Ionosphere-Free Combinations for Triple-Frequency GNSS with Application in Rapid Ambiguity Resolution Over Medium-Long Baselines

Aiming at rapid precise positioning by triple-frequency Global Navigation Satellite System (GNSS) over medium-long baselines, the application of triple-frequency ionosphere-free combinations in ambiguity resolution and precise positioning is analyzed. The analytical expression of linear coefficients of them is deduced, and the influences of various errors on ambiguity resolution and precise positioning are evaluated. Considering that the wavelength of optimal ionosphere-free combinations is too small, a method for decomposing the ambiguity of triple-frequency ionosphere-free combinations is presented, and the formula to calculate the virtual wavelength of them is given. In addition, an algorithm for narrow-lane ambiguity resolution is proposed, which is immune to systematic errors. It is proved that the resolutions of narrow-lane ambiguity by this proposed method are equal, with any wide-lane combinations that the sum of linear coefficients of them is equal to zero.

[1]  Naser El-Sheimy,et al.  Optimal linear combinations of triple frequency carrier phase data from future global navigation satellite systems , 2006 .

[2]  Jaewoo Jung,et al.  Civilian GPS: The Benefits of Three Frequencies , 2000, GPS Solutions.

[3]  Yanming Feng.  GNSS three carrier ambiguity resolution using ionosphere-reduced virtual signals , 2008 .

[4]  Omid Kamali,et al.  A systematic investigation of optimal carrier-phase combinations for modernized triple-frequency GPS , 2008 .

[5]  R. R. Hatch,et al.  A New Three-Frequency, Geometry-Free, Technique for Ambiguity Resolution , 2006 .

[6]  Bofeng Li,et al.  A new method for medium and long range three frequency GNSS rapid ambiguity resolution , 2009 .

[7]  Dennis Odijk,et al.  GNSS long baseline ambiguity resolution impact of a third navigation frequency , 2000 .

[8]  M. Martin-Neira,et al.  Carrier Phase Ambiguity Resolution in GNSS-2 , 1997 .

[9]  L. Landau,et al.  Analysis of Three-Carrier Ambiguity Resolution Technique for Precise Relative Positioning in GNSS-2 , 1998 .

[10]  G. Blewitt.  Carrier Phase Ambiguity Resolution for the Global Positioning System Applied to Geodetic Baselines up to 2000 km , 1989 .

[11]  Wang Zemin.  Model of Inter-Frequency Combinations of Galileo GNSS , 2003 .

[12]  Peter Teunissen,et al.  Will geometry-free full ambiguity resolution be possible at all for long baselines , 2001 .

[13]  Peter Teunissen,et al.  Evaluation of long range GNSS ambiguity resolution , 2000 .

[14]  Dennis Odijk,et al.  Triple-frequency ionosphere-free phase combinations for ambiguity resolution , 2002 .

[15]  Chris Rizos,et al.  The Impact of Two Additional Civilian GPS Frequencies on Ambiguity Resolution Strategies , 1999 .

[16]  G. Gendt,et al.  Resolution of GPS carrier-phase ambiguities in Precise Point Positioning (PPP) with daily observations , 2008 .

[17]  Dennis Odijk,et al.  Ionosphere-Free Phase Combinations for Modernized GPS , 2003 .

[18]  Bofeng Li,et al.  Three carrier ambiguity resolution: distance-independent performance demonstrated using semi-generated triple frequency GPS signals , 2010 .