Research on the estimation of GPS phase ambiguities by triple frequency observations
Guorong Yu, Liu Jing-nan
Abstract
Guorong Yu, Liu Jing-nan
Abstract
As a part of modernization of GPS, a new signal with a frequency of 1 176.45 MHz will be made available to the civilian community and can provide more measurements for positioning in combination with the well known L1 and L2 signals. Applying the law of variance-covariance propagation, the correlation of triple-frequency ambiguity is discussed, the L1 ambiguity is week correlate with wide lane and long wide lane ambiguity. Under a comprehensive analysis of linear combination, no matter how long the baseline is, the ambiguities of long wide lane carrier phase combination can be determined using code measurements directly, ambiguity of short baseline can be fixed fast because of very small standard error of ambiguities of many linear combinations, the main efforts of TCAR are ambiguity resolution of long baseline. The ionosphere-free combinations used widely are not suitable for ambiguity resolution because of very short wavelength with high noise and very large standard error of ambiguity. The smoothing procedure reduces the standard errors of code and also can improve ambiguity estimation, the ambiguity of wide-lane, in long baseline case, can be rounded to the nearest integer within six epochs.
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As a part of modernization of GPS, a new signal with a frequency of 1 176.45 MHz will be made available to the civilian community and can provide more measurements for positioning in combination with the well known L1 and L2 signals. Applying the law of variance-covariance propagation, the correlation of triple-frequency ambiguity is discussed, the L1 ambiguity is week correlate with wide lane and long wide lane ambiguity. Under a comprehensive analysis of linear combination, no matter how long the baseline is, the ambiguities of long wide lane carrier phase combination can be determined using code measurements directly, ambiguity of short baseline can be fixed fast because of very small standard error of ambiguities of many linear combinations, the main efforts of TCAR are ambiguity resolution of long baseline. The ionosphere-free combinations used widely are not suitable for ambiguity resolution because of very short wavelength with high noise and very large standard error of ambiguity. The smoothing procedure reduces the standard errors of code and also can improve ambiguity estimation, the ambiguity of wide-lane, in long baseline case, can be rounded to the nearest integer within six epochs.
Key concepts: Ambiguity resolution, Ambiguity, Covariance, Computer science, Global Positioning System, Algorithm, Smoothing, Baseline (sea)