Abstract

AbstractAiming 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.KeywordsTriple-frequencyIonosphere-free combinationGeometry-free and ionosphere-free combinationMedium-long baselineAmbiguity resolution

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