Motion compensation algorithm based on the designing structured gram matrices method

Motion compensation is a key procedure in inverse synthetic aperture radar (ISAR) imaging. The authors regard the motion compensation as a multi‐parameter estimation problem. Based on the designing structured Gram matrices optimisation method, a novel motion compensation method is presented. This method consists of two parts: the range alignment algorithm and the phase compensation algorithm. The former estimates the offset of each range profile by using a criterion, which makes correlations among all of the range profiles approaching to maximum values simultaneously. Also, the latter can extract phase errors by using the optimisation method to approach the ideal optimal matrix which is derived from analysis on the signal model. The measured data processing results show that the novel motion compensation method has strong robustness and high estimation accuracy.