该文提出一种基于切比雪夫(Chebyshev)多项式逼近的新形式的调频变标(Chirp Scaling, CS) SAR成像算法。该算法采用切比雪夫多项式逼近替代了原始CS算法中对回波信号2维频谱的泰勒(Taylor )级数展开近似，公式更加精确。然后利用光学系统抽象出的数学模型确定变标函数以校正距离徙动。并且该算法使由近似引入的误差有了上界限，改善了场景边缘点的聚焦效果，增加了场景的聚焦深度。仿真结果验证了该算法的有效性。
A new form of Chirp Scaling (CS) algorithm based on Chebyshev polynomials in Synthetic Aperture Radar is proposed in this paper. Instead of Taylor series expansion, the Chebyshev polynomials is used to approximate the two-dimensional frequency spectrum of the received signal which leads to a more accurate spectrum. Then the mathematic model extracted from the optical system is exploited to confirm the scaling function for range cell migration correction. Moreover, the approximation errors have the bounded limitation which improve the focusing effect of edge point and increase the depth of focus of the scene. The results of simulations confirm the effectiveness of the proposed algorithm.