Effective motion compensation for MMW seeker helps to improve the performance of 1-D range profile formation and target recognition.This paper focuses on the motion compensation for the Costas frequency coded pulse seeker

and exploits multi-frame data to propose a high-precision velocity estimation method using subspace decomposition.The computational efficiency of the proposed method is then further improved by taking the special structure of the subspace.Numerical simulations are carried out to verify the satisfying performance of the proposed methods.