Yang Chao1, Zhang Huaiqing1, Wang Yao2, Li Bo3, Fu Zhihong1
1. State Key Laboratory of Power Transmission Equipment & System Security and New Technology Chongqing University Chongqing 400044 China; 2. Chongqing Triloop Prospecting Technology Co. Ltd Chongqing 402660 China; 3. Electric Power Research Institute of Yunnan Power Grid Co. Ltd Kunming 650217 China
Abstract：A multipoint interpolated DFT correction method based on total spectral leakage suppression is proposed for the short cycles in record (CiR) of multi-frequency signal. Firstly, the spectral leakage from other frequency components is equivalently approximated to a Taylor series polynomial by the linear proportional recursive property of the maximum sidelobe decay Windows (MSDW) spectrum. The spectral parametric model of total spectral leakage is then established combined with the negative leakage component of the measured frequency. Furthermore, the corresponding equations of multipoint spectral lines are established according to the approximate order of the spectral leakage, and then the general analytical formula of multipoint frequency interpolation correction under the MSDW is derived. Finally, the least squares (LS) method is used to obtain an accurate estimation of the amplitude and phase. Multiple simulation and experimental test show that the algorithm still has high correction accuracy when the measured frequency is as low as 1.5 frequency resolutions under noise and other frequency leakage interference of equal magnitude.
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2020, Vol. 35 
