# An Indoor Collaborative Coefficient-Triangle APIT Localization Algorithm

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## Abstract

**:**

## 1. Introduction

## 2. APIT Algorithm

## 3. Collaborative Coefficient-Triangle APIT Localization Algorithm

## 4. Simulation and Analysis of Results

#### 4.1. Optimization of the Mean and Standard Deviation Weighting Factors

#### 4.2. Node Localization Coverage Rate of the Proposed Localization Algorithm

#### 4.3. Positioning Error of the Proposed Localization Algorithm

#### 4.4. Time Complexity of the Proposed Localization Algorithm

## 5. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## References

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**Figure 1.**Schematic diagram of Approximate Point-In-Triangulation (APIT). (

**a**) Outside the triangle. (

**b**) Inside the triangle.

**Figure 7.**Curves of the localization coverage rate with various communication radii of unknown nodes.

Parameter | Configuration Information |
---|---|

Location area | 100 m × 100 m |

Number of all nodes | 100 |

Transmission model | DOI |

Signaling irregularity | 0.005 |

Send energy ${P}_{T}$ | 0 dBm |

Reference distance ${d}_{0}$ | 1 m |

Signal strength $PL\left({d}_{0}\right)$ | 55 dBm |

Scale factor $\eta $ | 4 |

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## Share and Cite

**MDPI and ACS Style**

Chen, S.-T.; Zhang, C.; Li, P.; Zhang, Y.-Y.; Jiao, L.-B.
An Indoor Collaborative Coefficient-Triangle APIT Localization Algorithm. *Algorithms* **2017**, *10*, 131.
https://doi.org/10.3390/a10040131

**AMA Style**

Chen S-T, Zhang C, Li P, Zhang Y-Y, Jiao L-B.
An Indoor Collaborative Coefficient-Triangle APIT Localization Algorithm. *Algorithms*. 2017; 10(4):131.
https://doi.org/10.3390/a10040131

**Chicago/Turabian Style**

Chen, Su-Ting, Chuang Zhang, Peng Li, Yan-Yan Zhang, and Liang-Bao Jiao.
2017. "An Indoor Collaborative Coefficient-Triangle APIT Localization Algorithm" *Algorithms* 10, no. 4: 131.
https://doi.org/10.3390/a10040131