A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS.
The dilution of precision terms for relative positioning as defined in [1], are bounded from above by the corresponding dilution of precision terms for point positioning. In [1], this result is proven for the case of four satellites and conjectured to be valid for the case of more than four satellit...
| Main Author: | |
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| Format: | Journal Article |
| Language: | English |
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1998
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| Online Access: | http://hdl.handle.net/20.500.11937/3768 |
| _version_ | 1848744322344681472 |
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| author | Teunissen, Peter |
| author_facet | Teunissen, Peter |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The dilution of precision terms for relative positioning as defined in [1], are bounded from above by the corresponding dilution of precision terms for point positioning. In [1], this result is proven for the case of four satellites and conjectured to be valid for the case of more than four satellites. A proof of this conjecture is given. We also extend the result by giving two different lower bounds for the dilution of precision terms. The first lower bound depends on the receiver-satellite geometry, whereas the second does not. The proof of the bounds is based on the solution of a generalized eigenvalue problem. |
| first_indexed | 2025-11-14T05:59:37Z |
| format | Journal Article |
| id | curtin-20.500.11937-3768 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T05:59:37Z |
| publishDate | 1998 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-37682017-01-30T10:33:55Z A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. Teunissen, Peter The dilution of precision terms for relative positioning as defined in [1], are bounded from above by the corresponding dilution of precision terms for point positioning. In [1], this result is proven for the case of four satellites and conjectured to be valid for the case of more than four satellites. A proof of this conjecture is given. We also extend the result by giving two different lower bounds for the dilution of precision terms. The first lower bound depends on the receiver-satellite geometry, whereas the second does not. The proof of the bounds is based on the solution of a generalized eigenvalue problem. 1998 Journal Article http://hdl.handle.net/20.500.11937/3768 en restricted |
| spellingShingle | Teunissen, Peter A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. |
| title | A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. |
| title_full | A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. |
| title_fullStr | A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. |
| title_full_unstemmed | A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. |
| title_short | A proof of Nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with GPS. |
| title_sort | proof of nielsen’s conjecture on the relationship between dilution of precision for point positioning and for relative positioning with gps. |
| url | http://hdl.handle.net/20.500.11937/3768 |