Femtocell self-organzation Keith Briggs 2013-12-19 (This project can interact with the other femtocell timeslot synchronization project which I am simultaneously proposing. The first three paragraphs of general background information are identical.) LTE is the technology currently being deployed for 4G wireless services. As well as providing the new generation of mobile phone services, its potential application to other areas is being investigated. A basic principle of LTE is the division of the two dimensions of frequency and time into so-called resource blocks (RB); a RB can be imagined as a rectangular unit capable of carrying a certain amount of data. In the time dimensions, RBs are 1 millisecond long. A possible application is to have a small LTE base-station ("femtocell") in every house, as a replacement for a wifi homehub. But there is a risk of interference, causing reductions in the data rate, and so various kinds of interference mitigation mechanisms are being considered. Roughly speaking, we want to achieve a self-organizating network (SON), in which each femtocell manages its own resource in response to its local environment, without any central planning or management. In mathematical terms, we have a complex system, with femtocells as nodes, and a graph with edges representing neighbour relationships. This project would use complex systems ideas, rather than specifics of the LTE technology (though some specifics cannot be ignored). Each femtocell can use a range of radio modulation schemes, dependent on the signal-to-interference ratio (SIR). As the SIR reduces, a more robust modulation scheme can be switched to, but this carries less data, so more RBs are needed in compensation. This means that more interference is caused to neighbours, and these neighbours in turn will have to react to maintain their data rate, for example by also using more RBs. So it is not obvious that the global dynamics of this process is stable; there might be a convergence to a fully-blocked state where no femtocell can transmit data. This this project would be to develop a formal model of this interaction of femtocells with neighbours, and either prove by analytical methods that it is stable, or demonstrate stability by computer simulation.