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When modeling for colored noise, order number and the coefficient of determination of the model is a difficult problem, real-time computing applicability is very good, although but increased filtering calculation burden. Therefore based on the polynomial approximation theory, this paper proposes a polynomial AR model to colored noise modeling, model coefficient and the order number and the polynomial order, only speed up the computing speed of the filter. Through an example for a GPS cycle slip detection effectiveness of the proposed algorithm is verified.

The application analysis of adaptive filter based on polynomial AR model in GPS dynamic positioning