基于旋转不变技术实现频率/相位差/幅度比联合估计

Joint Frequency/Phase Difference/Amplitude Ratio Estimation Via Rotational Invariance Techniques——The ESPRIT Method

  • 摘要: 提出一种联合估计多个正弦波信号的频率/相位差/幅度比的算法.该算法首先将幅度比估计转换为相位估计,然后形成特定的数据矩阵,由各分块矩阵之间的关系,利用旋转不变技术(ESPRIT)实现频率和相位的估计,通过对相位进行分离获得各谐波分量对应的相位差和幅度比的估计.计算机仿真结果表明,当S/N增大时,频率、相位差和幅度比估计值的标准误差均趋于0.ESPRIT方法可用于估计雷达信号的多普勒频率、相位差和幅度比,并由此得到目标的运动参数.

     

    Abstract: An efficient algorithm for estimating the frequency/phase difference/amplitude ratio of multiple sinusoid signals is presented in this paper. The problem for estimating amplitude ratio is transformed into the estimation of phase. A specific data matrix is formed and an ESPRIT-like shift-invariance technique used to separate and estimate the frequency and phase which can be further separated for the estimation of phase difference and amplitude ratio. Computer simulation results illustrate standard deviations of frequency, phase differences and amplitude ratio estimations tend to approach zero when S/N increases. ESPRIT can be used to estimate Doppler frequency, phase differences and amplitude ratio of radar signals and on the basis of these values moving parameters of targets can be further estimated.

     

/

返回文章
返回
Baidu
map