摘要
针对大部分调制信号具有非圆信号特征的事实,提出一种具体的非圆率估计方法。首先,利用非圆信号的定义式,在理论上分别对作为例子的线性调频信号和二进制相移键控信号进行了非圆率的推导;然后,在理想情况下,利用采样得到的信号,根据最大似然原理推导出非圆率;最后,在高斯白噪声情况下,利用希尔伯特空间的正交分解,重构扩展导向矢量矩阵,再根据最大似然谱估计,构造一个关于非圆率的函数,通过对其共轭求导,得到调制信号的非圆率。通过仿真实验可以看出,该方法能对多个恒定非圆率信号同时入射时的非圆率作出估计,验证了线性调频信号的非圆率随调制时长而变化的特性。
Considering the fact that most of the modulation signals have the characteristics of non-circular signals,a specific estimation method for a non-circular rate is presented. First,the non-circular rate for the linear frequency modulation signal and binary phase shift keying signal was derived in theory by using the definition of non-circular signals,respectively. Second,according to the principle of maximum likelihood,the non-circular rate was deduced by using the signal obtained from the sample ideally. Finally,under the condition of Gaussian white noise,the rate of modulation signals was derived by using the orthogonal decomposition of Hilbert space,reconstructing extension direction vector matrix,and constructing a function about the non-circular rate according to the maximum likelihood spectrum estimation,and getting the non-circular rate of modulation signals by conjugate derivative of the function.The simulation experiment shows that this method can estimate the non-circular rate when arriving multiple constant rates of non-circular signals at the same time,and can verify the non-circular rate of linear frequency modulation signal changes with the length modulation.
出处
《应用科技》
CAS
2016年第2期5-9,共5页
Applied Science and Technology
基金
航空科学基金项目(201401P6001)
中央高校基本科研业务费专项(HEUCF150804)
关键词
调制信号
非圆信号
非圆率
线性调频信号
二进制相移键控信号
modulation signal
non-circular signal
non-circular rate
linear frequency modulation signal
binary phase shift keying signal
作者简介
司伟建(1971-),男,研究员,博士.
通信作者:禹芳,E-mail:yufang19900908@126.com.