Abstract: It's expected to improve the positioning accuracy beyond the classical theory by using quantum parameter estimation theory to obtain the phase parameters in navigation angle measurement. When the phase squeezed state is detected by homodyne, the local oscillator phase should be orthogonal to the phase to be measured. In order to satisfy this condition, at the same time, considering the characteristics of nonlinear and real-time of the navigation system, a homodyne phase locked loop was designed based on extended Kalman-Bucy filter to provide real-time feedback control for the phase of the local oscillator and realize the real-time estimation of the phase of squeezed state. Theoretical analysis and simulation results show that, using squeezed state as a signal field to obtain the phase parameter, it can not only break through the limitation of shot noise, but also improve the positioning accuracy of navigation angle measuring system. And the phase estimation accuracy is the highest under the optimal squeezing level which depends on the intensity of the squeezed state and the phase stability of the measurement system.