Abstract
Keystone Transform (KT) and Radon Fourier Transform (RFT) are two popular methods proposed to overcome range migration in radars. A major concern in these methods is the computational complexity for real time operations. In this paper, a low complexity implementation of recurrent chirp-z transform (CZT) is offered in order to be employed in fast KT with no loss in performance. Additionally, a novel RFT implementation utilizing recurrent CZT is proposed to take advantage of the fast execution of repeated CZT. A mathematical analysis and simulation results are presented to show the performance and efficiency of the proposed techniques.
Highlights
Detection of high speed targets with low radar cross section is one of the significant problems and it is taking an increasing attention in the field of radar signal processing
The computational complexity advantage of the proposed Keystone Transform (KT) and Radon Fourier Transform (RFT) implementations compared to standard implementations [21], [22] over NF are given in Fig. 6 where we set M = 512, N = 4, Nv = 1024
In this paper, a computationally efficient implementation was proposed to perform repetitive application of chirp-z transform (CZT) which are characterized by different starting points and with the same angular spacing on the spiral contour
Summary
Detection of high speed targets with low radar cross section is one of the significant problems and it is taking an increasing attention in the field of radar signal processing. As for the parametric search methods employing coherent integration detection, Keystone Transform (KT) [13]–[18] and Radon Fourier Transform (RFT) [19]–[21] are typical algorithms. LOW COMPLEXITY KT AND RFT UTILIZING CZT In the following subsections, we propose to reduce computational load of executing repeated CZT and benefit from it in KT and RFT implementation For this purpose, KT and RFT implementations need to be expressed as procedures which employ repeated CZT. A. NOVEL RFT IMPLEMENTATION EMPLOYING CZT RECURRENTLY Matched filter output in the slow time - range frequency domain can be reexpressed by substituting (2) in (3):. Doppler ambiguity compensation factors and CZT parameters are the only differences between two implementations
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