Distributed sampling and reconstruction of non-bandlimited fields in sensor networks based on shift-invariant spaces

We use the theory and algorithms developed for so-called shift-invariant spaces to develop a novel distributed architecture for sampling and reconstructing non-bandlimited fields in wireless sensor networks. Our scheme groups neighboring sensors into clusters that locally perform highly accurate field reconstruction with limited communication overhead. The overall complexity of our method scales only linearly with the number of sensors. Numerical simulations illustrate that the proposed field reconstruction scheme outperforms band-limited reconstruction, even though the latter has much larger complexity.