Carrier phase GPS positioning and ambiguity resolution by using H ∞ filters

In this paper, a GPS positioning algorithm using the H_∞ filter is presented. The algorithm is derived by combining the H _∞ filter with the LAMBDA (least squares ambiguity decorrelation adjustment) method which can efficiently solve an integer least squares problem. In the H_∞ filtering, the filter performance strongly depends on the design parameter “γ”, so that the choice of the value of “γ” is very important. After briefly reviewing the H _∞ filter, we also propose a simple algorithm that gives adequate value of “γ”. Finally, the proposed algorithm is examined by using the real receiver data which were obtained at two static points