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.

中文翻译：

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基于DWFT的非均匀介质中空间信号处理的一些可能性

使用双加权傅里叶变换（DWFT）获得的多尺度非均匀介质中波场的积分表示考虑了不同的衍射效应。基于DWFT反演的空间无线电信号处理可消除接收信号中的这些影响。本文综述了基于DWFT反演的空间信号处理研究成果。已显示该处理可减少幅度闪烁并提高非均质介质诊断的分辨率。此外，消除衍射效应使我们能够减少多频全球导航卫星系统中的残留误差。该处理还增加了信道带宽，从而增加了其容量。