Capacity bounds for the CDMA system and a neural network: a moderate deviations approach

Matthias Löwe (1) , Franck Vermet (2)

1 FB 10 - Fachbereich Mathematik und Informatik [Münster] = Fachbereich Mathematik und Informatik [Münster]
2 LM - Laboratoire de mathématiques de Brest

We study two systems that are based on sums of weakly dependent Bernoulli random variables that take values 1 with equal probabilities. We show that already one step of the so-called soft decision parallel interference cancellation, used in the third generation of mobile telecommunication CDMA, is able to considerably increase the number of users such a system can host. We also consider a variant of the well-known Hopfield model of neural networks. We show that this variant proposed by Amari and Yanai [CITE] has a larger storage capacity than the original model. Both situations lead to the question of the moderate deviations behavior of a sum of weakly dependent Bernoulli random variables. We prove a moderate deviations principle for such a sum on the appropriate scale.

Mots clés: Mathematics

Domaines: Mathématiques [math]

Matthias Löwe, Franck Vermet. Capacity bounds for the CDMA system and a neural network: a moderate deviations approach. ESAIM: Probability and Statistics, 2009, 13, pp.343-362. ⟨10.1051/ps:2008016⟩. ⟨hal-00504652⟩