Phelma Formation 2022

Random process analysis - 4PMSSAL9

  • Number of hours

    • Lectures 12.0
    • Projects 0
    • Tutorials 6.0
    • Internship 0
    • Laboratory works 0

    ECTS

    ECTS 1.5

Goal(s)

This course focuses to theoretical description of random signals and analysis methods for their properties. This course is a fundamental basis for any advanced signal processing courses.

Contact Bertrand RIVET, Marion DOHEN, Laurent GIRIN

Content(s)

This course focuses to theoretical description of random signals and analysis methods for their properties. This course is a fundamental basis for any advanced signal processing courses.

Description and definition
Fundamental properties, correlation
Temporal average and statistical average

Stationnarity and ergodism
Power spectral density
Wiener-Kitchine's theorem
Spectral properties, spectral correlation
Filtering of random signals
Narrow band channel noise
Modulation system performance in presence of noise



Prerequisites

Having followed a course on deterministic signal processing

Test

session 1 - in person :
Written exam
Duration: 2h
1 handwritten sheet of paper authorised
calculator authorised

session 2 - in person :
Written exam
Duration: 2h
1 handwritten sheet of paper authorised
calculator authorised

session 1 - remote :
Devoir maison
rapport à rendre sous 24h

session 2 - remote :
Devoir maison
rapport à rendre sous 24h



session 1 condition normale :
note de l'examen.

session 1 condition confinement :
note du devoir maison.

session 2 condition normale :
note de l'examen.

session 2 condition confinement :
note du devoir maison.

Additional Information

Course list
Curriculum->SICOM->Semester 7

Bibliography

Papoulis : Signal Analysis, Mc Graw-Hill, New York, 1987.