Article ID Journal Published Year Pages File Type
561401 Signal Processing 2012 12 Pages PDF
Abstract

One-dimensional sensor networks can be found in many fields and demand node location information for various applications. Developing localization algorithms in one-dimensional sensor networks is trivial, due to the fact that existing localization algorithms developed for two- and three-dimensional sensor networks are applicable; nevertheless, analyzing the corresponding localization errors is non-trivial at all, because it is helpful to improving localization accuracy and designing sensor network applications. This paper deals with localization errors in distance-based multi-hop localization procedures of one-dimensional sensor networks through the Cramér–Rao lower bound (CRLB). We analyze the fundamental behaviors of localization errors and show that the localization error for a sensor is locally determined by network elements within a certain range of this sensor. Moreover, we break down the analysis of localization errors in a large-scale sensor network into the analysis in small-scale sensor networks, termed unit networks, in which tight upper and lower bounds on the CRLB can be established. Finally, we investigate two practical issues: the applicability of the analysis based on the CRLB and the optimal anchor placement.

► We consider distance-based multi-hop localization procedures of one-dimensional sensor networks. ► The fundamental behaviors of localization errors are examined through the Cramér–Rao lower bound (CRLB). ► The localization error for a sensor is locally determined by network elements within a certain range of this sensor. ► The analysis is applicable because the maximum-likelihood estimator attains the CRLB.

Related Topics
Physical Sciences and Engineering Computer Science Signal Processing
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