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An efficient algorithm for frequency estimation from cosine-sum windowed DFT coefficients

机译:从余弦和加窗DFT系数进行频率估计的有效算法

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摘要

This paper presents an algorithm for estimating frequency of a complex sinusoid from three DFT coefficients. In particular, we consider the case where the signal is multiplied by a generic cosine-sum window for interference suppression. The algorithm is an interpolator that uses the peak sample in the DFT of the data and its two neighbors. The interpolator is based on a numerically efficient procedure which guarantees convergence to a solution. Performance of the proposed interpolator is shown to be nearly optimum and comparable to the best interpolator in the literature, while the computational burden required for the proposed algorithm is much lower than the generic numerical methods available. Degradation of performance due to interference is also investigated. (C) 2019 Elsevier B.V. All rights reserved.
机译:本文提出了一种从三个DFT系数估计复杂正弦波频率的算法。特别地,我们考虑将信号乘以通用余弦和窗口以抑制干扰的情况。该算法是一种内插器,它使用数据及其两个邻居的DFT中的峰值样本。内插器基于数字有效过程,可确保收敛到解。所提出的内插器的性能被证明是近乎最佳的,并且可以与文献中的最佳内插器相媲美,而所提出的算法所需的计算负担却远低于可用的通用数值方法。还研究了由于干扰导致的性能下降。 (C)2019 Elsevier B.V.保留所有权利。

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