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Low Complexity Residual Doppler Shift Estimation for Underwater Acoustic Multicarrier Communication

机译:水下声多载波通信的低复杂度残留多普勒频移估计

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摘要

We propose two computationally efficient residual Doppler shift estimation methods for underwater acoustic multicarrier communication. The first method is based on computing the phase of the root of a low order polynomial. The second method is a closed-form least squares estimate given the unwrapped phases of the minimal eigenvector of a small data matrix. The complexities of both estimates are significantly lower compared to the methods commonly used in underwater acoustic multicarrier communication, which result in nonlinear least squares estimators and thus require a fine grid search in the frequency domain. Numerical simulations show that the mean square errors of the proposed methods have similar performance as the common estimation techniques, achieve the Cramer–Rao lower bounds at low noise levels, and agree with their theoretically derived variances. Pool experiments and sea trial results further demonstrate that the suggested estimates yield similar results as the common nonlinear least squares estimates but at a lower complexity.
机译:我们为水下声学多载波通信提出了两种计算有效的残留多普勒频移估计方法。第一种方法基于计算低阶多项式的根的相位。第二种方法是给定小数据矩阵的最小特征向量的展开相位时的闭合形式最小二乘估计。与水下声多载波通信中常用的方法相比,这两种估计的复杂度都大大降低,这导致了非线性最小二乘估计,因此需要在频域中进行精细的网格搜索。数值模拟表明,所提出方法的均方误差具有与常用估计技术相似的性能,在低噪声水平下达到了Cramer-Rao下界,并且与它们的理论推导方差一致。水池实验和海试结果进一步表明,建议的估计结果与常见的非线性最小二乘估计结果相似,但复杂度较低。

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