The wide-band LFM pulse de-chirp return signals model of maneuvering target is studied. Based on the spectral expansion characteristics of the velocity and acceleration's frequency modulation, a novel linear frequency modulation(FM) return signals model of wide-band range profile of maneuvering target is proposed. Linear parameter estimation and compensation of range profile via Radon-ambiguity transform (RAT) is presented, and the measurement errors of range and velocity are analyzed. The simulation results validate linear compensation model via RAT, indicating that this method can resolve the range profile spectral expansion of maneuvering target unknown motion parameters.