Singular value decomposition-based method for solving a deterministic adaptive problem

A computational scheme based on the singular value decomposition (SVD) for a deterministic, data domain approach to the adaptive processing problem is presented. In the direct data domain approach, a single snapshot is considered for an assumed direction of arrival with unknown amplitude. This unknown signal strength is estimated on a snapshot by snapshot basis. The new SVD based method is compared with the QZ method for determining the generalized eigenvalues of a system. Their performance in estimating the strength of signals of interest in the presence of main beam jammers, clutter, and thermal noise is considered. Limited examples have been presented to illustrate the two methods.