Beamforming solvability in 3D space using active scattering devices

Most multiple-input multiple-output (MIMO) wireless communication systems currently rely on probabilistic or stochastic channel models. However, in this paper we will describe a deterministic approach to the channel model in order to beam form an indoor signal from multiple transmitters to a single receiver in a group with the non-receiving elements effectively receiving noise only. The use of Composited Transfer Functions (CTF) with the channel state information (CSI) in a deterministic approach allows for precise multipath path loss calculations that permit for the generation of orthogonal beams at specific receiving elements. Frequency reuse is possible such that only the specified device is receiving signals and allows for multiple users to transmit and receive data on a single frequency. We show that through the additional use of active gain scattering devices, optimizer solvability increases and allows for larger areas and more diverse geometries of transmit and receiving elements. The capabilities and effectiveness of our deterministic beamforming approach with and without the use of active scatterers are discussed in this paper.