Abstract:
The dynamical sampling problem is a new problem in sampling theory dealing with reconstruction of a function from its spatio-temporal samples. The question of reconstructing the signal, when the positions of measuring devices or sensors are not changing over time has been studied earlier. The focus of this paper is on the case when devices are allowed to move. This, for example, may happen when devices are placed on moving cars and measure the air pollution as they travel within a polluted area.