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Ambiguity solution of GPS rapid precise positioning based on Wavelet transform

GUO Qiu-ying,CHEN Qi-huai(School of Civil Engineering,Shandong Jianzhu University,Jinan250101,China)  
For GPS short baseline,double-differenced carrier measurements mainly include distance information and observation error,the latter is high frequency observation noise,because most of systematic biases are eliminated,such as orbit biases,atmospheric biases,receiver and satellite clock biases,and so on.The wavelet transform can be used to achieve enough frequency resolution to discriminate observation noise in the original double-differenced carrier measurements.In this paper,GPS double-differenced carrier measurements are decomposed and recomposed using Coiflets wavelet base by 5 scaling function,and the high-frequency noise is removed.Then the de-noised double-differenced measurements are used to estimate unknown parameters to reduce the effect of measurement noise on the solution of ill-conditioned equations.Examples shows that the method can greatly improve the precision of float solution of ambiguity in GPS rapid positioning,which can fixed ambiguities successfully only by a few epochs' observations.
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