Distributed sensing of signals under a sparse filtering model


A. Hormati, O. Roy, Y. M. Lu, and M. Vetterli, “Distributed sensing of signals under a sparse filtering model,” in Proc. 8th International Conference on Sampling Theory and Applications (SampTA), Marseille, France, 2009.


We consider the task of recovering correlated vectors at a central decoder based on fixed linear measurements ob- tained by distributed sensors. Two different scenarios are considered: In the case of universal reconstruction, we look for a sensing and recovery mechanism that works for all possible signals, whereas in the case of almost sure recon- struction, we allow to have a small set (with measure zero) of unrecoverable signals. We provide achievability bounds on the number of samples needed for both scenarios. The bounds show that only in the almost sure setup can we ef- fectively exploit the signal correlations to achieve effective gains in sampling efficiency. In addition, we propose an efficient and robust distributed sensing and reconstruction algorithm based on annihilating filters.

Last updated on 01/02/2012