1st Master in Industrial sciences (2nd cycle-Industrial Engineers) Computer Science
Mathematics
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ECTS Credits | 4 |
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Number of Hours (h/year) | 45 |
Teaching staff | FOURNEAU, Rene |
Course Unit | Compulsory |
Term | Quad. 1 |
Code | TECH-IINF0009/1 |
Prerequisite | Several real variables calculus. Probabilities and statistics. |
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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 Methods | Lectures |
Assessment Methods | Oral examinations |
Notes | Yes |
Language | French |
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