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Micro‐Doppler (m‐D) effect is caused by vibrations and/or rotations of mechanical components of moving targets. The m‐D signatures corresponding to such micro‐motions (m‐Ms) may significantly degrade the usefulness of synthetic aperture radar/inverse synthetic aperture radar (ISAR) imagery. The strong echo of the main body of a target can make the m‐D parameter estimation of the vibrating or rotating parts more difficult. The removal of m‐D effect from target's ISAR image is thus very important for realising high‐resolution imaging of a complex target involving m‐M parts. To treat this problem, the bivariate variational mode decomposition (BVMD) is proposed to get rid of the m‐D effect from the image of target's main body. The BVMD method first decomposes the radar echoes of range cells into a series of complex‐valued mode functions according to which m‐D signatures can be distinguished and removed …