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Cross-range imaging of synthetic aperture radar data. (English) Zbl 1353.94016

Summary: In the paper, we present a deeper observation and clarification of the mathematics of cross range imaging of SAR data as presented by M. Soumekh [Synthetic aperture radar signal processing with MATLAB algorithms. New York, NY: Wiley (1999; Zbl 0974.94003)]. We begin with an introduction to the cross-range SAR image scenario, and establish the relationship between the signal received by the radar antenna and the desired target function. We then evaluate the matched-filtered version of the target function by use of Fourier transforms. We elaborate on Soumekh’s analysis by discussing in detail the method of stationary phase that is used to approximate the spectrum of the echoed signal. Sampling of the echoed signal is also discussed to introduce the concept of the radar system pulse repetition frequency, and its affects on the digitized signal. A method of reducing the PRF via slow-time compression is also explained. Importantly, we present a detailed derivation of slow-time sample spacing, which corrects the formulation by Soumekh [loc. cit., p. 86]. A cross-range imaging algorithm and a comparison of the results with those by Soumekh are given based on our slow-time sample spacing. Finally, we discuss a mathematical model for SAR imaging – Maxwell’s equations for SAR image reconstruction.

MSC:

94A12 Signal theory (characterization, reconstruction, filtering, etc.)
35Q61 Maxwell equations
78A55 Technical applications of optics and electromagnetic theory

Citations:

Zbl 0974.94003

Software:

Matlab
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