Abstract
A matched filter compresses wide chirps into narrow pulses to improve range resolution in radar imaging. The frequency response of the matched filter should be the conjugate spectrum of the chirp to maximize the signal-to-noise ratio (SNR) of the output. Usually, the chirp has a rectangle-like amplitude spectrum, and thus the matched filter should have a rectangle-like amplitude response. This, however, causes high sidelobes of the output. To suppress sidelobes, the amplitude response of the matched filter can be designed as a proper window. This, however, reduces the SNR because the amplitude response of the matched filter is not matched with the amplitude spectrum of the chirp any longer. This paper presents a novel scheme for both sidelobe suppression and SNR maximization. A proper window is selected to suppress sidelobes, but it is applied in two steps to maximize the SNR. First, the amplitude spectrum of the chirp transmitted by the radar is designed to be proportional to the square root of the window, and thus the amplitude spectrum of the chirp echoed from a scatterer is proportional to the square root of the window. Then, the amplitude response of the matched filter is also designed to be proportional to the square root of the window. Because the output of the matched filter to the chirp has an amplitude spectrum which is proportional to the window, the sidelobes of the output are suppressed. Besides, the SNR is maximized because the amplitude response of the matched filter is matched with the amplitude spectrum of the chirp. Simulated experiments confirm the effectiveness of this scheme.
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The authors would like to express their sincere thanks to the editors and anonymous reviewers.
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This work is supported by the National Natural Science Foundation of China (U2031127) and the Shanghai Academy of Spaceflight Technology Foundation (USCAST2022-30).
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This study was designed by DT, and supervised by JW. DT created the software and collected the data. JW approved the software. Data analysis was performed by DT and JW. DT and JW prepared the manuscript. Both authors critically revised, read and approved the final manuscript.
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Tan, D., Wang, J. Two-step windowing for both sidelobe suppression and SNR maximization of radar range profiles. SIViP 19, 160 (2025). https://doi.org/10.1007/s11760-024-03748-3
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DOI: https://doi.org/10.1007/s11760-024-03748-3