Mathematical Model and Software Architecture for the Solution of Inverse Problems Involving Sensor Arrays

This paper presents a mathematical model and partitioning for a software system for the solution of inverse problems involving arrays of sensors. Handling the data from the array of sensors as vectors and matrices, while defining the inverse problem as a least squares computation with linear constraints, leads naturally to the use of matrix algebra for the solution of the system of equations. The matrix algebra is also well suited for the use of automatic code generation to support the rapid development of embedded code. The full functionality of the proposed methods was demonstrated with an inclinometer based system for the monitoring of structural deformation.