A sparse signal reconstruction perspective for direction-Of-arrive estimation with a distributed polarization sensitive array

This paper deal with the problem of direction-of-arrival (DOA) estimation with a polarization sensitive array. The proposed DOA estimation method is based on a sparse representation of polarization sensor measurements with an overcomplete basis composed of samples from the polarization sensitive array manifold. It enforces sparsity by ¿1-norm to obtain a sharp amplitude estimate of the sparse solution vector that exhibits better resolution. There are two main steps considered about our associated sparse constrained algorithm: searching the sparsest solution of the matrix equation; and finding the DOA by calculating non-zero elements location of the sparsest solution. The obtained performance gain includes improved robustness to noise and the reduced computation complexity. We demonstrate the effectiveness of the method on simulated data by plots of amplitude values and by computing the estimator error.