Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Efficient numerical methods in non-uniform sampling theory
Numerische Mathematik
Wireless sensor networks: a survey
Computer Networks: The International Journal of Computer and Telecommunications Networking
Coping with irregular spatio-temporal sampling in sensor networks
ACM SIGCOMM Computer Communication Review
Spatio-temporal correlation: theory and applications for wireless sensor networks
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: In memroy of Olga Casals
Robust distributed network localization with noisy range measurements
SenSys '04 Proceedings of the 2nd international conference on Embedded networked sensor systems
Simultaneous localization, calibration, and tracking in an ad hoc sensor network
Proceedings of the 5th international conference on Information processing in sensor networks
Robust distributed node localization with error management
Proceedings of the 7th ACM international symposium on Mobile ad hoc networking and computing
Sensing capacity for discrete sensor network applications
IPSN '05 Proceedings of the 4th international symposium on Information processing in sensor networks
On the optimal density for real-time data gathering of spatio-temporal processes in sensor networks
IPSN '05 Proceedings of the 4th international symposium on Information processing in sensor networks
Sensor configuration and activation for field detection in large sensor arrays
IPSN '05 Proceedings of the 4th international symposium on Information processing in sensor networks
IEEE Transactions on Signal Processing
Impact of Data Retrieval Pattern on Homogeneous Signal Field Reconstruction in Dense Sensor Networks
IEEE Transactions on Signal Processing
Performance of Linear Field Reconstruction Techniques With Noise and Uncertain Sensor Locations
IEEE Transactions on Signal Processing - Part I
Perturbation of Regular Sampling in Shift-Invariant Spaces for Frames
IEEE Transactions on Information Theory
Successive interference cancellation with SISO decoding and EM channel estimation
IEEE Journal on Selected Areas in Communications
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A wireless sensor network with randomly deployed nodes can be used to provide an irregular sampling of a physical field of interest. We assume that a sink node collects the data gathered by the sensors and uses a linear filter for the reconstruction of a bandlimited scalar field defined over a d-dimensional domain. Sensors' locations are assumed to be known at the sink node, up to a certain position error. We then take the mean square error (MSE) of the reconstructed field as performance metric, and evaluate the effect of both uniform and quasi-equally spaced sensor layouts on the quality of the reconstructed field. We define a parameter that provides a measure of the regularity of the sensors deployment, and, through asymptotic analysis, we derive the MSE in the case of different sensor spatial distributions. For two of them, an approximate closed form expression is obtained. We validate our analysis through numerical results, and we show that an excellent match exists between analysis and simulation even for a small number of sensors.