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

In this paper, a GPS positioning algorithm by using the H-proportional to filter is presented. The algorithm is derived by combining the H-proportional to filter with the LAMBDA (Least squares AMBiguity Decorrelation Adjustment) method which can efficiently solve an integer least squares problem. In the H-infinity filtering, the filter performance strongly depends on the design parameter "gamma", so that the choice of the value of "gamma" is very important. After briefly reviewing the H-infinity filter, we also propose a simple algorithm that gives adequate value of "gamma". Finally, the proposed algorithm is examined by using the real receiver data which were obtained at two static points.