Parallel VLSI matrix pencil algorithm for high resolution directionfinding

Algorithms to find the directions of arrival (DOAs) of multiple signals from measurements on an array of antenna doublets (ESPRIT method) and their parallel VLSI implementation are discussed. In particular, algorithms that allow large-scale pipelining and use only robust, unitary transformations are identified. This problem is solved by a matrix pencil approach in which the generalized eigenvalues of a pair of data matrices are determined. A modified Stewart Jacobi approach is used for which convergence is improved and parameter computations are simplified. The resulting architecture is a two-layer Jacobi array that can handle all the subproblems: two QR factorizations, two SVDs, and a single generalized Schur decomposition. The mapping of the subproblems on a single parallel array of CORDIC processors is considered