Abstract
The article considers the transformation of the back-projection method (focusing) for recovering geometry from the knowledge of the scattered field received with a multi-static radar system (multi-static radio hologram). It is shown that it can be expressed as a two-dimensional non-equidistant Discrete Fourier Transform (NDFT). An example of focusing a multi-frequency multi-static radio hologram of a flat multipoint object is given, and a reconstructed image is obtained based on the back-projection algorithm and the NDFT algorithms. A modification of NDFT based on the fast Gaussian gridding of non-uniform nodes (NuFFT), implemented in MATLAB, is used to speed up image reconstruction. A numerical experiment indicates similar reconstructed images obtained by the backpropagation method and with the two-dimensional NuFFT method. However, the NuFFT method was 740 times faster. The results show a significant reduction.
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