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CA2551416A1 - Position determination using carrier phase measurements of satellite signals - Google Patents

Position determination using carrier phase measurements of satellite signals

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Publication number
CA2551416A1
CA2551416A1 CA 2551416 CA2551416A CA2551416A1 CA 2551416 A1 CA2551416 A1 CA 2551416A1 CA 2551416 CA2551416 CA 2551416 CA 2551416 A CA2551416 A CA 2551416A CA 2551416 A1 CA2551416 A1 CA 2551416A1
Authority
CA
Grant status
Application
Patent type
Prior art keywords
increments
means
further
carrier
phase
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CA 2551416
Other languages
French (fr)
Other versions
CA2551416C (en )
Inventor
Mark I. Zhodzishsky
Victor A. Veitsel
Alexey Zinoviev
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Topcon GPS LLC
Original Assignee
Topcon GPS LLC
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date

Links

Classifications

    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/42Determining position
    • G01S19/51Relative positioning
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in preceding groups
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/42Determining position
    • G01S19/43Determining position using carrier phase measurements, e.g. kinematic positioning; using long or short baseline interferometry

Abstract

Disclosed is a method and apparatus for determining the relative position of a mobile unit that moves from an initial location to a plurality of successive positions. The mobile unit receives signals from a plurality of navigation satellites and tracks the carrier phases of the signals during movement. For each of the received signals, carrier phase increments are calculated over a plurality of epochs. Anomalous carrier phase increments are determined and eliminated from further calculations. The non-eliminated carrier phase increments are then used to calculate coordinate increments for each of the time epochs. If, after elimination, the remaining number of carrier-phase increments is less than a threshold for a particular epoch, then coordinate increments for the particular epoch may be extrapolated using data from prior epochs. In various embodiments, least squares method and Kalman filtering may be used to calculate the coordinate increments. The coordinate increments may then be summed over a plurality of time epochs in order to determine a position of the mobile unit relative to its initial position.

Claims (33)

1. A method for determining relative positions of a mobile unit, wherein said mobile unit moves from an initial location to a plurality of successive positions, said method comprising the steps of:
receiving a plurality of signals from a corresponding plurality of navigation satellites and tracking carrier phases of said signals during movement;
calculating carrier phase increments for each of said signals for each of a plurality of time epochs;
determining which of said carrier phase increments are anomalous and eliminating them from further calculations ;
calculating coordinate increments for each of said plurality of time epochs using non-eliminated carrier phase increments; and summing said coordinate increments over a plurality of time epochs to determine a position of said mobile unit relative to said initial location.
2. The method of claim 1 wherein said step of calculating coordinate increments further comprises the steps of:
generating a transformation matrix G using satellite coordinates for navigation satellites whose carrier phase increments were not determined to be anomalous;
and calculating said coordinate increments using said transformation matrix G and a least squares method.
3. The method of claim 1 wherein said step of determining which of said carrier phase increments are anomalous further comprises the steps of:
calculating residuals of carrier-phase increments; and comparing said residuals to a threshold.
4. The method of claim 3 wherein said step of eliminating anomalous carrier phase increments from further calculations further comprises the steps of:
determining a maximum residual; and setting a channel weight for a satellite associated with said maximum residual to zero.
5. The method of claim 4 wherein said step of setting a channel weight for a satellite associated with said maximum residual to zero further comprises the step of:
resetting said channel weight to zero during two consecutive epochs.
6. The method of claim 4 wherein said step of setting a channel weight for a satellite associated with said maximum residual to zero further comprises the step of:
resetting said channel weight to zero during one epoch.
7. The method of claim 1 wherein said step of determining which of said carrier phase increments are anomalous further comprises the steps of:
calculating residuals of carrier-phase increments;
calculating a sum of residuals squares; and comparing said sum of residuals squares to a threshold.
8. The method of claim 7 wherein said step of eliminating anomalous carrier phase increments from further calculations further comprises the steps of:
determining a maximum residual; and setting a channel weight for a satellite associated with said maximum residual to zero.
9. The method of claim 8 wherein said step of setting a channel weight for a satellite associated with said maximum residual to zero further comprises the step of:
resetting said channel weight to zero during two consecutive epochs.
10. The method of claim 8 wherein said step of setting a channel weight for a satellite associated with said maximum residual to zero further comprises the step of:
resetting said channel weight to zero during one epoch.
11. The method of claim 1 wherein said step of determining which of said carrier phase increments are anomalous further comprises the step of:
calculating an average weighted residual.
12. The method of claim 11 wherein said step of determining which of said carrier phase increments are anomalous further comprises the step of:
detecting a large difference between carrier phase increments for neighboring epochs.
13. The method of claim 1 further comprising the step of:
after said step of eliminating, determining whether the remaining number of carrier-phase increments is less than a threshold for a particular epoch; and if the remaining number of carrier-phase increments is less than a threshold for a particular epoch, then extrapolating coordinate increments for said particular epoch using data from prior epochs.
14. The method of claim 1 wherein said step of determining which of said carrier phase increments are anomalous is based at least in part on alarm signals of satellite channel indicators.
15. The method of claim 1 further comprising the step of:
using coordinate increments calculated during a period of time when said mobile unit is stationary as a correction extrapolation during later periods of time when said mobile unit is moving.
16. The method of claim 1 wherein, during a motion interval, said mobile unit traverses a closed loop and returns to said initial location, said method further comprising the steps of:
determining a starting position of said mobile unit at said initial position prior to said traversal;
determining a finishing position of said mobile unit when it returns to said initial location after said traversal; and calculating the difference between said finishing position and said starting position; and using said difference as an error of calculated coordinate increments.
17. The method of claim 16 wherein said step of using said difference as an error of calculated coordinate increments further comprises the steps of:
dividing said difference by a number of elapsed epochs to determine an average error of coordinate increments; and using said average error of coordinate increments as a correction for measured coordinate increments during said motion interval.
18. The method of claim 1 further comprising the step of:
receiving data from a base station via a communication channel;
wherein said step of calculating coordinate increments is further based upon said received data from said base station utilizing differential processing mode so that highly correlated components of base and rover errors are eliminated.
19. A mobile unit comprising:
means for receiving a plurality of signals from a corresponding plurality of navigation satellites and tracking carrier phases of said signals during movement;
means for calculating carrier phase increments for each of said signals for each of a plurality of time epochs;

