Theoretical Foundations and Optimization of Millimeter Wave Ad Hoc Networks

This research studies the development of an informed decision-making rule to maximize environmental information obtained from a passive sensor equipped with an analog, planal array. It considers both the uncertainty of the number of signal sources and their locations, which could correspond to radar detection and tracking. A decision theoretic approach is proposed to maximize the quantity of information in an approximate or absolute sense, with approximation guarantees to motivate the solution method. This research was conducted at NC State University.

Sponsor

Principle Investigators

Robert Wendell Heath Jr

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Consider a passive sensor equipped with an analog, planar array with an objective of estimating the locations of an unknown number of signal sources. Over a fixed time window (divided in a sensing slots), we seek to select receiver designs from a predetermined codebook so as to maximize environmental information. Our research objectives are twofold. First, we develop an appropriate notion of informativeness that captures the inherent uncertainty in both the number of sources and the uncertainty in their locations. These two features may be thought of as corresponding to radar detection and tracking in the general setting. Second, given the formulation of informativeness, we propose a decision theoretic approach to maximize this quantity in either an approximate or absolute sense. In the approximate regime, we further establish approximation guarantees to motivate our solution method.