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In this paper 1, the use of adaptive weights over the radar measurement dimensions of pulse time, antenna receive element, and wideband frequency is extended to cover a much broader range of radar detection problems than was supposed in the original formulation of spacetime adaptive signal processing (STAP). These problems include, among others (1) Adaptive beamforming in three dimensions; (2) Detection and 3D ISAR imaging of targets in general torque-free motion immersed in a field of tumbling clutter dipoles; (3) Detection of moving targets in stationary clutter using all three components of velocity and all three components of position; (4) Discrimination of accelerating targets from uniformly moving targets and stationary clutter; and (5) Adaptive signal processing with distributed and moving array elements. The unifying thread among these applications is the use of adaptive weights over the measured radar data to enhance scatterers that follow one class of paths while suppressing scatterers that follow paths not in that class. Applications (1) and (2) above are treated as examples., See also ADM002187. Presented at the Army Science Conference (26th) held in Orlando, Florida on 1-4 December 2008. Published in the Proceedings of the Army Science Conference (26th), 2008.