The increasing demand for high information rates has helped create a revolution in wireless and optical communications. Therefore it is important to know the limits of information transfer rates for such telecommunications systems, taking into account the complexities appearing in realistic propagating media. Such complexities include randomness in the propagation coefficients of wireless systems and non-linearities in the index of refraction of optical fibre communications. This project will address these problems by taking advantage of the similarities to systems analysed in solid- state physics. This will be done using methods and concepts developed originally in the field of statistical mechanics, such as random matrix theory and replicas.
One goal is to calculate the information capacity for wideband multi-antenna wireless systems with general scattering environments. Channel coefficients with Gaussian statistics with arbitrary correlations, as well as general non-Gaussian channels will be analysed. The second goal is to quantify the information capacity for optical fibre communications taking into account the non-linearities in the index of refraction. Methods from random matrix theory and integrable systems will be employed.
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