Interpolation technique for direction of arrival (DOA) estimation using a transformation matrix through singular value decomposition

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