四元数在方向角和多普勒频率同时估计中的应用  

Application of Quaternion in DOA and Doppler Frequency Estimation

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130022

出　　处：《吉林大学学报（工学版）》2005年第3期301-305,318,共6页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金资助项目(60172032);教育部博士学科点专项基金资助项目(2001404)

摘　　要：针对阵列信号处理中方向角、多普勒频率的同时估计问题,提出了方向角、多普勒频率的四元数模型,使估计方向角、多普勒频率二维问题与估计一维问题相类似,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。首先给出了阵列接受信号的二维实模型,通过可分离信号和Hilbert变换构造了符合四元数结构的新的信号模型。讨论了Hamilton四元数、马氏四元数及其与二维实信号类似的欧拉公式。最后通过定义一个特殊的四阶累积量提取加性高斯有色噪声中的方向角、多普勒频率。仿真实验验证了算法的有效性。Based on the estimation of the directions of arrival (DOA) and the Doppler frequencies of the sources, a quaternion model was proposed, which made the estimation of the DOA and the Doppler frequencies similar to that of one-dimensional azimuths so as to avoid direct and indirect pairing with the complex model. A real model of two-dimensional received signal was given and a quaternion signal model through Hilbert transform and separated signal was constructed. In addition, Hamilton quaternion, Ma quaternion and their Euler formula similar to that of two-dimensional real signal were discussed. A special four order cumulant was defined to extract DOAs and Doppler frequencies from additive Gaussian colored noise. Simulation results show that the proposed method is effective.

关 键 词：信息处理技术 高阶累积量 方向角和多普勒频率估计 阵列信号处理 四元数 

分 类 号：TN911.72[电子电信—通信与信息系统]