Cycle slips and outliers detection based on biorthogonal wavelet transform modulus maximum

Detecting and repairing carrier phase cycle slips is a challenge for precise satellite position. We propose a new algorithm for cycle slips and outliers detection based on biorthogonal wavelet transform modulus maximum. Our efficient technique takes advantage of the good local property and the symmetry of biorthogonal wavelet, thereby cycle slips and outliers have different behaviors on their biorthogonal wavelet transform. Using modulus maximum of their biorthogonal wavelet transform, cycle slips and outliers can be located and repaired efficiently.