Abstract: The anti-jamming performance of unmanned aerial vehicles (UAV) synthetic aperture radar (SAR) is an important factor, which determines whether it can adapt to the modern battlefield environment. In order to improve the anti-jamming performance of SAR, a new noise SAR system with random variable PRF and pulse width is proposed in this paper. Firstly, the imaging model is established, and then the imaging algorithm of the system is derived. Secondly, the realization methods of random PRF and random pulse width are analyzed. Finally, the traditional SAR system for transmitting LFM signals and the noise SAR system with random variable PRF and pulse width are respectively simulated under the repeater jamming, and the comparison of their imaging performance demonstrate that the proposed noise SAR system has better anti-jamming performance.