Sequential optimal positioning of mobile sensors using mutual information

• Published in: Statistical analysis and data mining Vol. 12; no. 6; pp. 465 - 478
• Main Authors: Schmidt, Kathleen, Smith, Ralph C., Hite, Jason, Mattingly, John, Azmy, Yousry, Rajan, Deepak, Goldhahn, Ryan
• Format: Journal Article
• Language: English
• Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.12.2019; Wiley Subscription Services, Inc; Wiley Blackwell (John Wiley & Sons)
• Subjects: Bayesian inference; Entropy (Information theory); inverse problem; Inverse problems; mutual information; Optimization; Parameter estimation; Position sensing; sensor placement; Sensors; source localization; Urban areas
• ISSN: 1932-1864; 1932-1872
• DOI: 10.1002/sam.11431

Source localization, such as detecting a nuclear source in an urban area or ascertaining the origin of a chemical plume, is generally regarded as a well‐documented inverse problem; however, optimally placing sensors to collect data for such problems is a more challenging task. In particular, optimal sensor placement—that is, measurement locations resulting in the least uncertainty in the estimated source parameters—depends on the location of the source, which is typically unknown a priori. Mobile sensors are advantageous because they have the flexibility to adapt to any given source position. While most mobile sensor strategies designate a trajectory for sensor movement, we instead employ mutual information, based on Shannon entropy, to choose the next measurement location from a discrete set of design conditions.