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 3 Maper and oranges for Cid and MCid technique considering a maximum range

\(\varepsilon\)	B	\(R_{max}\)	\(\tilde{\Delta }_{Cid}\left( R_{min},R_{max}\right)\)	\(\tilde{\Delta }_{MCid}\left( R_{min},R_{max}\right)\)
2	35	65.1	64.0	47.7
5	35	67.7	70.0	53.5
10	35	72.3	80.0	63.2
2	70	65.1	72.8	72.8
5	70	67.7	72.8	72.8
10	70	72.3	80.0	72.8

Maper of cell-id and mean cell-id technique for \(B=35\;m\) and \(B=70\;m\), where B is the distance between consecutive RFID tags and the amplitude of range variations is \(R_{max}-R_{min}=40\;m\), in the light of Eq. (22). The results are in meters and \(h=12\;m\), \(L=20\;m\), \(l_{0}=5\;m\). \(r\ge L+\varepsilon\), with \(r=\sqrt{R^2-h^2}\), is always satisfied because it corresponds to \(r_{min}\).
Values that comply with FCC standards (lesser than 50 m) are highlighted in italics.