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Applied mathematics : Signals and systems [INMA2701]
[30h+30h exercises] 5 credits

Version française

Printable version

This course is taught in the 1st semester

Teacher(s):

Luc Vandendorpe, Vincent Wertz

Language:

French

Level:

Second cycle

>> Aims
>> Main themes
>> Content and teaching methods
>> Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)
>> Programmes in which this activity is taught
>> Other credits in programs

Aims

To introduce the students to the theory and to the methods of analysis of linear signals and systems as well as to their use in engineering science.

Main themes

Theory and applications of the theory of signals and systems in continuous-time and in discrete-time.

Content and teaching methods

1. Signals - Systems - Convolutions - Distributions

2. Signals and systems in continuous-time
- Fourier transform (uni- and multi-dimensional) - Fourier series - Application to spectral analysis
- Laplace transform - Application to differential equations - Application to linear systems in continuous-time (transfer functions, causality, stability, ...)

3. Signals and systems in discrete-time :
- Sampling
- Z transform - Application to difference equations - Application to linear systems (transfer functions, causality, stability, ...)
- Discrete Fourier transform - Fast Fourier transform - Application to spectral analysis

Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

no special information

Programmes in which this activity is taught

INFO2

Ingénieur civil informaticien

MAP2

Ingénieur civil en mathématiques appliquées

Other credits in programs

ELEC21

Première année du programme conduisant au grade d'ingénieur civil électricien

(5 credits)

Mandatory

ELEC22

Deuxième année du programme conduisant au grade d'ingénieur civil électricien

(5 credits)

ELME21/E

Première année du programme conduisant au grade d'ingénieur civil électro-mécanicien (énergie)

(5 credits)

Mandatory

ELME21/M

Première année du programme conduisant au grade d'ingénieur civil électro-mécanicien (mécatronique)

(5 credits)

Mandatory

GC21

Première année du programme conduisant au grade d'ingénieur civil des constructions

(5 credits)

Mandatory

INCH21

Première année du programme conduisant au grade d'ingénieur civil chimiste

(5 credits)

Mandatory

INFO21

Première année du programme conduisant au grade d'ingénieur civil informaticien

(5 credits)

INFO22

Deuxième année du programme conduisant au grade d'ingénieur civil informaticien

(5 credits)

MAP21

Première année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées

(5 credits)

Mandatory

MATR21

Première année du programme conduisant au grade d'ingénieur civil en science des matériaux

(5 credits)

Mandatory

MECA21

Première année du programme conduisant au grade d'ingénieur civil mécanicien

(5 credits)

Mandatory



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Last update :02/08/2006