Direction of arrival (DOA) estimation using a transformation matrix through singular value decomposition

In this paper we present how we choose the proper number of virtual array elements from the real array for direction of arrival (DOA) estimation using a conformal hemispherical real array and a single snapshot of the data. The number of virtual array is achieved by using singular value decomposition (SVD) of a real array manifold and the concept of the interpolation techniques. Then, the transformation matrix is generated from both the virtual array manifold and the real array manifold. A numerical simulation has been made to illustrate of the proposed approach. We estimate direction of arrival (DOA) of signals using the matrix pencil method.