基于切比雪夫多项式的HRWS星载SAR成像算法

提出了一种新的适用于高分辨率宽测绘带的chirp scaling(CS)成像算法。该算法通过引入切比雪夫多项式插值代替了传统CS算法中的泰勒级数展开，得到了新的二维频谱信号的近似，并在此基础上推导出了完整的成像流程。详细分析了切比雪夫多项式插值得到的二维频谱近似和传统形式的区别，比较了两者在相同展开阶次下的残余误差大小和空变性，并分析了新的二维频谱近似带来的成像质量和距离向分块数方面的性能差异。分析表明该算法具有精度高、误差小、误差空变性弱等特点，能提升成像质量同时减少距离向分块数，适用于高分辨率宽测绘带应用场景。最后，通过仿真实验结果验证了算法的有效性。

High resolution wide swath space borne SAR imaging algorithm based on Chebyshev polynomials

In this paper, a new chirp scaling(CS) algorithm based on Chebyshev polynomials is proposed. The new algorithm uses Chebyshev polynomials interpolation instead of the Taylor series expansion to gain a new expression of the 2 D spectrum, based on which the complete imaging process is developed. This paper analyzes the residual error of the new algorithm and the traditional one, compares the value and spatial variance and discusses the difference in imaging quality and range segmentation. Theoretical analysis shows that the new algorithm possesses high accuracy and less spatial variant error which results in the improvement of imaging and reduction of range segmentation. In the end, computer simulations confirm the validity of the algorithm.