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

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LIST OF FIGURES xiii<br />

kx – Horizontal wavenumber<br />

kz – Vertical wavenumber<br />

K – Multistatic response matrix<br />

KO – Oversampling factor<br />

λ – Eigenvalue<br />

M – Chips number of M-sequence, also number of scatterers<br />

µ – Permeability<br />

µa – Permeability of the air<br />

µw – Permeability of the wall<br />

µrw – Relative permeability of the wall<br />

N – Number of antennas positions<br />

Nx – Resolution of migrated image in X direction<br />

Nz – Resolution of migrated image in Z direction<br />

n – Discrete time, also artificial variable, also number of transmit<br />

antennas<br />

�n – Outward pointing normal to the surface<br />

noise – Noise<br />

−→ ∇ – Divergence<br />

∇ 2 – Laplacian<br />

OSAR – Computational complexity of SAR imaging<br />

OKir – Computational complexity of Kirchhoff migration<br />

OSto – Computational complexity of Stolt migration<br />

ω – Angular frequency<br />

P – Position of point-like target<br />

φ – Scalar wavefield in frequency domain, also angle of wave<br />

φ0 – Scalar potential at z = 0<br />

ψ – Scalar wavefield in time domain<br />

R – Position of antenna center<br />

r, θ, ϕ – Spatial coordinates<br />

r – Distance from the origin to the line along a vector perpendicular<br />

to the line<br />

σ – Conductivity<br />

σw – Conductivity of the wall<br />

S(X, Z) – Measured space with coordinates X and Z<br />

Spline – Spline function<br />

S0 – Surface at plane Z = 0<br />

Sz – Surface below the reflector<br />

S∞ – Surface at vertical cylindrical walls<br />

surf – Surface<br />

θ – vertical angle between the receiver and ray to the scatterpoint,<br />

also angle of the vector perpendicular to the line

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