EU Information, Signal and Digital communications - 4PUIISCN

Goal(s)

Introduction to information theory and random signal processing, followed by the fundamentals of digital communications, which enable the transmission of a ‘digital’ (or digitized) information source through a physical analog medium" (the physical layer of telecommunications).

Content(s)

The first part of the course (4 lectures and 2 exercices session) is a brief introduction to the fundamental results of Information Theory (Entropy, Mutual Information, Kullback-Leibler Divergence, Application to Source Coding/Compression, Channel Capacity, and Maximum Information Rate) and Random Signal Theory (Stationarity and Ergodism, Energy Properties, Correlations and Spectra, Filtering Relation, White Noise). These will serve as prerequisites (and tables) for the second part of the course, as well as for other Seoc courses (Machine Learning/AI, etc.).

The second part of the course (7 lectures, 5 exercices sessions, 8 hours of labwork/project) presents the fundamental elements of Digital Communications (Telecom Physical Layer) through a Gaussian Additive White Noise channel. The course draws on the results of Information Theory (channel capacity) to point achievable limits (particularly in terms of spectral efficiency versus energy efficiency), and to position common baseband modulation techniques (orthogonal dictionary modulations such as PPM, FSK, and linear PAM modulations) and carrier frequency modulations (QAM, PSK, etc.). The course covers occupied bandwidths via the power spectral densities of the modulations, optimal transmission (minimum Euclidean distance receivers and Maximum Likelihood) and especially for linear modulations (linear imposed structure receiver, matched filter/correlator, Intersymbol Interference and Nyquist free-ISI criterion, minimum bandwidth, etc.), and performance in terms of Bit Error Rate. We will also briefly present at the end applications where these techniques or their extensions (such as CDMA and OFDM) appear in current radio systems (mobile telephony, Wi-Fi, satellite telecom or geolocation, connected objects). The course will be illustrated by a series of exercices sessions and a practical labwork project (design of a communication chain using Matlab simulation).

Basic course in signal processing (covering deterministic analog signal processing and sampling)

Test

Additional Information

Bibliography

Introduction aux Communications Numériques, A. Glavieux et M. Joindot, Dunod, 2007
Digital Communications, John G. Proakis, McGraw-Hill Higher Education, 5th edition, 2008
Digital Communications Systems, S. Haykin, Wiley, 2013.
Théorie et Traitement des Signaux, Frédéric de COULON, presses Polytechniques Romandes, 5°édition, 1998
Elements of Information Theory, T.M. Cover, J.A. Thomas, Wiley & Sons, 2nd edition, 2006.
Théorie de l’information : application aux techniques de communication, Gérard Battail, collection pédagogique de Télécom., MASSON, 1997