An expression of uncertainty and its application to positioning: a quality-metric and optimal ranges for the identification of cells with RFID

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Table 1 Maper and oranges for Cid technique

\(\varepsilon\)	B	\(R_{Cid}\)	\(\Delta _{Cid}\left( R_{Cid}\right)\)	\(\tilde{\Delta }_{Cid}\left( R_{Cid},10\right)\)	\(\tilde{\Delta }_{Cid}\left( R_{Cid},20\right)\)
2	35	29.2	28.7	#	#
5	35	29.8	32.2	#	#
10	35	32.3	40.0	#	#
2	70	42.1	42.3	54.6	#
5	70	42.2	45.4	58.8	#
10	70	42.5	50.7	70.2	#

Maper and Oranges of Cell-Id Technique for \(B=35\;m\) and \(B=70\;m\), where B is the distance between consecutive RFID tags and maximum variations of \(K=10, \ 20\;m\) are admitted on the tags ranges magnitude in the light of Eq. (1). The results are in meters and \(h=12\;m\), \(L=20\;m\), \(l_{0}=5\;m\). Fields marked with a # are those where there is at least a range \(r=\sqrt{R^2-h^2}\) for which \(r\ge L+\varepsilon\) is not satisfied.