| KEYWORD |
Determinantal point processes in the information-theoretic characterization of multiantenna radio communications
keywords CHANNEL CAPACITY, COULOMB GAS, RANDOM MATRICES
Reference persons LAMBERTO RONDONI
External reference persons Giuseppa Alfano
Research Groups Metodi e modelli matematici per sistemi complessi
Thesis type RESEARCH
Description Widely adopted stochastic models of multiantenna channels lead to the computation of the mutual information thereof in terms of a linear statistics of channel eigenvalues, in turn jointly distributed according to a determinantal point process.
This thesis will focus on the Muttalib-Borodin determinantal process, suitable for representing multiple progressive scattering, arising as signal wavelengths decrease.
References:
Living at the Edge: A Large Deviations Approach to the Outage MIMO Capacity Pavlos Kazakopoulos, Panayotis Mertikopoulos, Aris L. Moustakas and Giuseppe Caire, IEEE Transactions on Information Theory April 2011 https://ieeexplore.ieee.org/document/5730574
Muttalib–Borodin ensembles in random matrix theory — realisations and correlation functions Peter J. Forrester, Dong Wang Electron. J. Probab. 22: 1-43 (2017). DOI: 10.1214/17-EJP62
Required skills Bachelor level mathematics and physics
Deadline 06/10/2025
PROPONI LA TUA CANDIDATURA