Aiming at the problem of micro-motion signal separation and micro-Doppler extraction of the precession target, a new method based on singular value decomposition (SVD) and joint approximate diagonalization of eigen-matrices (JADE) is proposed in this paper. Firstly, the micro-motion model of space precession target is established, and the micro-Doppler and scattering characteristics are analyzed to establish the echo signal model of the target. Secondly, through simplifying the signal model of scattering point and building the signal matrix of different signal lengths, the singular value ratio sequence is constructed by the method of SVD to estimate the precession period of the target. Thirdly, the singular vectors of different observation periods are extracted, the observation matrix is constructed, and then the JADE algorithm is adopted to separate the micro-motion signal of each scattering point. Finally, the clustering analysis is used to denoise the time-frequency graph and the centroid calculation is employed to extract the micro-Doppler of each scattering point. Simulation results show that this method of good robustness can effectively separate and extract the micro-Doppler of the scattering points. INDEX TERMS Micro-motion, singular value decomposition, joint approximate diagonalization of eigenmatrices, micro-Doppler extraction. XUGUANG XU was born in Xian, Shaanxi, China, in 1994. He received the B.S. degree in radar engineering in 2016 and received the M.S. degree in electronic science and engineering from Air Force Engineering University, Xi'an, China, in 2018, respectively, where he is currently pursuing the Ph.D. degree. His research interests include micro-motion signal processing and target recognition.