Fourier Transform of SAR Data Cube and 3-D Range Migration Algorithm

Abstract

To develop a three-dimensional (3D) imaging SAR algorithm, a theoretical expression for Fourier transform of data cube is required. In this paper, we introduce a function representing the Fourier transform of 3D SAR data cube. The function is derived using the method of stationary phase and similar to the one used for two-dimensional (2-D) data matrix. For verification and evaluation, a 3D range migration algorithm using this function for bulk compression is examined. The simulation results based on the parameters of an experimental THz indoor SAR testbed show that the algorithm can well focus the 3D image and, hence, verify the derived function. The image quality assessments such as spatial resolutions and peak sidelobe ratio (PSLR) are used to further evaluate the function and the algorithm. The measured results are compare with the ones provided by a backprojection algorithm.

Windowed Fourier transform for non-line-of-sight imaging algorithms

“…Windowed FT can suppress spectral leakage. Moreover, in SAR data processing, frequency domain windowing is frequently employed to mitigate range sidelobes in the time domain [10][11] In the context of image reconstruction NLOS, using the Windowed FT is akin to reweighting the data, and accomplishing data preprocessing through simple operations, thereby equivalent to a filtering process. In this paper, we studied 2D and 3D windows since the reconstruction in NLOS represents the 3D information of an object.…”