### Abstract

Integer carrier phase ambiguity resolution is a major challenge for sub-centimeter level precision positioning or sub-degree level attitude determination. In such estimation problems, the key point is the resolution and validation of the integer ambiguity. The estimation process is typically formulated as the linear system equation. The unknown terms of the equations are the baseline vector and the double-differenced ambiguity vector. In the paper, a method based on linear matrix inequality and eigen-decomposition is adopted. The GPS data collected at various surveyed sites in Taiwan region are used for analysis. Both the LAMBDA and eigendecomposition methods are applied for the baseline determination. The comparisons between the two methods in terms of computational load, convergence rate, and reliability are assessed.

Original language | English |
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Title of host publication | 63rd Annual Meeting of the Institute of Navigation 2007 |

Pages | 299-304 |

Number of pages | 6 |

Publication status | Published - 2007 Aug 23 |

Event | 63rd Annual Meeting of the Institute of Navigation 2007 - Cambridge, MA, United States Duration: 2007 Apr 23 → 2007 Apr 25 |

### Publication series

Name | Proceedings of the Annual Meeting - Institute of Navigation |
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### Other

Other | 63rd Annual Meeting of the Institute of Navigation 2007 |
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Country | United States |

City | Cambridge, MA |

Period | 07-04-23 → 07-04-25 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Transportation
- Aerospace Engineering

### Cite this

*63rd Annual Meeting of the Institute of Navigation 2007*(pp. 299-304). (Proceedings of the Annual Meeting - Institute of Navigation).

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*63rd Annual Meeting of the Institute of Navigation 2007.*Proceedings of the Annual Meeting - Institute of Navigation, pp. 299-304, 63rd Annual Meeting of the Institute of Navigation 2007, Cambridge, MA, United States, 07-04-23.

**Ambiguity resolution validation based on LAMBDA and eigen-decomposition.** / Tsai, Yung Fu; Juang, Jyh-Chin.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Ambiguity resolution validation based on LAMBDA and eigen-decomposition

AU - Tsai, Yung Fu

AU - Juang, Jyh-Chin

PY - 2007/8/23

Y1 - 2007/8/23

N2 - Integer carrier phase ambiguity resolution is a major challenge for sub-centimeter level precision positioning or sub-degree level attitude determination. In such estimation problems, the key point is the resolution and validation of the integer ambiguity. The estimation process is typically formulated as the linear system equation. The unknown terms of the equations are the baseline vector and the double-differenced ambiguity vector. In the paper, a method based on linear matrix inequality and eigen-decomposition is adopted. The GPS data collected at various surveyed sites in Taiwan region are used for analysis. Both the LAMBDA and eigendecomposition methods are applied for the baseline determination. The comparisons between the two methods in terms of computational load, convergence rate, and reliability are assessed.

AB - Integer carrier phase ambiguity resolution is a major challenge for sub-centimeter level precision positioning or sub-degree level attitude determination. In such estimation problems, the key point is the resolution and validation of the integer ambiguity. The estimation process is typically formulated as the linear system equation. The unknown terms of the equations are the baseline vector and the double-differenced ambiguity vector. In the paper, a method based on linear matrix inequality and eigen-decomposition is adopted. The GPS data collected at various surveyed sites in Taiwan region are used for analysis. Both the LAMBDA and eigendecomposition methods are applied for the baseline determination. The comparisons between the two methods in terms of computational load, convergence rate, and reliability are assessed.

UR - http://www.scopus.com/inward/record.url?scp=34547998853&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547998853&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:34547998853

SN - 1604232862

SN - 9781604232868

T3 - Proceedings of the Annual Meeting - Institute of Navigation

SP - 299

EP - 304

BT - 63rd Annual Meeting of the Institute of Navigation 2007

ER -