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Through-Wall Imaging With UWB Radar System - KEMT FEI TUKE

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4.1 <strong>Through</strong>-<strong>Wall</strong> TOA Estimation 52<br />

Propagation time [ns]<br />

Distance from the wall [m]<br />

4.4<br />

8.9<br />

13.3<br />

17.8<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

a) Reflection from wall<br />

50 100 150 200 250 300 350 400<br />

Number of scans<br />

b) Antenna distance from the wall Wdi 0.2<br />

0 50 100 150 200 250 300 350 400<br />

Number of scans<br />

Fig. 4.1.7: Estimation of antenna distance from the wall. a) Reflection from the<br />

<strong>Wall</strong>, B-scan. b) Antenna distance from the wall Wdi.<br />

wall is shown in Fig. 4.1.7 a). The estimation of Wdi is shown in Fig. 4.1.7 b).<br />

Estimated antenna distance from the wall can be used during TOA computation<br />

required for imaging.<br />

4.1.6 Antenna Beam Compensation<br />

Before the migration can be done, the antenna beam should be compensated according<br />

to the Section 2.5.13. Measurements of antenna direction proprieties leads<br />

to antenna footprint as a weight function depending on the antenna look angle:<br />

w = footprint(φ) (4.1.15)<br />

An example of horn antenna footprint is shown in Fig 4.1.8 a). Because the<br />

positions of the transmit and receive antennas are not the same in bistatic case<br />

(Fig 4.1.8 b)), two different weights for both antennas must be included in the<br />

formation of the SAR imaging algorithm:<br />

I(xT , zT ) = 1<br />

N<br />

N�<br />

w1w2BP Cn (X, k = T OAn) (4.1.16)<br />

n=1

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