An Imaging Dictionary Based Multipath Suppression Algorithm for Through-Wall Radar Imaging

Statistical Model of Centimeter Range Signals That Have Passed The Surface and Space Propagation Path

“…Experimental results for ground paths attest probably relation between root-mean-square error (RMSE) of phase difference for the signals and their amplitude ratio in two-or multichannel systems [2,3]. In the specific conditions, the statistical characteristics of phase difference for some signals relate on their amplitude ratio.…”

“…( ) Let us suppose that the reflected signal from the terrain element is a stationary normal random process with uncorrelated quadratures, zero mean and the same variances. For a statistical description of the received signals, we apply the two-dimensional normal distribution of the quadratures of the received signals with the known average vector and the spatial correlation matrix [3,5,6].…”

“…Under these conditions, the spatial correlation coefficient of the scattered signal can be written in the following form [3,5]: ]. In this case, any partial scattered signal and direct signal are uncorrelated at the receiving site.…”

“…It is known that the output signals of antennas on the tropospheric and space propagation paths of radio waves can be expressed as the sum of the radio emission source signal and the scattered component due to medium inhomogeneities [1][2][3][4][5]. While scattering of radio waves by small-scale inhomogeneities in the troposphere, the scattered component is described by a stationary normal random process, when the observation interval of the signal does not exceed several seconds and the transmitting points are fixed [3,5]. The angular energy spectrum of scattered waves G (α) is usually described by a continuous function with a maximum, in general, not coinciding with the angular position of the radio emission source [5].…”

“…These features of surface propagation paths are not taken into account in known statistical models of received signals [3,5,6].…”