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Simple solutions for hyperbolic and related position fixes
Abstract
Navigation fixed from range differences to three stations and an additional piece of information are investigated. It is shown that if the additional information is the navigator altitude, or the range difference to a fourth station, the computation of the navigation fix is reduced to finding the roots of a quadratic. If the additional information is the range to another station, or that the navigator is on the Earth ellipsoid, the fix can be obtained by solving a quartic. By emphasizing the underlying geometric interpretations, these fixes and their simple solutions are made clear. The derivations also show that the same solution algorithms are applicable if the basic navigation measurements are range sums instead of range differences.>
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Cited by
Sayed, A. H., Tarighat, A., & Khajehnouri, N. (2005) · IEEE Signal Processing Magazine · doi:10.1109/msp.2005.1458275 · Cited by 1,312
Position location using wireless communications on highways of the future
Rappaport, T. S., Reed, J. H., & Woerner, B. D. (1996) · IEEE Communications Magazine · doi:10.1109/35.544321 · Cited by 561
Geolocation of a known altitude object from TDOA and FDOA measurements
Ho, K. C., & Chan, Y. T. (1997) · IEEE Transactions on Aerospace and Electronic Systems · doi:10.1109/7.599239 · Cited by 264
A Wi-Fi-Based Wireless Indoor Position Sensing System with Multipath Interference Mitigation
Xie, T., Jiang, H., Zhao, X., & Zhang, C. (2019) · Sensors · doi:10.3390/s19183983 · Cited by 32
Metadata
- Authors
- Fang, B. T.
- Venue
- IEEE Transactions on Aerospace and Electronic Systems
- Published
- 1990
- Volume
- 26
- Issue
- 5
- Pages
- 748-753
- ISSN
- 0018-9251 (ISSN-L)
- OpenAlex
- W2080830113
- Cited by
- 458
- References
- 0
- FWCI
- 2.78
- Type
- journal article
- Language
- en
- Open access
- closed
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