Algebraic Solution of GPS Equations Based on HouseHold Transformation

Abstract:

Processing strategy of receiver clock error offset in least squares and Kalman filtering method for global navigation satellite system (GNSS) solution is mentioned. Disabled clock error offsets will be eliminated through matrix transformation. Due to the fact that Kalman filter algorithm is sensitive to computer foundoff, HouseHold transformation is put in GNSS parameter solution. According to the properties of its initial reflective matrix, this method is proved to be effectively. It is found that the computer roundoff can be eliminated, which is more elegant in theory. Plus, the solution using HouseHold transformation is more space saving and efficient.