On information rates of the fading Wyner cellular model via the thouless formula for the strip
IEEE Transactions on Information Theory
Fading channels: information-theoretic and communications aspects
IEEE Transactions on Information Theory
Sum Rate Characterization of Joint Multiple Cell-Site Processing
IEEE Transactions on Information Theory
Information theoretic aspects of users' activity in a Wyner-like cellular model
IEEE Transactions on Information Theory
On information rates of the fading Wyner cellular model via the thouless formula for the strip
IEEE Transactions on Information Theory
Multi-cell MIMO cooperative networks: a new look at interference
IEEE Journal on Selected Areas in Communications - Special issue on cooperative communications in MIMO cellular networks
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We apply the theory of products of random matrices to the analysis of multi-user communication channels similar to the Wyner model, which are characterized by short-range intra-cell broadcasting. We study fluctuations of the per-cell sum-rate capacity in the non-ergodic regime and provide results of the type of the central limit theorem (CLT) and large deviations (LD). Our results show that CLT fluctuations of the per-cell sum-rate C m are of order $$ 1/\sqrt m $$, where m is the number of cells, whereas they are of order 1/m in classical random matrix theory. We also show an LD regime of the form P(|C m − C| ɛ) ≤ e −mα with α = α(ɛ) 0 and C = $$ \mathop {\lim }\limits_{m \to \infty } $$ C m , as opposed to the rate $$ e^{ - m^2 \alpha } $$ in classical random matrix theory.