HRRP synthesizing in presence of observation data loss: A new way

A high-resolution range profile (HRRP) is the phasor sum of the time returns from different scatters on the target located within a resolution cell. In this paper, based on geometrical theory of diffraction (GTD) model, we analysis the whole process using traditional inverse discrete Fourier transform method (IDFT) to synthesis HRRP firstly. After that basis pursuit (BP), to obtain HRRP based on GTD model, is presented, which takes advantage of the fact that target HRRP is sparse in radar range window, so we can also obtain the synthesised range profile (SRP) correctly in presence of observation data loss. Compared with IDFT method, the SRP using sparsity as a prior (namely, using BP method) has higher resolution, lower sidelobe level and more robust to incomplete measurement data HRRP. Meanwhile, to avoid computational complexity in BP, we also presents greedy algorithm named Orthogonal Matching Pursuit (OMP) for approximating the solution of BP. Both theoretical analysis and simulation experiments illustrate the advantage of proposed method.