Efficient 2-D Frequency and Damping Estimation by Interpolation on Fourier Coefficients
Efficient 2-D Frequency and Damping Estimation by Interpolation on Fourier Coefficients
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DOI：
10.1109/lsp.2012.2234453
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发表时间：
2013-02
影响因子：
3.9
通讯作者：
Shanglin Ye;E. Aboutanios
中科院分区：
文献类型：
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作者：
Shanglin Ye;E. Aboutanios
这封信集中在加性高斯噪声中的频率和阻尼因子的一个单一的二维阻尼复指数的有效估计。我们通过扩展基于FFT的频率估计，依赖于傅立叶系数插值2-D阻尼信号的估计。性能分析表明，该算法可以实现最小方差的固定点时，在两个迭代交错的方式实现。此外，我们提出了线性化版本的估计，使他们更适合实时DSP实现。我们还证明了，结合两个版本的算法的迭代实现是公正和准确的。
This letter focuses on the efficient estimation of the frequencies and damping factors of a single 2-D damped complex exponential in additive Gaussian noise. We derive the estimators by extending the FFT-based frequency estimator that relies on interpolation on Fourier coefficients to 2-D damped signals. Performance analysis shows that the algorithm can achieve minimum variances at the fixed point when implemented in an interleaved manner for two iterations. Furthermore, we propose linearized version of the estimators that render them more amenable to real-time DSP implementation. We also demonstrate that the iterative implementation of the algorithm combining both versions is both unbiased and accurate.