Stochastic Systems and Communications

Signal taxonomy. Fourier series expansion and Fourier transform of signals. Numerical computation of Fourier transform, Fast Fourier Transform. Transmission through linear systems.Ideal low-pass filters. Hilbert transform. Band-pass signals and systems. Stochastic processes. Stationary signals, moments, correlations and covariance functions. Time averages and ergodicity. Transmission through linear systems. Power density spectrum. Gaussian random process. Noise: Shot noise, thermal noise, white noise, equivalent noise bandwidth. Narrowband noise.

Mobile Personal Communications

Structure and role of wireless and mobile communication networks, Resource allocation in wireless networks. Network architecture and functionalities. Quality of Service requirements and provisioning. Traffic modelling, analysis and engineering. Call admission control, flow control, mobility management, resource management, channel assignment, power control. Analysis and evaluation of resource allocation algorithms. Design of cellular systems and system capacity planning and management. Pricing in mobile and cellular systems. Mobile ad-hoc networks. Dynamic spectrum allocation.



Queuing Theory & Applications

The course aims at introducing students to methodologies in modeling and performance evaluation for Internet based communication networks and computer systems. The emphasis is on the analysis of such systems as simple queuing models, complemented by simulation techniques. The course material includes:

  • Overview of probability theory with emphasis on memory-less probability distributions (Poisson and exponential distributions).
  • Definitions of Markov stochastic processes, ergodicity.
  • Definitions and basic models of queuing systems. Arrival processes, departure processes, queue state, steady-state behavior, steady-state probabilities, utilization, average queue size and delay, Little’s formula, throughput, blocking probability.
  • Birth – death processes and applications in simple Markov queuing systems (M/M/1, M/M/1/K, M/M/N, M/M/N/N, state dependent queues). Open and closed networks of queues, Burke’s theorem, Jackson’s theorem, Gordon/Newell theorem.
  • Applications in performance evaluation of data networks, telephone networks and computer systems.

Self-organizing Ad hoc Networks

Characteristics and design challenges in mobile ad-hoc and sensor networks. Architecture of variable topology networks and self-organizing properties. Proactive and reactive routing methodologies in ad-hoc networks. Multicasting and broadcasting. Data monitoring, gathering and aggregation in sensor networks. Energy management and power aware protocols. Quality of service provisioning. Group and individual mobility models. Applications of mobile ad-hoc and sensor networks.