基于分数阶傅里叶变换和图像加权熵的Chirp Scaling算法*

doi:10.7523/j.ucas.2022.084

中国科学院大学学报

基于分数阶傅里叶变换和图像加权熵的Chirp Scaling算法^*

尚敏^1,2†, 徐向辉^1,2

1 中国科学院空天信息创新研究院,北京 100094;
2 中国科学院大学电气与电子通信工程学院,北京 100049

收稿日期:2022-07-17 修回日期:2022-11-08 发布日期:2022-11-10
通讯作者: ^† E-mail：shangmin20@mails.ucas.ac.cn
基金资助:
* 国家重点研发计划 (2017YFB0503001)资助

Chirp Scaling algorithm based on fractional Fourier transform and image weighted entropy

SHANG Min^1,2, XU Xianghui^1,2

1 Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100094, China;
2 School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2022-07-17 Revised:2022-11-08 Published:2022-11-10

摘要/Abstract

摘要： 针对传统的基于傅里叶变换和匹配滤波实现的Chirp Scaling（CS）成像算法中多普勒参数随斜距变化以及成像分辨率低的问题,提出利用分数阶傅里叶变换(FRFT)对CS成像算法进行优化的算法。首先建立斜视合成孔径雷达（SAR）回波信号模型,理论推导利用FRFT代替匹配滤波来进行信号压缩后得到的回波信号模型。针对方位向最优旋转角的搜索问题,对得到的图像根据加权最小熵建立代价函数,利用动量法的梯度下降优化算法来进行迭代计算,最终得到分辨率更高的SAR图像。为验证算法的有效性,分别在点目标仿真数据和实测SAR数据集上进行实验,结果表明,与传统CS成像算法相比,该算法的成像结果成像主瓣宽度更窄,旁瓣更低,成像更加清晰。

关键词: 分数阶傅里叶变换, chirp scaling成像算法, 加权最小熵, 斜视SAR, 匹配滤波

Abstract: In order to solve the problem that doppler parameters vary with the skew and the image resolution is low in the traditional Chirp Scaling (CS) imaging algorithm based on Fourier transform and matched filtering, an algorithm to optimize CS imaging algorithm using fractional Fourier transform (FRFT) is proposed. Firstly, the echo signal model of squint synthetic aperture radar (SAR) is established, and the echo signal model is derived by using FRFT instead of matched filtering. In order to search for the optimal azimuth rotation Angle, the cost function of the image is established according to the weighted minimum entropy, and the gradient descent optimization algorithm of momentum method is used to perform iterative calculation. Finally, a higher resolution SAR image is obtained. In order to verify the effectiveness of the algorithm, experiments were carried out on point target simulation data and measured SAR data sets respectively. The results show that compared with the traditional CS imaging algorithm, the main lobe width of the algorithm is narrower, the sidelobe is lower, and the image is clearer.

Key words: fractional Fourier transform, Chirp Scaling imaging algorithm, weighted minimum entropy, squint synthetic aperture radar, matched filtering

中图分类号:

TN958

尚敏, 徐向辉. 基于分数阶傅里叶变换和图像加权熵的Chirp Scaling算法^*[J]. 中国科学院大学学报, DOI: 10.7523/j.ucas.2022.084.

SHANG Min, XU Xianghui. Chirp Scaling algorithm based on fractional Fourier transform and image weighted entropy[J]. Journal of University of Chinese Academy of Sciences, DOI: 10.7523/j.ucas.2022.084.

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基于分数阶傅里叶变换和图像加权熵的Chirp Scaling算法^*

Chirp Scaling algorithm based on fractional Fourier transform and image weighted entropy

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