A New Iterative Estimation Procedure for the Localization of Passive Stationary Objects from Received RF Signals in Indoor Environments

This paper deals with the localization of passive stationary objects from the received radio- frequency (RF) signals in 3-dimensional (3D) indoor environments. Each object located in the 3D indoor environment is modelled by a single point scatterer. The propagation space is equipped with a multiple-input multiple-output (MIMO) wireless communication system. The employed channel model is flexible and allows to have a line-of-sight (LOS) component as well as single- and double- bounce scattering components. Here, we present a new accurate iterative estimation technique for computing the optimal coordinates as well as the number of the main stationary objects (scatterers) in indoor areas. The proposed approach aims at matching the frequency correlation function (FCF) of the transfer function (TF) of the received RF signals to the FCF of the channel model. This iterative procedure is based on numerical optimization techniques to estimate the number and coordinates of the scatterers and the channel parameters by minimizing the Euclidean norm of the fitting error. Numerical results are presented to confirm the accuracy of the proposed estimation procedure by comparing the estimated positions as well as the resulting FCF with the corresponding exact quantities, known from generated RF signals.