Mathematics for acoustics 1

Course information

 ECTS: 3

 Common with the master in Acoustics

 Course code : 167EN046

 Lecture: 15h

 Tutorial classes: 15h

 Practical work: none

Course coordinator : Olivier Dazel

Course Description

Aim

The aim of this course is to present mathematical notions for the resolution of acoustical problems and signal processing. It is divided in lectures and exercises;

Prerequisite

Mathematics refresh

Contents

Projection techniques on orthogonal bases.
Advanced matrix operations (Projections, LU, QR, Householder, Decomposition in Singular Values).
Practical applications of the Hilbertian theory
Approximation by least mean square polynomial or with exponential.

Solving a given physical problem through adapted development
(orthogonal polynomials).

Examination duration

2 hours

Examination type

Written examination