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On the statistical errors of RADAR location sensor networks with built-in Wi-Fi Gaussian linear fingerprints.

Zhou M, Xu YB, Ma L, Tian S - Sensors (Basel) (2012)

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Communication Research Center, School of Electronics and Information Engineering, Harbin Institute of Technology, Nangang District, Harbin, Heilongjiang, China. mzhou@hit.edu.cn

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.

No MeSH data available.


Linear expected errors with variations of K in equal-weighted RLSNs (r = 0.5 m).
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f6-sensors-12-03605: Linear expected errors with variations of K in equal-weighted RLSNs (r = 0.5 m).

Mentions: In Figures 6 and 7, we show the linear expected errors of the equal and unequal-weighted RLSNs, respectively, given that the TP is actually located with the physical distance dT = ir + δ to the AP. These are derived from Equations (6) and (13) and plotted as the functions of the number of RPs NRP. Clearly, as NRP increases, the linear expected errors will also increase. However, the errors will not vary a lot with the increase of K. Take equal RLSNs for example. At NRP = 25 and σ = 3 dBm, the decreasing rates of errors from K = 1 to K = 3, and from K = 3 to K = 5 are 11.7% and 7.5%.


On the statistical errors of RADAR location sensor networks with built-in Wi-Fi Gaussian linear fingerprints.

Zhou M, Xu YB, Ma L, Tian S - Sensors (Basel) (2012)

Linear expected errors with variations of K in equal-weighted RLSNs (r = 0.5 m).
© Copyright Policy
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3376608&req=5

f6-sensors-12-03605: Linear expected errors with variations of K in equal-weighted RLSNs (r = 0.5 m).
Mentions: In Figures 6 and 7, we show the linear expected errors of the equal and unequal-weighted RLSNs, respectively, given that the TP is actually located with the physical distance dT = ir + δ to the AP. These are derived from Equations (6) and (13) and plotted as the functions of the number of RPs NRP. Clearly, as NRP increases, the linear expected errors will also increase. However, the errors will not vary a lot with the increase of K. Take equal RLSNs for example. At NRP = 25 and σ = 3 dBm, the decreasing rates of errors from K = 1 to K = 3, and from K = 3 to K = 5 are 11.7% and 7.5%.

Bottom Line: 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.

View Article: PubMed Central - PubMed

Affiliation: Communication Research Center, School of Electronics and Information Engineering, Harbin Institute of Technology, Nangang District, Harbin, Heilongjiang, China. mzhou@hit.edu.cn

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.

No MeSH data available.