Multiprobe microwave multimeter signals iterative processing

The multiprobe multimeter are used on the Internet of things, telecommunications and medicine, so there is great interest in them. The hardware is more or less constant, and improvement is possible in the field of signal processing algorithms. Studying and modeling showed a good result when using Kalman filter sensors signals processing. However, when implementing the Kalman filtering algorithm, the problem of computing the inverse matrix is arised. It is well known that there are systems of linear algebraic equations of the second kind, the solution of which is carried out without matrix inversion. This allows, firstly, to apply the approach to solving the system of linear equations that are used as a model of a multiprobe microwave multimeter, without redundancy. In this case, a transition from a system of linear equations of the first kind to a system of equations of the second kind is made. Secondly, using the acquired experience, it is possible to develop a technique and implement it for calculations of the inverse matrix in the Kalman filter.