ISAR Imaging of Targets Exhibiting Micromotion Under the Joint Constraints of Low SNR and Sparse Rate

To solve the problem of the defocusing of inverse synthetic aperture radar (ISAR) image of targets exhibiting micromotion under the joint constraints of low signal-to-noise ratio (SNR) and sparse rate, this article proposes a method based on the joint constraints of noise and prior information of target. We use the l(2) norm to eliminate the noise, and constrain prior information of target (low rank and sparsity) by using nuclear norm and l1 norm. On this basis, we deduce the solution of this problem according to the linear alternating direction method of multipliers. Finally, the proposed method is verified by simulated and measured data. The results showthat the proposed method can achieve good focus on the ISAR image of targets exhibitingmicromotion under the joint constraints of low SNR and sparse rate, and is much more robust than the traditional methods.