In this article a method of optimizing wireless communication systems using multiple antennas is presented. This method focuses on the synthesis of antenna radiation patterns that are optimized in terms of mutual information, taking into account the specific limitations of the antenna design, such as the available space (for the antenna structure), polarization, number and arrangement of the antennas. Multiple-input-multiple-output (MIMO) antenna systems have the potential to increase the mutual information of wireless communication, through additional antennas, hence more channels and hardware. In contrast to the antennas, which are usually quite inexpensive, the size, complexity and price of the front-ends scale with the number of antennas. Accordingly, it is of interest for commercial applications, to use as few system inputs and outputs as possible to reduce the hardware for cost saving. The performance of a MIMO-antenna system is a direct result of the channel transfer matrix H, which in turn depends on the propagation environment and the antennas. Since the environment usually cannot be changed, the choice of antennas is crucial for the overall system behavior. The antennas determine inherently the correlation between the transmission coefficients of the channel matrix and, consequently, the mutual information of the system. The number of degrees of freedom (NDF) in the antenna design are: the spatial separation of the antennas, their polarization and their respective complex directional characteristics. The interaction of the propagation environment with the antennas and the high NDFs make the development of such a system especially time-consuming and expensive. This is the reason why, in most cases, a heuristic approach is used. This means that a certain antenna configuration is chosen based on general assumptions about the propagation environment, knowing that by doing so it is not guaranteed whether this choice increases the potential mutual information or not. Afterwards a prototype set-up with several possible combinations and a subsequent verification by measurements is omitted typically due to cost and time constraints. In contrast to the heuristic approach, our proposal includes full consideration of the propagation environment. The simulations performed during the proposed antenna synthesis method are reproducible and we can expect a resulting antenna system that is optimized in terms of mutual information in time variant mobile channels. Our promise is that this will allow the use of MIMO systems in industrial applications which are (typically) not realizable due to cost and space reasons and due to the high complexity. The basic idea behind the synthesis presented in this article is to optimize antenna systems by using channel knowledge already in the design process of the system. This enables us to determine fixed directional patterns that are optimized in terms of mutual information for any given set of constraints such as the number of antennas, their geometrical sizes and/or their polarization. By doing so hardware costs can be reduced since a system with fewer but more optimized antennas may have the same performance as a heuristically designed system with multiple antennas.
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