A Graphic Representation of the Necessary Condition for the MAFA Method

Cellmer, Sławomir

doi:10.1109/tgrs.2011.2161321

Cited by 29 publications

(23 citation statements)

References 6 publications

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“…Therefore, different techniques of improving the efficiency of the MAFA method have been proposed. Three of them are the most important: cascade adjustment, integer de-correlation and search procedure (Cellmer, 2012;2013) These procedures allow obtaining the correct solution, even if the a priori position is several meters away from the actual one. The tests performed show that the strategy is highly efficient and allows to obtain a precise position from a single epoch.…”

Section: Development Of Ambiguity Function Methodsmentioning

confidence: 99%

Positioning and applications

Rogowski¹,

Wielgosz²

2015

Geodesy and Cartography

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Abstract:The paper presents national report of Poland for IAG on positioning and applications. The selected research presented was carried out at leading Polish research institutions and concern precise multi-GNSS satellite positioning -relative and absolute -and also GNSS-based ionosphere and troposphere modelling and studies. The research resulted in noticeable advancements in these subjects confirmed by the development of new algorithms and methods. New and improved methods of precise GNSS positioning were developed, and also GNSS metrology was studied. New advanced troposphere models were presented and tested. In particular, these models allowed testing IPW variability on regional and global scales. Also, new regional ionosphere monitoring web-based services were developed and launched.

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Section: Development Of Ambiguity Function Methodsmentioning

confidence: 99%

Positioning and applications

Rogowski¹,

Wielgosz²

2015

Geodesy and Cartography

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“…The integer nature of the ambiguities is taken into account in this method. The MAFA method has been widely described in many articles (Cellmer et al 2010Cellmer 2011aCellmer , 2011bCellmer , 2012aCellmer , 2013. The MAFA method can be easily used for one epoch positioning (Kwaśniak et al 2016;Cellmer 2012b).…”

Section: Gps and Galileomentioning

confidence: 99%

“…The method mainly used is the LAMBDA method. For this test the MAFA method was used (Cellmer et al 2010;Cellmer 2011aCellmer , 2011bCellmer , 2012aCellmer , 2013. The test presented in this paper was performed on data obtained from one IGS and one MGEX station in the RTK mode.…”

Section: Introductionmentioning

confidence: 99%

Precise positioning in Europe using the Galileo and GPS combination

Kwaśniak

Cellmer

Nowel

2017

Proccedings of 10th International Conference "Environmental Engineering"

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Abstract. For many years American GPS and Russian GLONNAS were the leading navigation systems widely used for navigation purposes. In recent years two new navigational systems have been developed. These systems are the European Galileo system and the Chinese BeiDou System. The full operability of both systems is foreseen for 2020. The full Galileo constellation will consist of 30 Medium Earth Orbit (MEO) satellites. In this paper the GPS and Galileo combination is used to obtain precise positions using the MAFA method. Results from GPS only and GPS+Galileo positioning are presented. In the test 11 Galileo satellites were used. The number of visible GPS satellites during the test was between 8 and 12. For Galileo the number of visible satellites was between 2 to 4, with 4 satellites visible for most of the day. Adding Galileo satellites to GPS reduces the PDOP factor value and improves the DGNSS and RTK results.

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“…Voronoi cells (Cellmer 2012), having each of them a single local optimum. Each region 118 corresponds to a set of integer ambiguities, and among the points in a region (representing 119 possible coordinate solutions) the local optimum is the best coordinate solution compatible 120 with the set of ambiguities.…”

Section: Figure 1 116mentioning

confidence: 99%

Ambiguity-Free Method for Fast and Precise GNSS Differential Positioning

Baselga

2014

J. Surv. Eng.

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Methods based on integer ambiguity determination, such as the least squares 6 ambiguity decorrelation adjustment (LAMBDA) method, are currently used for precise global 7 navigation satellite systems (GNSS) differential positioning. In the present paper we propose 8 an ambiguity-free method based on a dedicated mixed (stochastic/deterministic) optimization 9 algorithm that unlike the LAMBDA method is capable of providing reliable and accurate 10 results using few observation epochs (e.g. 1-cm accuracy with just two epochs) having the 11 additional advantages of insensitiveness to cycle slips and impossibility of wrong ambiguity 12 fixation. In addition, we will demonstrate that the application of the linear (deterministic) part 13 of our algorithm yields the correct baseline results much easier and faster than methods 14 requiring integer ambiguity determination provided the initial approximate coordinates are 15 accurate to a few centimeters. However, the use of ambiguity-free methods requires that the 16 integer character of the ambiguities be preserved so that they can be eliminated; therefore no 17 ionosphere-free combination can be computed and the methods are valid only for short 18 baselines (e.g. less than 10 km).

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A Graphic Representation of the Necessary Condition for the MAFA Method

Cited by 29 publications

References 6 publications

Positioning and applications

Positioning and applications

Precise positioning in Europe using the Galileo and GPS combination

Ambiguity-Free Method for Fast and Precise GNSS Differential Positioning

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