基于加权l1范数优化的双基地ISAR稀疏成像算法

doi:10.12305/j.issn.1001-506X.2021.04.11

Abstract

Abstract:

To solve the problem of poor reconstruction quality in bistatic inverse synthetic aperture radar (ISAR) sparse aperture imaging under low signal-to-noise ratio conditions, a high resolution imaging algorithm based on weighted l₁ norm optimization is proposed. First, assuming that the image pixels are sparsely distributed, the Bayesian criterion and the maximum a posteriori probability estimation are used to transform the bistatic ISAR sparse aperture imaging problem into a weighted l₁ norm constraint problem, and the imaging model is established. Second, the Cauchy-Newton algorithm is used to solve the weighted l₁ norm constrained optimization problem and obtain the target image reconstruction. Because the pixels are assumed to be independent and non-uniformly distributed, the energy aggregation and structural characteristics of the target are better utilized in the way of weighting, which improves the imaging quality. Finally, simulation experiments verify the effectiveness and superiority of the algorithm.

Key words: bistatic inverse synthetic aperture radar (ISAR), sparse apertures, weighted l₁ norm, compressive sensing, optimization theory

CLC Number:

Dongfang XUE, Xiaoxiu ZHU, Wenhua HU, Baofeng GUO, Huiyan ZENG. Bi-ISAR imaging based on weighted l₁ norm optimization algorithm[J]. Systems Engineering and Electronics, 2021, 43(4): 944-953.

Figures/Tables 12

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References 27

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RMES	SNR/dB
RMES	0	10	20
CoSaMP算法	0.194 1	0.143 5	0.103 2
l₁范数	0.152 0	0.095 6	0.061 2
加权l₁范数	0.064 5	0.060 7	0.057 4

参数名称	参数值	参数名称	参数值
载频/GHz	10	累计脉冲个数/个	500
带宽/MHz	800	累积转角/(°)	3.44
采样率/GHz	1	平均双基地角/(°)	42.45
脉冲宽度/μs	20	距离向分辨率/m	0.160 9
脉冲重复频率/Hz	50	方位向分辨率/m	0.268 3

算法	图像衡量标准	SNR/dB
算法	图像衡量标准	20	10	0
CoSaMP算法	C	30.614 1	27.174 4	23.491 7
	TBR	34.942 1	32.697 9	20.038 6
	RMSE	10.974 4	12.216 8	13.724 7
l₁范数算法	C	36.783 5	29.432 5	26.342 6
	TBR	67.423 5	47.388 1	28.372 5
	RMSE	10.686 3	11.454 3	12.054 3
本文算法	C	44.379 7	42.366 7	41.094 8
	TBR	95.238 1	92.434 7	80.656 6
	RMSE	10.324 6	10.551 4	10.845 4

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Bi-ISAR imaging based on weighted l₁ norm optimization algorithm

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Bi-ISAR imaging based on weighted l₁ norm optimization algorithm