Telecoms: Information Theory & Network Modeling
This page brings together graduate-level lectures and research publications on the mathematical foundations of telecommunications: information theory, point processes and stochastic geometry, queueing theory, and the performance modeling of wireless cellular networks.
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Information Theory
Information Theory: Lectures on the foundations of information theory and coding, covering entropy, mutual information, source coding, channel coding, and MIMO channel capacity. Based on the book in preparation by Karray and Błaszczyszyn.
Point Processes
Point Processes: Lectures on random measures, point processes, and stochastic geometry, with applications to telecommunications network modeling. Based on the book Random Measures, Point Processes and Stochastic Geometry (Baccelli, Błaszczyszyn, Karray 2024).
Queueing Theory
Queueing Theory: Lectures on Markov chains (discrete and continuous time), fundamental queues, Whittle networks, quasi-reversibility, insensitivity, and generalized semi-Markov processes. Includes exercises with solutions.
Wireless Networks
Wireless Networks: Research publications on the performance analysis of cellular networks, including resource allocation, quality of service (QoS) modeling, and dimensioning. Tools used: queueing theory, stochastic geometry, and simulation.
Last Updated on 23 mai 2026 by Mohamed Kadhem KARRAY
About This Domain
These resources address the mathematical modeling of telecommunications networks, with a particular focus on wireless cellular systems. The framework combines tools from information theory (capacity limits, coding), stochastic geometry (spatial modeling of nodes), queueing theory (temporal dynamics, service distribution), and statistical learning (data-driven QoS estimation).
This integrated approach enables the analytical study of cell loads, SINR distributions, blocking probabilities, throughput, and QoS metrics in large heterogeneous cellular networks. Applications cover OFDMA, MIMO, 4G, 5G, and future networks.
The material is intended for graduate students, doctoral researchers, and engineers in telecommunications and network performance evaluation, in collaboration between INRIA and Orange Labs.