Survey Review · 2009 · 31 citations · 14 references
ComputingGeoinformaticsGeodesyGlobal Navigation Satellite SystemsTime Series AnalysisCarrier Phase Ambiguity ResolutionDigital Signal ProcessingBaseline Ambiguity FixingCarrier Phase PositioningNon-stationary Time SeriesPositioning Error ModelingSignal Ambiguity ResolutionStatic PositioningStationary Time SeriesWavelet Analysis
In this paper, a new EMD-Wavelet based model is used to reduce carrier phase errors for precise static GPS positioning. The EMD is a new signal processing method for analysing non-linear time series, which decomposes a time series into a finite and often small number of Intrinsic Mode Functions (IMFs). The decomposition procedure is adaptive and data-driven. The IMFs are stationary which are more suitable for wavelet analysis. The merits of both the EMD and Wavelets are combined to produce an improved EMD-Wavelet systematic error extraction model. Thereafter, a method of the GPS baseline calculation based on the EMD-Wavelet systematic error mitigation model is suggested. The experimental results show that the proposed scheme dramatically improves the reliability of ambiguity resolution with a larger F-ratio and W-ratio index after systematic error elimination. KEYWORDS: Carrier phase. Errors. EMD-wavelet. Static positioning. Signal processing.
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Norden E. Huang, Steven Long, Man‐Li C. Wu et al. · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 1998 · 23.3K citations · Full text
Computing, Computational Engineering, Biomedical Signal Processing +16
De-noising by soft-thresholding
David L. Donoho · IEEE Transactions on Information Theory · 1995 · 9.6K citations