We consider localized instantaneous sources that reside in a 2D dif- fusive environment. Our goal is to reconstruct the induced field from the measurements obtained by distributed sensors. Although the field is non-bandlimited, we capitalize on the fact that it is com- pletely determined by a finite number of parameters to develop a method that allows perfect reconstruction. We demonstrate how these results can be applied in practice in the particular case of heat diffusion. Simulation results confirm the effectiveness of the method.
Olivier Sauter, Jean-Marc Moret, Federico Alberto Alfredo Felici, Antoine Pierre Emmanuel Alexis Merle, Cristian Galperti, Francesco Carpanese
Johann Michler, Xavier Maeder, Laszlo Pethö, Amit Sharma