Signal theory 1 - KAIE7M10

Goal(s)

This course is designed to provide a basic understanding of signals and signal processing. The first part covers the theory and mathematical representations of signals, while the second covers digital signal processing methods.
The course is supplemented by a series of practical exercises. Practical exercises illustrate the lectures and tutorials, but only in the second semester, to give students time to assimilate the theoretical concepts.

Content(s)

Introduction to signal theory
Signal theory

Signal processing
Some examples: communication, image processing, biomedical signals

1. Signal, functions and basic operators
Common signals
Dirac pulse
Convolution product
Characteristic values

2. Signal classification
Physical signals and models
Certain and random signals
Energy and power
Spectral classification
Other properties

3. Vector representation of signals
Signal space
Orthogonal functions
Examples of orthogonal functions

4. Certain signals
Fourier transform
Correlation function for finite-energy signals
Spectral and interspectral energy densities
Finite-mean-power signals
Periodic signals

5. Random signals
Random processes, signals and variables

Stationarity and ergodism
Autocorrelation and autocovariance
Spectral power density
Intercorrelation and interspectral power density
Combination of random signals

6. Functional operators and correlation techniques
Linear invariant operators
Other operators
Detecting a signal in noise

Linear Algebra, Distributions, Analysis, Statistics and Probability

Calendar

The course exists in the following branches:

• Curriculum - IESE - Semester 7

Additional Information

Course ID : KAIE7M10
Course language(s):

You can find this course among all other courses.

Bibliography

Bibliographie

• Electronique tome 1 Théorie du Signal, Manneville Francois, Dunod, 1997.
• Signal et télécoms : Philippe Loubaton. - Paris : Hermes science 2004.
• Théorie et traitement du signal. Messaoud Benidir - Paris : Dunod, 2004.
• Éléments de Théorie du Signal : Les Signaux Déterministes. J.P. DELMAS - Ellipses, 1991