An unconstrained partitioned realization for derivative constrained broad-band antenna array processors

This paper presents an orthogonal decomposition approach for realizing the derivative constrained broad-band processor as an unconstrained partitioned form. The structure presented is similar to the generalized sidelobe canceller (GSC) structure described in the literature. Furthermore, the paper also examines the components of the unconstrained partitioned structure for the first-order case in detail by using a singular value decomposition (SVD) of the constraint matrix. It is shown for an arbitrary array that for the first-order case, the fixed section is a conventional beamformer.