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Prométhée Spathis
Head of the CNI program at SU

courriel :



Digital Communication

/ Signal and Communication


Person Responsible for Module (Name, Mail address):

Sébastien BAEY,

Credit Points (ECTS): 6 Module-ID: MU4INX06
University: Sorbonne Université Department: Master Informatique

Prerequisites for Participation

First year basic knowledge in mathematics: derivation, integration, probability. Reminders of the necessary knowledge in mathematics will also be given during the course.

Intended Learning Outcomes

Students who have successfully finished this module will be able to :

  • master the basics of deterministic signal processing;
  • know the classical signal models;
  • compute the output of a linear time invariant system in the time-domain using convolution;
  • interpret the Fourier transform of a signal;
  • compute the Fourier transform of classical signals;
  • master the concept of frequency-domain representation of a signal;
  • understand the fundamentals of systems design;
  • master the basics of random signal processing;
  • know the fundamental blocks of a digital transmission system;
  • understand the principles of a digital communication;
  • model and evaluate the performance of classical digital transmission systems;
  • understand the main parameters and challenges in the design of a digital communication system.


The course has the objective of providing the tools that are necessary for analyzing, modeling and designing digital transmission systems. The first part of the course focuses on the necessary bases in deterministic and random signal processing: continuous-time and discrete-time signals, energy aspects, linear time invariant systems, Fourier transforms, frequency domain analysis of signals and systems, fundamentals of random signals, computation of the power spectral density of a digital signal. The rest of the course shows their application to the physical layer of digital communication systems. It first presents the architecture of a digital transmission system, the main purpose of each of the building blocks and the principles of a digital transmission. The course then shows how to model and evaluate the performance of a digital communication system and optimize its performances in the design process. A constant effort is made throughout the course to link the signal processing models and the physical phenomena observed in a real communication system.

Teaching and Learning Methods

  • 2h weekly hours lecture
  • 4h weekly hours integrated interactive tutorials (problem solving, assignments discussion, lab sessions)

Assessment and Grading Procedures

Mid-term written exam (40%), and Final written exam (60%). A makeup exam will be organized for those who failed the first session.

Workload calculation (contact hours, homework, exam preparation,..)

  • 6h weekly contact hours x 10 weeks = 60 h
  • 6h weekly hours preparation and afterwork x 10 weeks = 60 h
  • Exams preparation: 30 h
  • Total: 150 h

Frequency and dates

Offered every Fall semester:

  • Classes start mid-September and end mid-December;
  • Mid-semester exam around beginning of November;
  • Final exam at the beginning of January;
  • Makeup exam for those who failed the first session in June.

Max. Number of Participants


Enrolment Procedures

Request to the head of CNI program.

Recommended Reading, Course Material

  • H. Hsu, Schaum’s Outline of Theory and Problems of Signals and Systems, McGraw-Hill, New York, 1995.
  • J. G. Proakis, Digital Communications. McGraw-Hill, 2nd Edition, 1989.
  • J. G. Proakis, M. Salehi, Communication Systems Engineering. Prentice Hall, fifth Edition, 2008.
  • R. G. Gallager, Principles of Digital Communications, Cambridge University Press, 2018.