Error Analysis for RADAR Neighbor Matching Localization in Linear Logarithmic Strength Varying Wi-Fi Environment

Table 1

Statistical errors by RADAR neighbor matching localization.

Situations	Closed-form solutions
	Expected errors	Confidence probabilities
One-neighbor (Case 1)	𝜀1,1=𝑟4−𝑟16𝑁RP^𝑁RP𝑖∑=11𝑖	Prob1,11=1+8𝑁RP(3−4ln2)∑^𝑁RP𝑖=11𝑖−14𝑁RP^𝑁RP𝑖∑=1ln𝑖𝑖
One-neighbor (Case 2)	𝜀1,2=3𝑟4+𝑟16𝑁RP^𝑁RP𝑖∑=11𝑖	Prob1,2=14𝑁RP^𝑁RP𝑖∑=1ln𝑖𝑖−18𝑁RP(3−4ln2)∑^𝑁RP𝑖=11𝑖
One-neighbor	𝜀1=𝑟4+𝑟8𝑁RP^𝑁RP𝑖∑=1ln𝑖𝑟𝑖	Prob1=1
Two-neighbor (Case 1)	𝜀2,1=𝑟4−𝑟4𝑁RP^𝑁RP𝑖∑=11𝑖	Prob2,11=1+4𝑁RP(3−2ln2)∑^𝑁RP𝑖=11𝑖−12𝑁RP^𝑁RP𝑖∑=1ln𝑖𝑖
Two-neighbor (Case 2)	𝜀2,2=5𝑟4+𝑟4𝑁RP^𝑁RP𝑖∑=11𝑖	Prob2,2=12𝑁RP^𝑁RP𝑖∑=1ln𝑖𝑖−14𝑁RP(3−2ln2)∑^𝑁RP𝑖=11𝑖
Two-neighbor	𝜀2=𝑟4+𝑟2𝑁RP^𝑁RP𝑖∑=1ln𝑖𝑟𝑖	Prob2=1