基于四元数模型的二维三次非线性相位耦合频率估计方法  

Cubic nonlinear phase coupling analyse of two-dimensional harmonic based on quaternion

作　　者：陈巧霞[1] 王树勋[1] 汪飞[2] 

机构地区：[1]吉林大学通信工程学院,长春130022 [2]南京航空航天大学信息与科学技术学院,南京210016

出　　处：《吉林大学学报（工学版）》2007年第5期1181-1186,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(60572069);高等学校博士学科点专项科研基金资助项目(20050183073)

摘　　要：针对二维三次非线性相位耦合分析中的分维配对问题进行了研究。构造了合适的基于四元数的二维谐波模型,根据此模型定义了特殊的四阶累积量切片,分析了加性高斯在有色噪声中的二维三次非线性相位耦合。该方法从理论上避免了复数模型分析二维三次非线性相位耦合时频率配对中可能产生的错误频率对以及有可能产生的二维频率估计精度的不平衡等问题。仿真实验验证了该方法的有效性。The frequency pairing of the two-dimensional （2D） cubic nonlinear phase coupling was studied. A 2D harmonic model based on the quaternion was constructed, and a special four-order cumulant was defined. The 2D cubic nonlinear phase coupling of additive color Gaussian noises was analyzed. Meanwhile, the corresponding estimation arithmetic of the coupling and coupled frequency pairs in quaternion domain was improved, that avoids the possible false frequency pairing and imbalance of 2D frequency estimation precision during the process of frequency pairing by complex model. Simulation results validate the effectiveness of the proposed model.

关 键 词：信息处理技术 四元数 二维谐波 三次非线性耦合 四阶累积量 

分 类 号：TN911.72[电子电信—通信与信息系统]