The National Imagery and Mapping Agency (NIMA) has a requirement to investigate, develop and solve the problems associated with the implementation of complex exponentials on an arbitrary surface in a multi-resolution setup to solve for a new Global Gravitational Model. In the course of investigation, develop all necessary tools both mathematical and theoretical, solve the estimation problem using complex exponentials employing a combination of gravity, satellite, and altimetry measurements. Develop an approach for error propagation within the multi-resolution model. Compare the results and approach with those via spherical harmonic models. Unclassified test data sets available to NIMA of gravity and altimetry measurements may be furnished to the contractor upon request. Contractor will be responsible for all equipment, information and materials necessary to accomplish the specific tasks of this requirement. The work will be accomplished in three distinct phases, each having a length of no more than three months, for a total time of nine months to complete all three phases: Phase I - Implementation of complex exponentials on an arbitrary surface in a multi-resolution setup. Contractor will perform experiments on band-limited data interpolation. Contractor shall, during this period, arrive at a complete mathematical formulation for all problems, set a path to their solution and identify the necessary software for all remaining tasks in this project. Phase II - The contractor shall implement the solver for the estimation problem, first for complex exponentials by itself and then in combination with other data sources. Phase III - Contractor shall compare their results to those obtained with spherical harmonic models and investigate the issue of error propagation. Contractor shall prepare a technical report detailing all findings, conclusions and recommendations on the best methodology to pursue. The technical report shall be submitted in softcopy on either a DOS formatted CD or 3.5 inch magnetic media disk. Report shall be written in either Microsoft Word 98 or later, Rich Text Format (.rtf) or in Portable Document Format (.pdf). NIMA intends to award this requirement to Raytheon TSC, subject to availability of funds.

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