Complex motions such as micro-motions induce complex range-Doppler coupling effect in radar imaging. Hence, it is a challenge to reconstruct a clear range profile of a target with micro-motion. Stretch processing with fine motion compensation cannot perform well while it ties to eliminate the distortion of range profile caused by Doppler effect, because it is difficult to accurately estimate each scattering center velocity during coherent processing interval. Based on nonuniform stretch processing (NSP), a new technology is proposed to decouple range, time and Doppler and then achieve range profile of target with micro-motion. The new technology uses a new synthetic wide-band waveform and has an innovative mathematic interpretation. Statistical properties of the new approach are primarily examined. Typical models of target with micro-motion for high resolution radar are presented. Monte Carlo simulations demonstrate the performance of the new technology and the simulation results confirm our expectations. It is a challenge to reconstruct a clear range profile of a target with micro-motion. Therefore, it is a challenge to reconstruct a clear range profile of a target with micro-motion. Therefore, it is a challenge to reconstruct a clear range profile of a target with micro-motion. to eliminate the distortion of range profile caused by Doppler effect, because it is difficult to accurately estimate each scattering center velocity during coherent processing interval. Based on nonuniform stretch processing (NSP), a new technology is proposed to decouple range, time and Doppler and The new technology uses a new synthetic wide-band waveform and has an innovative mathematic interpretation. Statistical properties of the new approach are examined examined. Typical models of target with micro-motion for high resolution radar are presented. Monte Carlo simulations demonstrate the performance of the new technology and the simulation results confi rm our expectations.