Beamforming towards regions of interest for multi-site mobile networks

We show how a beamforming technique for analytical spatial filtering, called Flexibeam, can be applied to mobile phone mast broadcasting so as to result in concentrations of power where most devices are. To that end, Flexibeam is interpreted as transmission beamforming. An analytically described radiation pattern is extended from a sphere to Euclidean space. A continuous beamforming function is then obtained by the Fourier transform of the extended radiation pattern. We then show how a Gaussian filter can be approximately achieved using beamforming. The method is then expanded by means of an example of a collection of mobile phone masts covering an area of Zurich city so as to concentrate energy where devices are concentrated.