GPS Navigation: Combining Pseudorange with Continuous Carrier Phase Using a Kalman Filter

Hwang, Patrick Y. C.; Brown, Robert G.

doi:10.1002/j.2161-4296.1990.tb01546.x

Cited by 42 publications

(19 citation statements)

References 3 publications

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“…The motivation to follow this approach comes from the fact that, using smoothed pseudorange double differences, it is possible to estimate, with high accuracy, the relative position of two receivers, [14][15][16]. Incorporating these constrains in the positioning determination leads to an improvement in the positioning accuracy.…”

Section: Proposed Approachmentioning

confidence: 98%

WAW Location-based Service Positioning

Sanguino

Tocha

Rodrigues

2010

Wireless Pers Commun

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Coordinated positioning operations require the user to be aware, not only, of his own position but also of the positions of the other elements on his team. Its deployment can be supported in WAW ("Where Are We?") location-based services, where the position of each user is made available to the rest of the group. This paper presents a method for the estimation of a user's position based on measurements from a group of Global Positioning System (GPS) receivers. None of the GPS receiver positions, used in the estimation process, is considered to be known. The proposed approach leads to an improvement on the accuracy of the position estimates, when compared with those computed on an autonomous way, and has a direct application in the development of enhanced services in WAW location-based services. The positioning estimator takes advantage from the fact that, in this type of location-based service, GPS measurements are available from several receivers. Instead of estimating the user's position based only on the measurements of his own GPS receiver, the proposed approach uses the measurements from all the GPS receivers in the group. The paper presents details of the positioning model and estimator used to achieve the accuracy improvements. Simulation results are presented based on real GPS satellite ephemeris, collected at the University campus.

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Section: Proposed Approachmentioning

confidence: 98%

WAW Location-based Service Positioning

Sanguino

Tocha

Rodrigues

2010

Wireless Pers Commun

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“…For example Hatch [7], Ashjaee [1] and Goad [5] studied how to generate the so-called carrier-smoothed code measurements by using carrier phase and code measurements. Kleusberg [10], Hwang and Brown [8], Teunissen [12], Jin [9] and Tiberius [13] investigated how to use carrier phase and code measurements in GPS kinematic positioning. Most methods assume that a dynamic model for the roving receiver is available, and then use the standard Kalman filter.…”

Section: Some Gps Detailsmentioning

confidence: 99%

An Algorithm for Combined Code and Carrier Phase Based GPS Positioning

Chang¹,

Paige²

2003

BIT Numerical Mathematics

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Abstract.The Global Positioning System (GPS) is a satellite based navigation system. GPS satellites transmit signals that allow one to quite accurately estimate the location of GPS receivers. In GPS a typical technique for kinematic position estimation is differential positioning where two receivers are used, one receiver is stationary and its exact position is known, the other is roving and its position is to be estimated. We describe the physical situation and give the mathematical model based on the difference of the measurements at the stationary and roving receivers. The model we consider combines both the code and carrier phase measurements. We then present a recursive least squares approach for position estimation. We take full account of the structure of the problem to make our algorithm efficient, and use orthogonal transformations to ensure numerical reliability of the algorithm. Real data test results suggest our algorithm is effective. An additional benefit of this approach is that the drawbacks of double differencing are avoided. The paper could also serve as a straightforward introduction for numerical analysts to an interesting area of GPS.

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“…For example, Hatch [6], Ashjaee [1] and Goad [4] studied how to generate the so-called carriersmoothed code measurements by using carrier phase and code measurements. Kleusberg [10], Hwang and Brown [8], Teunissen [13], Jin [9] and Tiberius [15] investigated how to use carrier phase and code measurements in GPS kinematic positioning. In [15] different combinations of these two types of measurement with different frequencies were considered.…”

Section: Introductionmentioning

confidence: 99%

Code and carrier phase based short baseline GPS positioning: computational aspects

2004

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A recursive least squares algorithm is presented for short baseline GPS positioning using both carrier phase and code measurements. We take advantage of the structure of the problem to make the algorithm computationally efficient and use orthogonal transformations to ensure that the algorithm is numerically reliable. Details are given for computing position estimates and error covariance matrices with possible satellite rising and setting. Real data test results suggest our algorithm is effective.

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GPS Navigation: Combining Pseudorange with Continuous Carrier Phase Using a Kalman Filter

Cited by 42 publications

References 3 publications

WAW Location-based Service Positioning

WAW Location-based Service Positioning

An Algorithm for Combined Code and Carrier Phase Based GPS Positioning

Code and carrier phase based short baseline GPS positioning: computational aspects

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