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

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2.4 Calibration and Preprocessing 11<br />

Amplitude<br />

Amplitude<br />

Amplitude<br />

Amplitude<br />

Amplitude<br />

0.5<br />

0<br />

-1<br />

0.5<br />

0<br />

-1<br />

0.5<br />

0<br />

-1<br />

�[ k]<br />

0.5<br />

0<br />

-1<br />

0.5<br />

0<br />

Crosstalk<br />

a) Measured A-scan<br />

5 10 15 20 25 30 35<br />

tns [ ]<br />

b) Interpolated A-scan<br />

�[ k]<br />

Crosstalk<br />

Crosstalk<br />

<strong>Wall</strong><br />

<strong>Wall</strong><br />

5 10 15 20 25 30 35<br />

tns [ ]<br />

c) Shifted to the time zero<br />

<strong>Wall</strong><br />

5 10 15 20 25 30 35<br />

tns [ ]<br />

d) Crosstalk removed<br />

<strong>Wall</strong><br />

5 10 15 20 25 30 35<br />

tns [ ]<br />

e) After deconvolution<br />

<strong>Wall</strong><br />

Object behind the wall<br />

Object behind the wall<br />

Object behind the wall<br />

Object behind the wall<br />

Object behind the wall<br />

5 10 15 20 25 30 35<br />

tns [ ]<br />

INTERPOLATION<br />

SHIFT TO<br />

TIME ZERO<br />

REMOVE<br />

CROSSTALK<br />

DECONVOLUTION<br />

Fig. 2.4.1: Preprocessing and calibration steps: a) Measured A-scan. b) Interpolated<br />

A-scan. c) Shift to time zero. d) Crosstalk removed. e) After deconvolution.<br />

the interpolated B-scan Bs(X, k) is obtained (Fig. 2.4.1 b)):<br />

Bs(X, k) = Spline(B(X, n), KO), k = nKO − KO + 1 (2.4.1)

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