Euler angle dilution of precision in GPS attitude determination

The geometric dilution of precision (GDOP) is a useful parameter that indicates the effectiveness of the GPS satellite geometry on the positional navigation performance. In this work, the concept of the dilution of precision is extended to the attitude navigation solution. A new set of parameters, referred to as the Euler angle dilution of precision (EADOP), is defined. The validity and the usefulness of the new parameters are verified through simulations. Two scenarios involving a stationary platform and a moving platform are investigated. The results show that the EADOP is a good indication of the expected accuracy of the Euler angle estimates.