Abstract

With the development and widespread application of wireless sensor networks (WSNs), the amount of sensory data grows sharply and the volumes of some sensory data sets are larger than terabytes, petabytes, or exabytes, which have already exceeded the processing abilities of current WSNs. However, such big sensory data are not necessary for most applications of WSNs, and only a small subset containing critical data points may be enough for analysis, where the critical data points including the extremum and inflection data points of the monitored physical world during given period. Therefore, it is an efficient way to reduce the amount of the big sensory data set by only retrieving the critical data points during sensory data acquisition process. Since most of the traditional sensory data acquisition algorithms were only designed for discrete data and did not support to retrieve critical points from a continuously varying physical world, this paper will study such a problem. In order to solve it, we firstly provided the formal definition of the δ-approximate critical points. Then, a data acquisition algorithm based on numerical analysis and Lagrange interpolation is proposed to acquire the critical points. The extensive theoretical analysis and simulation results are provided, which show that the proposed algorithm can achieve high accuracy for retrieving the δ -approximate critical points from the monitored physical world.

Highlights

  • The appearance of wireless sensor networks (WSNs) makes it possible to observe the complicated physical world with low cost

  • WSNs are widely used in many applications, including military defense [1,2,3,4], environment monitoring [5, 6], traffic monitoring [7, 8], and structural health monitoring [9,10,11]

  • All the above algorithms are efficient for processing the discrete sensory data, they cannot meet the complicated query requirements given by users and do not support to retrieve the critical data points in current WSNs since only discrete data were considered

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Summary

Introduction

The appearance of wireless sensor networks (WSNs) makes it possible to observe the complicated physical world with low cost. Considering that many applications may only want to acquire the critical point information, such as as maxima, minima, and flection points, according to the above analysis, the energy cost of collecting the sensory data from the monitored physical world can be further reduced. A novel sensory data acquisition algorithm is proposed based on numerical analysis techniques [27] and Lagrange interpolation [28] in order to retrieve the critical points approximately. Such algorithm can adjust the sampling frequency of sensors adaptively according to the variation of physical world in order to dramatically reduce the amount of sensory data.

The step-size increment t and the decrease factor α
11 Return X1 and X2
Discussion: the method for estimating missing critical points
Experiment result
The performance of the algorithm
Conclusions

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