Estimation of nominal direction of arrival and angular spread using the determinant of the data matrix

In this paper, two complex nonlinear operators on a single snapshot data are used to estimate the parameters of a spatially distributed source. The nominal direction of arrival is estimated based on the space-invariant property of the modulus of one nonlinear operator. The angular spread is estimated by using the difference between the modulus of the two nonlinear operators. Unlike the previous estimators based on multi-dimensional searching or their low-complexity versions, the proposed method gives the closed-form estimation using a single snapshot data and the calculation of either multi-dimensional searching or eigenvalue decomposition is not necessary.