基于广义卡尔曼-布西滤波的压缩光相位自适应估计方法

应用量子理论获取导航测角中的相位参数，有望获取超越经典理论极限的定位精度.在利用量子零拍探测测量相位压缩光的相位时，本振相位与待测相位在正交的前提下得到的零拍电流受到散粒噪声的影响最小.为了保证本振相位能够时刻满足此条件，并考虑到导航系统非线性和实时性的特点，基于广义卡尔曼-布西滤波设计了零拍锁相环，对本振相位进行实时的反馈控制，进而实现对压缩光相位的实时估计.理论分析以及仿真结果表明，利用压缩光作为信号场获取相位参数时能够突破散粒噪声的限制，提高导航测角系统的定位精度，并且在最优压缩度处相位估计精度最高，最优压缩度取决于压缩光强度以及测量系统的相位稳定性. 

Adaptive Squeezed State Phase Estimation Based on Extended Kalman-Bucy Filter

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.