Research Interests

My main work has been on the analysis of the Finite Word Length implementation of controllers or filters. The digital implementation (in embedded computers, DSP, etc.) leads to a numerical (and also temporal) degradation of the controllers (performance, characteristics, etc.), due to the quantization of the involved coefficients (parametric errors) and some roundoff noises (numerical noises).
My PhD thesis, supported by the european car-maker PSA Peugeot-Citroën, consists in evaluating the impact of the implementation in a fixed-point or floating-point context and solving the optimal design problem associted, in order to find a realization that minimizes such FWL criteria.

My Ph.D thesis

My adivisors are Yvon Trinquet (IRCCyN / IUT de Nantes) and Philippe Chevrel (IRCCyN / École des Mines de Nantes).
The full title of my Ph.D thesis is Analysis and synthesis of the Finite Word Length implementation of filters and controllers
- Application on embedded computers in automotive context -

Main contributions of this thesis :

New formalism that allows a more detailed (but still macroscopic) description of realizations to be implemented
Some Finite Word Length sensitivity measures
- transfer function sensitivity
- pole sensitivity
- in open and closed-loop
- in SISO and MIMO case
- various representations like fixed-point, floating point, block floating-point, etc. are considered
Optimal design of a structured realization, according to FWL measure

The thesis will soon be available online.

Last update, 19 July 2006