Ranking and selection theory is applied to the eigenvalue problem. Of concern is the development of a procedure for computing the number of signals in a measurement data vector. In the authors' approach, the multiplicity of the noise eigenvalue is computed, and used in calculating the number of non-noise (signal) eigenvalues.

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Wireless tomography, a novel approach to remote sensing, is proposed in Part I of this series. The methodology, literature review, related work, and system engineering are presented. Concrete algorithms and hardware platforms are implemented to demonstrate this concept. Self-cohering tomography is studied in depth. More research will be reported, following this initiative.

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