means for determining which of said carrier phase increments are anomalous and eliminating them from further calculations;
means for calculating coordinate increments for each of said plurality of time epochs using non-eliminated carrier phase increments; and means for summing said coordinate increments over a plurality of time epochs to determine a position of said mobile unit relative to said initial location.
20. The mobile unit of claim 19 wherein said means for calculating coordinate increments further comprises:
means for generating a transformation matrix G using satellite coordinates for navigation satellites whose carrier phase increments were not determined to be anomalous; and means for calculating said coordinate increments using said transformation matrix G and a least squares method.
21. The mobile unit of claim 19 wherein said means for determining which of said carrier phase increments are anomalous further comprises:
means for calculating residuals of carrier-phase increments; and means for comparing said residuals to a threshold.
22. The mobile unit of Claim 21 wherein said means for eliminating anomalous carrier phase increments from further calculations further comprises:
means for determining the maximum residual; and means for setting a channel weight for a satellite associated with said maximum residual to zero.
23. The mobile unit of claim 22 wherein said means for setting a channel weight for a satellite associated with said maximum residual to zero further comprises:
means for resetting said channel weight to zero during two consecutive epochs.
24. The mobile unit of claim 22 wherein said means for setting a channel weight for a satellite associated with said maximum residual to zero further comprises:
means for resetting said channel weight to zero during one epoch.
25. The mobile unit of claim 19 wherein said means for determining which of said carrier phase increments are anomalous further comprises:
means for calculating residuals of carrier-phase increments;
means for calculating a sum of residuals squares; and means for comparing said sum of residuals squares to a threshold.
26. The mobile unit of claim 25 wherein said means for eliminating anomalous carrier phase increments from further calculations further comprises:
means for determining a maximum residual; and means for setting a channel weight for a satellite associated with said maximum residual to zero.
27. The mobile unit of claim 26 wherein said means for setting a channel weight for a satellite associated with said maximum residual to zero further comprises:
means for resetting said channel weight to zero during two consecutive epochs.
28. The mobile unit of claim 20 wherein said means for setting a channel weight for a satellite associated with said maximum residual to zero further comprises:
means for resetting said channel Weight to zero during one epoch.
29. The mobile unit of claim 19 wherein said means for determining which of said carrier phase increments are anomalous further comprises:
means for calculating an average weighted residual.
30. The mobile unit of claim 19 wherein said means for determining which of said carrier phase increments are anomalous further comprises:

means for detecting a large difference between carrier phase increments for neighboring epochs.
31. The mobile unit of claim 19 further comprising:
means for using coordinate increments calculated during a period of time when said mobile unit is stationary as a correction extrapolation during later periods of time when said mobile unit is moving.
32. The mobile unit of claim 19 further comprising:
means for determining a starting position of said mobile unit at an initial position prior to a traversal;
means for determining a finishing position of said mobile unit when it returns to said initial location after said traversal; and means for calculating the difference between said finishing position and said starting position; and means for using said difference as an error of calculated coordinate increments.
33. The mobile unit of claim 32 wherein said means for using said difference as an error of calculated coordinate increments further comprises:
means for dividing said difference by a number of elapsed epochs to determine an average error of coordinate increments; and means for using said average error of coordinate increments as a correction for measured coordinate increments during said motion interval.
CA 2551416 2005-09-08 2006-06-30 Position determination using carrier phase measurements of satellite signals Expired - Fee Related CA2551416C (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
US11222119 US7522099B2 (en) 2005-09-08 2005-09-08 Position determination using carrier phase measurements of satellite signals
US11/222,119 2005-09-08

Publications (2)

Publication Number Publication Date
CA2551416A1 true true CA2551416A1 (en) 2007-03-08
CA2551416C CA2551416C (en) 2010-11-30

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Country Status (5)

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US (1) US7522099B2 (en)
EP (1) EP1762824B1 (en)
JP (2) JP4880397B2 (en)
CA (1) CA2551416C (en)
DE (1) DE602006014915D1 (en)

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Also Published As

Publication number Publication date Type
DE602006014915D1 (en) 2010-07-29 grant
EP1762824B1 (en) 2010-06-16 grant
JP2007071869A (en) 2007-03-22 application
US20070052583A1 (en) 2007-03-08 application
JP2012002820A (en) 2012-01-05 application
US7522099B2 (en) 2009-04-21 grant
JP4880397B2 (en) 2012-02-22 grant
EP1762824A1 (en) 2007-03-14 application
CA2551416C (en) 2010-11-30 grant

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