摘要
为提高信号非整周期采样条件下相位差的估计精度,改善方法的抗噪性能,提出一种非整周期采样信号相位差估计的相频匹配方法。该方法通过两路正弦信号的分段Hilbert变换、互相关、自相关、相位加权平均等技术获得两路信号的相位差。理论分析表明,分段Hilbert变换有效抑制了正弦信号非整周期采样对Hilbert变换的影响。仿真实验结果表明,与互相关法、Hilbert变换法、数据延拓式相关法相比,该方法改善了非整周期采样信号的相位差估计方法的抗噪性能,提高了相位差的估计精度,其相位差估计误差更接近克拉美罗下限。科氏流量计流量检测实验证实了该方法的有效性。
To improve the precision and anti-interference performance of phase difference estimation for non-integer periods sampling signals, a phase and frequency matching based phase difference estimation method was proposed. The phase difference estimation was obtained by means of the segmented Hilbert transform to suppress the effect of non-integer periods sampling sinusoidal signals on the Hilbert transform. The simulation results demonstrate that compared with the methods of cross-correlation, Hilbert transform and data extension-based correlation, the proposed method has better phase difference estimation performance for non-integer periods sampling signals in terms of its estimation precision and anti-interference performance. Its phase difference estimation errors are closer to Cramer-Rao lower bound ( CRLB ) . The measurement experiments on the flow rates of Coriolis mass flowmeter validate the effectiveness of the proposed method.
出处
《振动与冲击》
EI
CSCD
北大核心
2017年第6期7-10,37,共5页
Journal of Vibration and Shock
基金
国家自然科学金(61271449
61302175)
重庆市自然科学基金(CSTC2015jcyj BX0017)
重庆市研究生科研创新项目(CYB14100)
关键词
相位差估计
相频匹配
非整周期采样
分段ffilbert变换
phase difference estimation
phase and frequency matching
non-integer periods sampling
segmented Hilbert transform