A log-penalty-based method for multi-parameters estimation with partly calibrated COLD array

In this paper, we focus on the problem of joint estimation of DOA, power and polarization angle from sparse reconstruction perspective with array gain-phase errors, where a partly calibrated cocentered orthogonal loop and dipole (COLD) array is utilized. In detailed implementations, we first combine the output of loop and dipole in second-order statistics domain to receive the source signals completely, and then we use continuous multiplication operator to achieve gain-phase errors calibration. After compensating the gain-phase errors, we construct a log-penalty-based optimization problem to approximate ℓ
0
norm and further exploit difference of convex (DC) functions decomposition to achieve DOA. With the aid of the estimated DOAs, the power and polarization angle estimation are obtained by the least squares (LS) method. By conducting numerical simulations, we show the effectiveness and superiorities of the proposed method.