A statistical analysis of the least squares matching methods for single-tone frequency estimation is carried out in this paper. Based on asymptotic derivations, an accurate frequency variance expression is provided for different least squares matching methods with variable parameters. Two representative least squares matching methods are involved to show the validity of the variance expression, however, their performances have been proved suboptimal with current parameter settings. After wide discussion, we propose new strategies to choose parameters and achieve further improvements both in accuracy and computational efficiency.

中文翻译：

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关于实数正弦波频率估计的最小二乘匹配方法的统计分析

本文对单音频率估计的最小二乘匹配方法进行了统计分析。基于渐近导数，为具有可变参数的不同最小二乘匹配方法提供了准确的频率方差表达式。涉及两种代表性的最小二乘匹配方法来显示方差表达式的有效性，但是，在当前参数设置下，它们的性能已被证明次优。经过广泛讨论，我们提出了选择参数并在准确性和计算效率上都进一步提高的新策略。