Some Possibilities of Spatial Signal Processing in an Inhomogeneous Medium Based on DWFT

Abstract

The integral representation for the wave field in a multiscale inhomogeneous medium, obtained using the double weighted Fourier transform (DWFT), takes into account different diffraction effects. Spatial radio signal processing based on the DWFT inversion eliminates these effects from received signals. This paper reviews the results of studies on spatial signal processing based on the DWFT inversion. This processing has been shown to reduce amplitude scintillation and improve the resolution in diagnostics of inhomogeneous media. Moreover, elimination of diffraction effects allows us to reduce the residual error in multifrequency global navigation satellite systems. This processing also increases the channel bandwidth and therefore its capacity.

Contribution of backscattering by small-scale irregularities in wave reflection from a randomly inhomogeneous multiscale ionospheric layer

“…At the same time, the simultaneous reflection and backscattering necessitate the consideration of the repeated backscattering effect 3 . The double weighted Fourier transform (DWFT) method can describe various diffraction effects in solving the wave problem in a small-angle approximation, when solving an elliptic wave equation is reduced to solving a parabolic equation 4 . To generalize this approach for a wide-angle case including consideration of reflection and backscattering, the wave equation is reduced by the Fock method [5][6] to a parabolic equation [7][8][9][10] , which is solved by the DWFT method 11 .…”