Table 1 Accuracy comparison between the two location algorithms
From: New three-dimensional positioning algorithm through integrating TDOA and Newton’s method
Target’s exact coordinates | The least square algorithm | Conversion algorithm based on spherical coordinates | ||||
|---|---|---|---|---|---|---|
X-axis error | Y-axis error | Z-axis error | X-axis error | Y-axis error | Z-axis error | |
[− 116,− 62,8] | – 0.1857 | – 0.1016 | – 0.1424 | – 0.1009 | – 0.0470 | 0.0326 |
[50,28,8] | 0.0137 | 0.0073 | 0.0799 | 0.0153 | 0.0110 | 0.0195 |
[200,180,30] | 0.5151 | 0.4794 | 0.3249 | 0.3793 | 0.3567 | 0.0043 |
[100,181,10] | 0.2055 | 0.4137 | 0.2259 | 0.1854 | 0.3341 | – 0.1986 |
[− 150,200,5] | 0.2663 | – 0.3826 | – 0.4472 | – 0.1494 | 0.1948 | 0.4513 |
[100,120,100] | 0.1280 | 0.1665 | 0.1706 | 0.0993 | 0.1232 | 0.0962 |
[160,140,50] | 0.3118 | 0.2836 | 0.1989 | 0.2291 | 0.2117 | 0.0584 |
[50,50,100] | 0.0097 | 0.0116 | 0.0438 | 0.0242 | 0.0254 | 0.0513 |
[30,30,1] | 0.0051 | 0.0070 | 0.4102 | 0.0085 | 0.0103 | 0.0253 |
[50,50,10] | 0.0192 | 0.0230 | 0.0555 | 0.0262 | 0.0298 | 0.0028 |
[60,40,3] | 0.0273 | 0.0189 | 0.2414 | 0.0248 | 0.0201 | 0.0370 |