Martial COULON
Assistant Professor at INP-ENSEEIHT Toulouse
Teaching activities
Martial Coulon is an assistant professor with the department of Telecommunications & Networking of the engineering school INP-ENSEEIHT, Toulouse (France). He is responsible or involved in the teaching of the following courses at an undergraduate level:
Fourier Analysis
- Measure theory
- Lebesgue integrals
- Fourier transforms
- Distribution theory
- Discrete and continuous random variables
- Mathematical expectation
- Change of variables
- Extension to random vectors
- Properties of Gaussian vectors
Statistics
- The statistical model
- Estimation theory
- Maximum likelihood method
- Moment method
- Bayesian estimation
- Hypothesis testing
- Neyman-Pearson
- Generalized likelihood ratio
- Goodness-of-fit tests (Kolmogorov, Chi-Square)
Probability and Statistics with Matlab
- Introduction to Matlab
- building vectors and matrices
- arithmetic operators
- control flow
- script files and functions
- plotting
- Introduction to Matlab: building vectors
- Random variables generation
- Probability density estimation: histogram
- Application to estimation and detection theory
- Initiation to simulation
- first- and second-order derivatives
- convexity
- first- and second-order optimality conditions
- quadratic forms and applications
- optimization algortihms (steepest-descent, Gauss-Newton, BFGS,...)
- applications: GPS, Support Vector Machines
Mobile Radio Channel
- Path Loss
- Shadowing
- Fast fading
- Doppler effect
- LOS and NLOS channels
- Diversity methods
- Introduction to MIMO systems
- conventional receiver
- optimal receivers
- Decorrelating receivers
- MMSE/LMS receivers
- SIC receivers
Ultra-Wide
Band
- Impulse/Multi-band UWB
- Small-scale and large-scale channel modelling
- I-UWB and MC-UWB receivers
- Interference with narrow-band systems
Wireless communications
- Channel modeling
- Equalization
- Spectrum spreading
- OFDM
- Diversity
- Mobile systems
Principles
of digital communications
- Communications systems
- Sampling/Quantization
- Digital Modulations
- Nyquist criterion
- Optimum receivers for AWGN channels
- Inter-symbol interference and equalization
Signal Processing
- Deterministic and random signals
- Linear filtering
- Sampling
- Poisson Processes
Digital Signal Processing
- FIR/IIR Filtering (synthesis, windowing, stability...)