Abstract
The expected errors of RADAR sensor networks with linear probabilistic location fingerprints inside buildings with varying Wi-Fi Gaussian strength are discussed. As far as we know, the statistical errors of equal and unequal-weighted RADAR networks have been suggested as a better way to evaluate the behavior of different system parameters and the deployment of reference points (RPs). However, up to now, there is still not enough related work on the relations between the statistical errors, system parameters, number and interval of the RPs, let alone calculating the correlated analytical expressions of concern. Therefore, in response to this compelling problem, under a simple linear distribution model, much attention will be paid to the mathematical relations of the linear expected errors, number of neighbors, number and interval of RPs, parameters in logarithmic attenuation model and variations of radio signal strength (RSS) at the test point (TP) with the purpose of constructing more practical and reliable RADAR location sensor networks (RLSNs) and also guaranteeing the accuracy requirements for the location based services in future ubiquitous context-awareness environments. Moreover, the numerical results and some real experimental evaluations of the error theories addressed in this paper will also be presented for our future extended analysis.
Highlights
The significantly growing interest in ubiquitous computing and context-awareness applications has required reliable, accurate and real-time localization technologies to locate the users’ positions in high-speed, seamless and heterogeneous wireless personal networks (WPNs), especially in the in-building environments where the Global Navigation Satellite System (GNSS) and geolocation in cellular system are not accurate enough [1,2,3]
The dimensions of this area are 31 m × 2 m and the reference points (RPs) are linearly distributed along the corridor with the same 1 m interval
radio signal strength (RSS) samples recorded for the construction of radio map
Summary
The significantly growing interest in ubiquitous computing and context-awareness applications has required reliable, accurate and real-time localization technologies to locate the users’ positions in high-speed, seamless and heterogeneous wireless personal networks (WPNs), especially in the in-building environments where the Global Navigation Satellite System (GNSS) and geolocation in cellular system are not accurate enough [1,2,3]. Ranging from the military to public uses, from the urban to rural regions, and from the outdoor to indoor areas, location based services (LBSs) were already widely favored and popularized in the recent decade [4,5,6]. Global Navigation Satellite System (GLONASS) can achieve 1.5 m accuracy for civilian use [8].
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