Ensimag Rubrique Formation 2022

Numerical data management - 4MMAFCD6

  • Number of hours

    • Lectures 16.5
    • Projects -
    • Tutorials 12.0
    • Internship -
    • Laboratory works 4.5
    • Written tests -


    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.




11 courses, 8 practical sessions, 3 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 courses).
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, transfer 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.

    • MCC Présentiel **

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


The course exists in the following branches:

  • Curriculum - Math. Modelling, Image & Simulation - Semester 7
see the course schedule for 2023-2024

Additional Information

Course ID : 4MMAFCD6
Course language(s): FR

The course is attached to the following structures:

You can find this course among all other courses.


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