A significantly low cost and tractable progressive learning approach is proposed and discussed for efficient spatiotemporal monitoring of a completely unknown, two dimensional correlated signal distribution in localized wireless sensor field. The spatial distribution is compressed into a number of its contour lines and only those sensors that their sensor observations are in a @math margin of the contour levels are reporting to the information fusion center (IFC). The proposed algorithm progressively finds the model parameters in iterations, by using extrapolation in curve fitting, and stochastic gradient method for spatial monitoring. The IFC tracks the signal variations using these parameters, over time. The monitoring performance and the cost of the proposed algorithm are discussed, in this letter.
Spatial modeling of signal distributions using contour lines has been addressed in @cite_13 @cite_31 @cite_21 . Modeling the spatial distribution with uniformly spaced contour levels and tracking their variation using time-series analysis in sensors was studied in @cite_21 . Using non-uniformly spaced contour lines was reported first in @cite_31 . They assumed the probability density function () of the signal strength and used method to calculate the optimal sub-optimal contour levels. An iterative algorithm was proposed in @cite_13 to extract the of the signal strength with low cost in spatial monitoring of the signal distribution.
@cite_31 @cite_21 @cite_13
2085176360 2147259327 2774751177
This paper presents algorithms for efficiently detecting the variation of a distributed signal over space and time using large scale wireless sensor networks. The proposed algorithms use contours for estimating the spatial distribution of a signal. A contour tracking algorithm is proposed to efficiently monitor the variations of the contours with time. Use of contours reduces the communication cost by reducing the participation of sensor nodes for the monitoring tasks. The proposed schemes use multi-sensor collaboration techniques and non-uniform contour levels to reduce the error in reconstructing the signal distribution. Results from computer simulations are presented to demonstrate the performance of the proposed schemes. In many applications of sensor networks, the sink needs to keep track of the history of sensed data of a monitored region for scientific analysis or supporting historical queries. We call these historical data a time series of value distributions or snapshots. Obviously, to build the time series snapshots by requiring all of the sensors to transmit their data to the sink periodically is not energy efficient. In this paper, we introduce the idea of gradient boundary and propose the gradient boundary detection (GBD) algorithm to construct these time series snapshots of a monitored region. In GBD, a monitored region is partitioned into a set of subregions and all sensed data in one subregion are within a predefined value range, namely, the gradient interval. Sensors located on the boundaries of the subregions are required to transmit the data to the sink and, then, the sink recovers all subregions to construct snapshots of the monitored area. In this process, only the boundary sensors transmit their data and, therefore, energy consumption is greatly reduced. The simulation results show that GBD is able to build snapshots with a comparable accuracy and has up to 40 percent energy savings compared with the existing approaches for large gradient intervals. A novel on-demand, adaptive compressed sensing approach is proposed and discussed for spatial monitoring of correlated massive data in dense wireless sensor field. The spatial monitoring is based on collecting the sensor observations of a subset of sensors that their reading is in Δ margin of a set of contour levels. The contour level set is adaptively updated in order to reduce the mean square error of reconstruction of the spatial distribution. The reconstruction error and the number of involved sensing nodes as cost are used to compare the proposed approach with spatial monitoring using equally spaced contour levels.