone is as 50 %. The stone has a curved surface,<br />

thus the back scattering might not be as strong as <strong>for</strong> the landmine models and it<br />

does not have the tail of the reflection. It might cause a low confidence rating. From<br />

the result, the survey may output three or four false alarms in the left side of the area.<br />

It can be reduced by defining the more appropriate thresholds with stochastic<br />

analyses.<br />

Experimental results of an evaluation test <strong>for</strong> the system are summarized in<br />

Appendix A.<br />

1200<br />

x<br />

Type72<br />

PMN2<br />

900<br />

Stone<br />

300<br />

y<br />

900<br />

700 1600<br />

Fig. 3.13: Layout of the buried landmine models. PMN2 landmine model was<br />

buried erectly.


3.5 Experimental Results 43<br />

Fig. 3.14: Scene of the measurement in <strong>GPR</strong> Lab., Tohoku University, Japan.<br />

1200<br />

1.5<br />

X Position [mm]<br />

1000<br />

800<br />

600<br />

400<br />

800 1000 1200 1400 1600<br />

Y Position [mm]<br />

Fig. 3.15: Horizontal time slice at 2.4 ns acquired by VNA #1 (inner pair of the<br />

antennas). The time of 2.4 ns corresponds to a depth of 2 cm.<br />

1<br />

0.5<br />

0<br />

−0.5<br />

−1<br />

−1.5


44 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

0<br />

4<br />

Depth [mm]<br />

100<br />

200<br />

300<br />

2<br />

0<br />

−2<br />

400<br />

800 1000 1200 1400 1600<br />

Y Position [mm]<br />

(a)<br />

1200<br />

−4<br />

2<br />

X Position [mm]<br />

1000<br />

800<br />

600<br />

400<br />

800 1000 1200 1400 1600<br />

Y Position [mm]<br />

(b)<br />

Fig. 3.16: Processed images. Vertical slice at x=1100 mm (a), and horizontal depth<br />

slice at a depth of 2 cm (b).<br />

1<br />

0<br />

−1<br />

−2


3.5 Experimental Results 45<br />

10<br />

Amplitude<br />

0<br />

−10<br />

0 200 400 600<br />

10<br />

Depth [mm]<br />

(a)<br />

Amplitude<br />

5<br />

10<br />

0<br />

0 200 400 600<br />

Depth [mm]<br />

(b)<br />

Amplitude<br />

5<br />

Amplitude<br />

0<br />

0 200 400 600<br />

1<br />

0.5<br />

Depth [mm]<br />

(c)<br />

0<br />

0 200 400 600<br />

Depth [mm]<br />

(d)<br />

Fig. 3.17: Depth traces at ( x, y ) =(1050, 1000) mm where a Type 72 landmine<br />

model is buried (solid lines) and at ( x, y ) =(800, 1000) mm where nothing is<br />

buried (broken lines). (a) Traces after migration, (b) envelopes of the traces, (c)<br />

moving averaged envelopes, and (d) normalized envelopes.


46 3. <strong>Vehicle</strong>-<strong>Mounted</strong> <strong>GPR</strong> <strong>System</strong> <strong>for</strong> <strong>Landmine</strong> <strong>Detection</strong><br />

800<br />

Frequency<br />

600<br />

400<br />

200<br />

0<br />

0 0.5 1<br />

Amplitude<br />

Fig. 3.18: Histogram of the distribution of pˆ( xy. , ) The dotted-broken lines show<br />

the thresholds defined at th<br />

1<br />

= 0.2, th<br />

2<br />

= 0.4, th<br />

3<br />

= 0.6, and th<br />

4<br />

= 0.8 to rate the<br />

confidences.<br />

X Position [mm]<br />

1200<br />

1000<br />

800<br />

600<br />

400<br />

100<br />

75<br />

50<br />

25<br />

0<br />

800 1000 1200 1400 1600<br />

Y Position [mm]<br />

Fig. 3.19: Image of the confidence ratings.

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