GPS position solution algorithm based on the optimization theory

In order to solve the problems of the traditional positioning solution methods, a new position solution method which was maximum a posteriori estimation based on the optimization theory was put forward. The basic principle of the method was introduced, and the derivation of the algorithm was detailed. The algorithm was from the joint probability density function of the system state variables, observation variables, and then transformed the estimation problem into optimization problem, using the solution of the optimization problem to estimate the state variables of the system. On this basis, simulation experiments had been used to show the effectiveness of the method. The experimental results show that the method can completely solve the nonlinear problem of the position solution, and have a high positioning accuracy.