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Due to the 2-D vacancies with serious motion errors when processing 10 GHz ultra-wideband microwave photonic-based SAR, current motion error estimation methods directly estimating with phase error can not obtain correct estimation result in this paper. An ultra-high resolution SAR motion error estimation method jointing envelope and phase is proposed, which can realize accurate estimation of motion error without inertial information. Firstly, the approximate 3-D motion error is obtained by applying the Least Squares Algorithm (LSA) and the Gradient Descent Algorithm (GDA) to the envelope information extracted by the Range Alignment Algorithm (RAA) before Range Curve Migration Correction (RCMC). Then, phase-based motion error estimation is performed on the data after rough compensation and RCMC. After eliminating the azimuth variant phase error, the 2-D space-variant phase error estimation …