1st Master in Industrial sciences (2nd cycle-Industrial Engineers) Computer Science

Mathematics

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ECTS Credits4
Number of Hours (h/year)45
Teaching staffFOURNEAU, Rene
Course UnitCompulsory
TermQuad. 1
CodeTECH-IINF0009/1
Prerequisite

Several real variables calculus. Probabilities and statistics.

Aims and Objectives

After this course, the students will have a good command of the mathematical tools used in signal analysis and transmission, as well as the basics of information theory and data compression.

Description

Discrete signals, including images. Fourier series: point wise and energy-wise convergence, orthonormal families. Wavelets and JPEG2000.

Fourier transforms: summary of known facts, discrete and fast transforms.

Generalized functions: short presentation.

Random processes

Basics of information theory.

Queuing theory.

Data compression: loss less compression, compression with loss, JPEG. Elements of wavelets theory.

Bibliography

Stallings W., High-speed networks, TCP/IP and ATM design principles, Prentice Hall, Upper Saddle River, 1998.

Teaching and Learning MethodsLectures
Assessment MethodsOral examinations
NotesYes
LanguageFrench

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