Modified Pisarenko Harmonic Decomposition for Single-Tone Frequency Estimation
Modified Pisarenko Harmonic Decomposition for Single-Tone Frequency Estimation
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DOI：
10.1109/tsp.2008.920486
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发表时间：
2008-07
影响因子：
5.4
通讯作者：
K. Lui;H. So
中科院分区：
文献类型：
--
作者：
K. Lui;H. So
在这种对应关系中，基于Pisarenko谐波分解（PHD）方法的替代推导，一个新的渐近无偏估计的频率的一个真实的音在白色噪声设计与使用新的样本协方差表达式。此外，扩展到样本协方差与更高的滞后性能增强进行了研究，同时提出了一个简单而有效的方案来解决相应的频率模糊问题。修正的Pisarenko方法的方差也来自，然后利用它来找到最好的估计之间的所有容许的解决方案，从不同的样本协方差。包括计算机模拟，以证实理论的发展，并证明所提出的方法优于几个现有的低复杂度的频率估计器在几乎统一的性能和估计精度。
In this correspondence, based on an alternative derivation of the Pisarenko harmonic decomposition (PHD) method, a new asymptotically unbiased estimator for the frequency of a single real tone in white noise is devised with the use of novel sample covariance expressions. Furthermore, extension to sample covariances with higher lags for performance enhancement is investigated while a simple and effective scheme is suggested to resolve the corresponding frequency ambiguity problem. The variance of the modified Pisarenko's method is also derived, which is then utilized to find the best estimate among all admissible solutions from various sets of sample covariances. Computer simulations are included to corroborate the theoretical development and to demonstrate that the proposed approach outperforms several existing low-complexity frequency estimators in terms of nearly uniform performance and estimation accuracy.