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Ecole nationale supérieure de l'Énergie, l'Eau et l'Environnement
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Engineering school in energy, water and environment
Our engineering & master degrees
Our engineering & master degrees

> Studies > E3-STU-COURSES

Signal, Metrology - 3EMTABT0

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  • Number of hours

    • Lectures : 8.0
    • Tutorials : 12.0
    ECTS : 1.0

Goals

The purpose of this lecture is to introduce various aspects of signal processing.
The random nature of measurements and recorded time series is emphasized and illustrated by examples. 4 lectures are presented, each of which is focused on a different aspect, ranging from detection problems in telecommunication to non stationary spectral analysis of biological series.
All proposed algorithms, methods or strategies are examined and discussed in terms of their precision, robustness and reliability.
6 sessions (2h) are organized for classroom exercices.

Contact Olivier MICHEL

Content

4 2h long course:
1.introduction to binary hypothesis testing. MAP, MV, and Bayes strategies. Application to the detection of a communication binary signal embedded in noise.
2. Definition of information, entropy and channel capacity (additive Gaussian symmetric case).
3. Basics of numerical signal processing. Filtering and FFT, Transfer functions. The FFT algorithm.
4. Sliding window approaches for non stationary signal analysis. Example on biological time series.



Prerequisites

First semester SP lecture. Correlation and convolution. Transfer functions, sampled signals. PSD and Fourier transform, matched filters.

Tests

Written exam (1,5 h) Lab Work (12h)



.66*Exam + .33*LabWork
Note that this is part (50%) of the E8 course.

Additional Information

Curriculum->Tronc commun->Semester 2

Bibliography

  • An Introduction to Statistical Signal Processing, R.M. Gray, L.D. Davisson - Cambridge University Press 2005.
  • Digital Signal Processing (4th Edition), J.G. Proakis & D.K. Manolakis, Prentice Hall 2006.
  • Digital Signal Processing Using MATLAB, V.K. Ingle, J.G. Proakis, Thomson-Engineering 2006.

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Université Grenoble Alpes