线性调频信号(Liner Frequency Modulation,LFM)广泛应用于雷达、通信、地震勘测等领域,为了解决传统方法对其调频率和中心频率参数估计性能较差的问题,提出了基于一阶局部多项式傅里叶变换两级搜索(Two-step Search one-order Local Po...线性调频信号(Liner Frequency Modulation,LFM)广泛应用于雷达、通信、地震勘测等领域,为了解决传统方法对其调频率和中心频率参数估计性能较差的问题,提出了基于一阶局部多项式傅里叶变换两级搜索(Two-step Search one-order Local Polynomial Fourier Transform,TSLPFT1)和快速傅里叶变换(Fast Fourier Transform,FFT)的LFM信号参数估计方法。该方法利用LFM信号的一阶LPFT能量峰值特性估计调频率,再利用单频信号FFT的冲激特性来估计中心频率。首先,采用LPFT1粗搜索得到调频率的粗估计值,再利用LPFT1精搜索实现调频率的精确估计,然后根据估计参数对信号解线调,最后进行FFT峰值检测得到中心频率估计值。理论分析和仿真结果表明:与基于LPP-Hough变换或FRFT的参数估计方法相比,在信噪比大于0dB时本方法具有更高的估计精度,同时能够在较低信噪比下实现多分量LFM信号参数的有效估计。展开更多
直接定位(Direct Position Determination,DPD)算法相比于传统两步定位法,在低信噪比和复杂环境下具备更高定位精度和更强鲁棒性。研究表明加入信号波形信息能够有效提升DPD算法定位精度,但在实际无源定位场景中信号波形往往难以先验已...直接定位(Direct Position Determination,DPD)算法相比于传统两步定位法,在低信噪比和复杂环境下具备更高定位精度和更强鲁棒性。研究表明加入信号波形信息能够有效提升DPD算法定位精度,但在实际无源定位场景中信号波形往往难以先验已知,未知信号波形的DPD算法精度受限。针对这一问题,本文围绕无源定位系统中普遍存在的调制方式已知,但符号信息未知的数字调制信号,提出一种联合波形重构的数字调制信号直接定位(Direct Position Determination for digital Modulation signals,MDPD)方法。该方法依据最大似然准则,基于调制信号成型、接收阵列与辐射源位置几何关系,构建阵列接收信号关于信源符号和位置参数联合估计的代价函数,利用交替迭代降低信号高维搜索给参数联合估计带来的计算复杂度。仿真实验结果验证了联合波形重构的MDPD方法可行性,同时通过与已有两类定位方法的对比实验,得到本文MDPD可以达到更高定位精度,并在信噪比增加时收敛到渐进最优定位精度。展开更多
The generalized estimating equations(GEE) approach is perhaps one of the most widely used methods for longitudinal data analysis. While the GEE method guarantees the consistency of its estimators under working correla...The generalized estimating equations(GEE) approach is perhaps one of the most widely used methods for longitudinal data analysis. While the GEE method guarantees the consistency of its estimators under working correlation structure misspecification, the corresponding efficiency can be severely affected. In this paper, we propose a new two-step estimation method in which the correlation matrix is assumed to be a linear combination of some known working matrices. Asymptotic properties of the new estimators are developed.Simulation studies are conducted to examine the performance of the proposed estimators. We illustrate the methodology with an epileptic data set.展开更多
文摘直接定位(Direct Position Determination,DPD)算法相比于传统两步定位法,在低信噪比和复杂环境下具备更高定位精度和更强鲁棒性。研究表明加入信号波形信息能够有效提升DPD算法定位精度,但在实际无源定位场景中信号波形往往难以先验已知,未知信号波形的DPD算法精度受限。针对这一问题,本文围绕无源定位系统中普遍存在的调制方式已知,但符号信息未知的数字调制信号,提出一种联合波形重构的数字调制信号直接定位(Direct Position Determination for digital Modulation signals,MDPD)方法。该方法依据最大似然准则,基于调制信号成型、接收阵列与辐射源位置几何关系,构建阵列接收信号关于信源符号和位置参数联合估计的代价函数,利用交替迭代降低信号高维搜索给参数联合估计带来的计算复杂度。仿真实验结果验证了联合波形重构的MDPD方法可行性,同时通过与已有两类定位方法的对比实验,得到本文MDPD可以达到更高定位精度,并在信噪比增加时收敛到渐进最优定位精度。
基金Supported by the National Natural Science Foundation of China(No.11471068)
文摘The generalized estimating equations(GEE) approach is perhaps one of the most widely used methods for longitudinal data analysis. While the GEE method guarantees the consistency of its estimators under working correlation structure misspecification, the corresponding efficiency can be severely affected. In this paper, we propose a new two-step estimation method in which the correlation matrix is assumed to be a linear combination of some known working matrices. Asymptotic properties of the new estimators are developed.Simulation studies are conducted to examine the performance of the proposed estimators. We illustrate the methodology with an epileptic data set.
