Ensimag Rubrique Formation 2022

Numerical data management

  • Number of hours

    • Lectures 18.0
    • Tutorials 10.5
    • Laboratory works 7.5


    ECTS 3.0


The objective of this course is two-fold: to provide a comprehensive view on ditributions and Hilbert spaces and then to investigate their use in signal processing.
This course will also contain practical sessions aiming at illustrating the theory with a particular focus on signal processing.

Contact Sylvain MEIGNEN


12 courses, 7 practical sessions, 5 sessions on computer

Distributions: convergence, differentiation, multiplication by a function, convolution (3 courses). Hilbert Analysis: Hilbert spaces, projection onto a closed convex set, Hilbert bases (3 cours).
Fourier Transform of Distributions: Reminder on the Fourier transform for functions, on convolution then introduction to the Fourier transform of the distributions
Signal Processing: Shannon Theorem, quantification, Discrete Fourier Transform,
correlation, windowed transforms. Other discrete bases.
Z-transform: Digital Filtering, impulse response, transfert function,,RIF and RII filters.


First year course on mathematical analysis


A final examination will take place and the final mark will also involve an evaluation of the
the practical sessions.

Examen à la fin du semestre (Note Exam), 3heures
TP (Note TP)
Note finale := (2*Note Exam+Note TP)/3

Examen deuxième session (Note Exam2)

Si examen deuxième session: Note Finale := (2*Note Exam2+Note TP)/3

Additional Information

Curriculum->MMIS.->Semester 3
Curriculum->Telecoms->Semester 3


Analyse de Fourier et applications, Editions Masson, Gasquet et Witomski