On the Estimation of the Parameters of a Real Sinusoid in Noise
On the Estimation of the Parameters of a Real Sinusoid in Noise
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DOI：
10.1109/lsp.2017.2684223
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发表时间：
2017-03
影响因子：
3.9
通讯作者：
Shanglin Ye;Jiadong Sun;E. Aboutanios
中科院分区：
文献类型：
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作者：
Shanglin Ye;Jiadong Sun;E. Aboutanios
我们提出并全面分析了一种计算效率高的算法来估计噪声中的真实的正弦信号的参数。该方法使用快速傅立叶变换，因此计算效率高。考虑到由于负频谱分量引起的干扰，允许非常准确地估计频率。估计的幅度和相位的过程中得出的，是必要的抑制泄漏。理论分析表明，该估计量是渐近无偏的，且达到了Cramér-Rao下界.仿真结果验证了理论的正确性，并表明该估计器的估计性能上级文献中的其他估计器。
We propose and comprehensively analyze a computationally efficient algorithm to estimate the parameters of a real sinusoidal signal in noise. This method uses the fast Fourier Transform and is, therefore, computationally efficient. Accounting for the interference due to the negative spectral component allows the frequency to be estimated very accurately. Estimates of the amplitude and phase are derived in the process and are necessary for the suppression of the leakage. Theoretical analysis establishes that the estimator is asymptotically unbiased and achieves the Cramér–Rao lower bound. Simulation results are presented to verify the theory and demonstrate that the estimation performance is superior to other estimators in the literature.