2022-large-scale cooperative positioning with global navigation satellite system
US-2024004088-A1 · Jan 4, 2024 · US
US2016116601A1 · US · A1
| Field | Value |
|---|---|
| Publication number | US-2016116601-A1 |
| Application number | US-201514621187-A |
| Country | US |
| Kind code | A1 |
| Filing date | Feb 12, 2015 |
| Priority date | Oct 27, 2014 |
| Publication date | Apr 28, 2016 |
| Grant date | — |
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A method for Real Time Kinematic satellite positioning includes receiving navigation satellite carrier signals, receiving phase correction signals from a reference station, calculating a set of integer phase ambiguities from double-differenced measurements of pseudo-range and phase, and calculating a relative position of the mobile receiver from the set of integer phase ambiguities and the double-differenced measurements of pseudo-range and phase.
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We claim: 1 . A method for Real Time Kinematic satellite positioning comprising: at a mobile receiver, receiving a first navigation satellite carrier signal from a first navigation satellite, receiving a second navigation satellite carrier signal from a second navigation satellite, receiving a third navigation satellite carrier signal from a third navigation satellite, and receiving a fourth navigation satellite carrier signal from a fourth navigation satellite; at the mobile receiver, receiving first, second, third, and fourth phase correction signals from a reference station; at the mobile receiver, calculating a set of integer phase ambiguities from double-differenced measurements of pseudo-range and phase; and at the mobile receiver, calculating a relative position of the mobile receiver from the set of integer phase ambiguities and the double-differenced measurements of pseudo-range and phase. 2 . The method of claim 1 , wherein receiving a navigation satellite carrier signal comprises receiving a first GPS signal on an L1 frequency. 3 . The method of claim 2 , wherein receiving a navigation satellite carrier signal further comprises receiving a second GPS signal on an L2 frequency and combining the first and second GPS signals to create a beat signal. 4 . The method of claim 1 , further comprising receiving a set of additional phase correction signals from a second reference station; wherein calculating the relative position of the mobile receiver comprises calculating the relative position of the mobile receiver at least in part on the set of additional phase correction signals. 5 . The method of claim 1 , wherein receiving the first, second, third, and fourth phase correction signals comprises receiving the first, second, third, and fourth phase correction signals from a UHF radio. 6 . The method of claim 1 , wherein calculating a set of integer phase ambiguities comprises generating a first set of integer phase ambiguity hypotheses using a Kalman filter and performing hypothesis testing on the first set of integer phase ambiguity hypotheses. 7 . The method of claim 6 , wherein generating the first set of integer phase ambiguity hypotheses comprises generating the first set of integer phase ambiguity hypotheses using means and covariances generated by a Bierman-Thornton filter and at least one of a LAMBDA and an MLAMBDA algorithm. 8 . The method of claim 7 , wherein generating the first set of integer phase ambiguity hypotheses comprises generating the first set of integer phase ambiguity hypotheses from a measurement equation that relates phase change and pseudo-range to integer ambiguity without inclusion of a baseline vector; wherein generating the first set of integer phase ambiguity hypotheses comprises generating the first set of integer phase ambiguity hypotheses without a dynamic transition model. 9 . The method of claim 8 , wherein generating the first set of integer phase ambiguity hypotheses further comprises performing a decorrelating reparameterization of a hypothesis search space. 10 . The method of claim 9 , wherein performing hypothesis testing comprises performing hypothesis testing using a Bayesian update algorithm. 11 . The method of claim 10 , wherein performing hypothesis testing comprises performing hypothesis testing comprises removing a hypothesis from further testing based on a pseudo-likelihood of the hypothesis passing a threshold value. 12 . The method of claim 11 , wherein performing hypothesis testing comprises ceasing hypothesis testing when a ratio of probability of a most likely hypothesis to probability of a second-most likely hypothesis passes a threshold value. 13 . The method of claim 12 , further comprising generating a second set of integer phase ambiguity hypotheses after hypotheses from the first set of integer phase ambiguity hypotheses have been removed from further testing. 14 . The method of claim 13 , wherein generating the second set of integer phase ambiguity hypotheses comprises generating the second set of integer phase ambiguity hypotheses in response to a hypothesis search space becoming smaller than a threshold value. 15 . The method of claim 14 , wherein calculating the set of integer phase ambiguities comprises tracking relative probabilities in logarithmic space. 16 . A method for Real Time Kinematic satellite positioning comprising: at a mobile receiver, receiving a first navigation satellite carrier signal from a first navigation satellite, receiving a second navigation satellite carrier signal from a second navigation satellite, receiving a third navigation satellite carrier signal from a third navigation satellite, and receiving a fourth navigation satellite carrier signal from a fourth navigation satellite; at the mobile receiver, transmitting carrier signal data corresponding to the first, second, and third navigation satellites from the mobile receiver to a remote computer; at the remote computer, receiving first, second, third, and fourth phase correction signals from a reference station; at the remote computer, calculating a set of integer phase ambiguities from double-differenced measurements of pseudo-range and phase; and at the remote computer, calculating a relative position of the mobile receiver from the set of integer phase ambiguities and the double-differenced measurements of pseudo-range and phase. 17 . The method of claim 16 , wherein calculating a set of integer phase ambiguities comprises: generating a first set of integer phase ambiguity hypotheses using means and covariances generated by a Bierman-Thornton filter and at least one of a LAMBDA and an MLAMBDA algorithm; and performing hypothesis testing on the first set of integer phase ambiguity hypotheses. 18 . The method of claim 17 , wherein generating the first set of integer phase ambiguity hypotheses comprises generating the first set of integer phase ambiguity hypotheses from a measurement equation that relates phase change and pseudo-range to integer ambiguity without inclusion of a baseline vector; wherein generating the first set of integer phase ambiguity hypotheses comprises generating the first set of integer phase ambiguity hypotheses without a dynamic transition model. 19 . The method of claim 18 , wherein generating the first set of integer phase ambiguity hypotheses further comprises performing a decorrelating reparameterization of a hypothesis search space. 20 . The method of claim 19 , wherein performing hypothesis testing comprises performing hypothesis testing using a Bayesian update algorithm.
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