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Phase correction autocorrelation-based frequency estimation method for sinusoidal signal

机译:基于相位校正自相关的正弦信号频率估计方法

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摘要

To improve the precision of frequency estimation, a phase correction autocorrelation-based frequency estimation method for sinusoidal signal is proposed. Firstly, a phase correction autocorrelation is developed to reduce the effect of non-half period sampling signal on autocorrelation. Secondly, reference signal is generated according to phase correction autocorrelation signal. Finally, an error function between phase correction autocorrelation signal and reference signal is constructed and frequency estimation is obtained by calculating the minimum of error function. To demonstrate the superiority of the proposed method, computational complexity is analyzed, simulations and experiments are performed. Theoretical analysis and simulations demonstrate that the proposed method reduces the influence of non- half period sampling signal and has better frequency estimation performance than the interpolated DFT method, the modified covariance method for correlation, the two-stage autocorrelation method and the expanded autocorrelation method. The measurement experiments of LFMCW radars validate the effectiveness and superiority of the proposed method in practice.
机译:为了提高频率估计的精度,提出了一种基于相位校正自相关的正弦信号频率估计方法。首先,开发了相位校正自相关以减少非半周期采样信号对自相关的影响。其次,根据相位校正自相关信号产生参考信号。最后,构造相位校正自相关信号和参考信号之间的误差函数,并通过计算误差函数的最小值来获得频率估计。为了证明该方法的优越性,分析了计算复杂度,并进行了仿真和实验。理论分析和仿真结果表明,与插值DFT方法,改进的相关性协方差方法,两阶段自相关方法和扩展自相关方法相比,该方法减少了非半周期采样信号的影响,具有更好的频率估计性能。 LFMCW雷达的测量实验证明了该方法在实践中的有效性和优越性。

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