This report summarizes the results of the initial phase of a comprehensive simulation study of alternative signal processing algorithms for data adaptive superresolution direction finding and spatial nulling to support signal copy in the presence of strong cochannel interference. The need for such a study arises because, although most of the techniques evaluated have been documented in the literature, no systematic comparison has heretofore been undertaken. The general approach of the current study is to simulate a sequence of increasingly more general, i.e, realistic, signaling environments, and to expose each of the more promising algorithms to all of the "standardized" experiments, in turn. For the initial phase of the inquiry, we have selected an ideal environment characterized by a uniform, linear array of identical isotropic elements and perfect receivers. In addition, partial results are obtained for the case when the array steering vectors are in error by a small amount which might be caused by residual calibration errors, unmodeled multipath distortions, near-field emitters, etc.