Trajectory Optimization of Sparse LASAR 3-D SAR Via Lagrange Multiplier Method

This paper discusses the antenna phase centre trajectory (APCT) design for the sparse linear array 3-D imaging SAR(LASAR). Firstly, we introduce the signal model of the sparse LASAR. Based on the model, we discuss the 3-D ambiguity function (AF) of the sparse LASAR, and reveal the relationship between the 3-D AF and the system parameters. Finally, the distribution of the pseudo-random APCF is optimized by the Lagrange multiplier method under the minimum variance criterion, and we find that when the pseudo random APCF obeys the parabolic distribution, the cross-range 2-D AF attains optimal, which has both good mainlobe and sidelobe performance.