四元数在时延和方向角同时估计中的应用  

Joint Time Delay and DOA Estimation Based on Quaternion

作　　者：武永贵[1] 王树勋[1] 汪飞[1] 

机构地区：[1]吉林大学通信工程学院,长春130025

出　　处：《吉林大学学报（信息科学版）》2005年第5期449-455,共7页Journal of Jilin University（Information Science Edition）

基　　金：国家自然科学基金资助项目(60172032);博士点专项基金资助项目(2001404)

摘　　要：针对阵列信号处理中时延、方向角的同时估计问题,提出了时延、方向角的四元数模型,使得估计时延、方向角二维问题类似于估计一维问题,从而避免了在经典的二维复数模型估计中直接或间接的配对问题。在分析四元数的定义的基础上,利用训练序列估计信道特性,通过傅立叶变换和反卷积对信道模型进行变换,得到信号的四元数模型。并通过构造类似一维ESPR IT(Estim ating S ignal Param eter via Rotational InvarianceTechn iques)方法同时估计信号的时延和方向角。仿真实验表明,提出用一个四元数将时延、方向角二维信号参量“捆绑”在一起,可以摆脱二维信号参量的分维配对这一难题。Aimed at the estimation of time delay τi and directions of arrival θi of the sources, quaternion model of the time delay and the DOA （ Direction-of-Arrival ） was advanced in this paper. The estimation of the time delay and the DOA was similar to estimation of one-dimensional azimuths in this method which avoid pair steps directly or indirectly based on the complex model. First, the channel characteristic was estimated by using the training signal and constructed the quaternion signal model through its Flourier transform. And we talked about the foreground of estimating the time delay and the DOA using the Hamilton quaternion. Some simulations illustrated that the quaternion model included two-dimensional signals, so we could get rid of the difficult problem of the pair steps.

关 键 词：阵列信号处理 时延和方向角估计 联合估计 四元数 

分 类 号：TN911.72[电子电信—通信与信息系统]