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where is the ranging distance between two devices u and v.
Measured distance is the ranging distance between reader and target tag.
where n is the index of the neighbor and ε r ( k ) is the ranging error following a Gaussian distribution.
The range measurement is modeled as {widehat{d}}_i={d}_i+{n}_i (2 where n і is the ranging error in ( {widehat{d}}_i ), which results from TOA or RSS estimation disturbance.
The factor RSSI e is the ranging error (also DME or RSSI error) is given as d ( i, j ) ( 1 - 1 0 X σ 10 α ), where Xσ is a zero-mean Gaussian random variable with standard deviation σ and α is the path loss constant.
Ranges r n ↔ m ( k ) with neighbors n ∈ M m ( k ), which is in the form r n ↔ m ( k ) = ∥ ℓ n ( k ) - ℓ m ( k ) ∥ + ε r ( k ) (3) where n is the index of the neighbor and ε r ( k ) is the ranging error following a Gaussian distribution.
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