SAR imaging method for high speed and maneuverability based on modified hyperbolic range equation

For synthetic aperture radar (SAR) imagery applications supporting dealing with high-speed and high-manoeuvrability, it is difficult to obtain an accurate expression of SAR echo signal spectrum in two-dimension (2-D) because of the complicated spatial movements. To address this this problem, we propose a novel method of SAR imagery based on the hyperbolic range equation with linear modification. By approaching the range history with a hyperbolic range expression and introducing a linearly modifying component, the 2-D spectrum with a high accuracy for SAR echo signal is obtained via the principle of stationary phase (POSP). Then, the range cell migration correction (RCMC) as well as range compression can be accurately accomplished in the 2-D frequency domain. In this method, the derivation of the 2-D spectrum is simplified to obtain a concise expression for the convenience of signal analysis and imaging processing. Simulation results of point scatterer are provided to validate the effectiveness of the proposed method.