Joint estimation of motion parameters using Newton's method

The radar echo model used to estimate the motion parameters of a moving target is found to be inaccurate and biased. In order to improve the parameter estimation accuracy of high-speed targets, we extend the maximum likelihood estimation (MLE) method from slow-speed echo model to high-speed echo model and propose an MLE estimator based on Newton's method for high-speed targets. Newton's iteration formula and Cramér-Rao lower bound (CRLB) are derived in closed form for high-speed echo signal and the convergence region is briefly analyzed. The results of Monte Carlo simulation show the proposed approach achieves the CRLB and outperforms the existing estimators. The bias of the slow-speed echo model and the accuracy of the high-speed echo model are verified with the real radar data and simulation data.