论文标题
在有限时间内多螺丝信号的频率估计
Frequency Estimation of Multi-Sinusoidal Signals in Finite-Time
论文作者
论文摘要
本文认为，在有限时间内由n个鼻窦组成的多螺丝信号的频率估计问题。使用基于将延迟操作员应用于可测量信号的参数化方法。结果是具有N参数的第n阶线性回归模型，该模型取决于信号频率。我们建议使用动态回归器扩展和混合方法，用n一阶回归模型替换N阶回归模型。然后，使用标准梯度下降方法将每个回归模型参数分别估计。在下一步中，使用代数方程发现有限时间频率估计。所述方法不需要测量或计算输入信号的衍生物，而仅使用信号测量。通过一组数值模拟证明了所提出的方法的效率。
This paper considers the problem of frequency estimation for a multi-sinusoidal signal consisting of n sinuses in finite-time. The parameterization approach based on applying delay operators to a measurable signal is used. The result is the nth order linear regression model with n parameters, which depends on the signals frequencies. We propose to use Dynamic Regressor Extension and Mixing method to replace nth order regression model with n first-order regression models. Then the standard gradient descent method is used to estimate separately for each the regression model parameter. On the next step using algebraic equations finite-time frequency estimate is found. The described method does not require measuring or calculating derivatives of the input signal, and uses only the signal measurement. The efficiency of the proposed approach is demonstrated through the set of numerical simulations.
