A Method For Fine Resolution Frequency Estimation From Three DFT Samples
A Method For Fine Resolution Frequency Estimation From Three DFT Samples
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DOI：
10.1109/lsp.2011.2136378
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发表时间：
2011-06-01
影响因子：
3.9
通讯作者：
Candan, Cagatay
中科院分区：
文献类型：
--
作者：
Candan, Cagatay
在白噪声下观察到的复杂指数波形的参数估计通常分两个阶段来处理。在第一阶段中，通过对长度为N的输入应用N点DFT来找到粗略的频率估计。在第二阶段中，在第一阶段中确定的峰值周围进行精细搜索。本文提出的方法提供了一种更简单的选择。该方法提出了一种非线性关系，涉及在第一阶段中已经计算的三个DFT样本，以产生实值的、高分辨率的频率估计。对于大的N，估计器接近Jacobsen的估计器，并且提出了偏差校正，这对于小的和中等的N是特别重要的。
The parameter estimation of a complex exponential waveform observed under white noise is typically tackled in two stages. In the first stage, a coarse frequency estimate is found by the application of an N-point DFT to the input of length N. In the second stage, a fine search around the peak determined in the first stage is conducted. The method proposed in this paper presents a simpler alternative. The method suggests a nonlinear relation involving three DFT samples already calculated in the first stage to produce a real valued, fine resolution frequency estimate. The estimator approaches Jacobsen's estimator for large N and presents a bias correction which is especially important for small and medium values of N.