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Complex motions such a 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 tics 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 rader are presented. Monte Carlo simulations demonstrate the performance of the new technology and the simulation result confirm our expecta...

Micro-motion such vibration and rotation induces unique phase modulation or Doppler modulation and offers a new way of characterizing objects. When multiple vibration/rotation targets detection and identification are considered, the echo signal is multi-component sinusoidal modulation signal. So far multi-target resolution is still a major challenge facing radar signal processing community. In this paper, A new conception, multi-target Micro-Doppler is introduced, and then B-distribution (BD) is applied to implement micro-motion target resolution (MMTR). Based on multi-target micro-Doppler, a complete scheme is presented for micro-motion target resolution. BD for resolving multiple vibration/rotation targets is demonstrated with synthetic data, and simulation results confirm our expectations.