This paper discusses anti-deceptive jamming methods based on single-channel and fixed waveform assumptions for synthetic aperture radar imaging. Using the essential defects of the deceptive-jamming theory, the information acquisition ability of the Synthetic Aperture Radar (SAR) system in a complicated electromagnetic environment is effectively improved with limited degrees of freedom in spatial and time domains. Geometric and signal models of SAR imaging and deceptive jamming are established and the different characteristics between them are analyzed according to their working mechanisms. Upon extracting their characteristic differences via different imaging processes and enhancing them based on statistical information, the degree of separation between the true and false targets is increased. Therefore, identification on the deceptive jamming is realized. Moreover, an approach for the dynamic synthetic aperture is used to formulate an optimization problem for the reconstruction of true and false targets. By solving such a problem, the true and false targets are separately reconstructed with super-resolution, achieving the goal of deceptive-jamming suppression. The effectiveness of the proposed methods is verified by simulations.