Reformulation of Pisarenko harmonic decomposition method for single-tone frequency estimation
Reformulation of Pisarenko harmonic decomposition method for single-tone frequency estimation
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DOI：
10.1109/tsp.2004.823473
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发表时间：
2004-04
影响因子：
5.4
通讯作者：
H. So;K. Chan
中科院分区：
文献类型：
--
作者：
H. So;K. Chan
基于正弦信号的线性预测特性，提出了一种白色噪声中真实的正弦信号频率的封闭形式无偏估计器。通过最小化约束最小二乘代价函数得到的频率估计器可以被认为是著名的Pisarenko谐波分解器（PHD）的重新表述。在线计算的频率估计可以实现在一个非常简单的方式，其方差推导。包括计算机模拟，以证实理论的发展，并与PHD，最大似然，LP为基础的方法，以及Crame/SPL急性/R-Rao下限的估计性能进行对比。
Based on the linear prediction (LP) property of sinusoidal signals, a closed-form unbiased frequency estimator for a real sinusoid in white noise is proposed. The frequency estimator, which is derived by minimizing a constrained least squares cost function, can be considered as a reformulation of the well known Pisarenko harmonic decomposer (PHD). Online computation of the frequency estimate can be achieved in a very simple manner, and its variance is derived. Computer simulations are included to corroborate the theoretical development and to contrast the estimator performance with the PHD, maximum likelihood, and LP-based methods as well as Crame/spl acute/r-Rao lower bound.