相干态相位的最优估计与跟踪方法  

Optimal estimation and tracking of coherent state phase

作　　者：徐涵 陈树新[1] 吴昊[1] 洪磊 崔军辉[2,3] XU Han;CHEN Shuxin;WU Hao;HONG Lei;CUI Junhui(Information and Navigation College,Air Force Engineering University,Xi’an Shaanxi 710077,China;Graduate School,Air Force Engineering University,Xi’an Shaanxi 710077,China;69220 Army,Akesu Xinjiang 842000,China)

机构地区：[1]空军工程大学信息与导航学院通信系统教研室,陕西西安710077 [2]空军工程大学研究生院,陕西西安710077 [3]解放军69220部队,新疆阿克苏842000

出　　处：《太赫兹科学与电子信息学报》2020年第6期1010-1014,1024,共6页Journal of Terahertz Science and Electronic Information Technology

基　　金：国家自然科学基金资助项目(61703420,61673392)。

摘　　要：在传统量子相位跟踪方法中,通常对输出结果进行线性化处理,这对本振相位和信号相位有严格的限制要求,且并不适用于如干涉法测角等导航系统。为此,本文将零拍输出形式进行等价变换,设计了一种最大似然估计迭代算法,实现了相干态相位跟踪。与传统线性化的量子相位跟踪方法相比,避免引入线性化误差,更加适用于导航系统中信号相位跟踪;通过计算Fisher信息矩阵,证明此方法在理论上能够达到量子克拉美-罗下界,具有最优估计性能。In the traditional quantum phase tracking method,the output results are usually linearized,which has a strict limit on the local oscillator phase and signal phase,therefore,it is not applicable to the angle measurement by interferometry.In this paper,the quantum homodyne output is transformed and an iterative algorithm for maximum likelihood estimation is designed to realize the coherent state phase tracking.The Fisher information matrix is calculated to show that the proposed method can reach the quantum Cramer-Rao bound theoretically and has the best estimation.

关 键 词：量子相位跟踪 干涉法测角 最大似然估计迭代算法 克拉美-罗下界 

分 类 号：TN964[电子电信—信号与信息处理]