On quasi-equally spaced sampling in wireless sensor networks

In this paper we study wireless sensor networks for monitoring applications. We focus on the problem of sampling and reconstruction of multidimensional bandlimited signals, when the sensor locations are equally spaced points affected by some jitter, and the sensor measurements are affected by noise. We show how the mean square reconstruction error can be estimated from the eigenvalue distribution of a certain Toeplitz matrix. We analyze the d-dimensional case, and we show how the mean square error can be easily estimated by using asymptotic analysis.