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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.


Confidence probability of case 1 in equal-weighted RLSNs.
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f3-sensors-12-03605: Confidence probability of case 1 in equal-weighted RLSNs.

Mentions: Case 1: j = 1 with the neighbor set {R1, ⋯ ,RK}. In this case, because there is no RP between the AP and R1, the new sensed RSS at TP should fall in the range of , as shown in Figure 3. The confidence probability of set {R1, ⋯ ,RK} is calculated by Equation (2), where, and (x) + Q (−x) = 1.(2)ProbK1=∫PK+PK+12+∞12πσe−(x−PT¯)22σ2dx=Q(ασlgir+δrK(K+1))


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)

Confidence probability of case 1 in equal-weighted RLSNs.
© Copyright Policy
Related In: Results  -  Collection

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

f3-sensors-12-03605: Confidence probability of case 1 in equal-weighted RLSNs.
Mentions: Case 1: j = 1 with the neighbor set {R1, ⋯ ,RK}. In this case, because there is no RP between the AP and R1, the new sensed RSS at TP should fall in the range of , as shown in Figure 3. The confidence probability of set {R1, ⋯ ,RK} is calculated by Equation (2), where, and (x) + Q (−x) = 1.(2)ProbK1=∫PK+PK+12+∞12πσe−(x−PT¯)22σ2dx=Q(ασlgir+δrK(K+1))

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.