A mathematical formulation for MIMO channel map

Channel map has been widely used as an effective tool in network planning and deployment. However, there is a lack of mathematical formulation of the channel map as a tool for multiple-input multiple-output (MIMO) networks planning. In this work, we define and construct a MIMO channel map based on the extension of a mathematical formulation for the conventional single antenna channel map. We demonstrate the effectiveness of the constructed MIMO channel map in planning a distributed MIMO channel network through a numerical example. The results show that location optimisation in distributed MIMO systems gains significantly from an abstract formulation of the channel map.