Information geometric optimal reconfiguration of pulse-Doppler sensor parameters

• Published in: Journal of mathematical analysis and applications 2024-02, Vol.530 (1), p.127669, Article 127669
• Main Authors: Marshall, Anthony, Williams, Simon, Bottema, Murk J.
• Format: Article
• Language: English
• Subjects: Fisher metric; Information geometry; Integrals of sinc products; Pulse-Doppler; Sensor scheduling
• ISSN: 0022-247X; 1096-0813
• DOI: 10.1016/j.jmaa.2023.127669

The objective of this paper is to provide the mathematics needed to develop a new model for continuously adjusting the configuration parameters of a pulse-Doppler sensor so as to optimize information gain. The reconfiguration of the sensor parameters is optimal in the sense that the parameters are updated over time so as to traverse a geodesic over a parameter manifold. The main result is to compute the Fisher information metric for measuring the instantaneous information gained by a sensor regarding the target. In pursuing this goal, a method for evaluating a class of integrals comprising products of shifted sinc functions and derivatives of such functions is presented. Expressions are also found to allow estimates of the number of terms needed to evaluate the infinite series representation of the Fisher metric to within a given tolerance. Finally, steps for computing geodesics in the configuration manifold are provided. •Reconfiguration of sensor parameters is optimised with respect to information gain.•Infinite series representations of the Fisher metric are derived.•Optimal reconfiguration strategies are geodesics in a suitable manifold.•Formulae for integrals of products of shifted sinc functions and derivates.