基于Rife-Vincent窗衰减信号插值离散傅里叶变换
发布时间：2018-12-23 10:42
【摘要】：频谱泄漏和栅栏效应是影响衰减信号离散傅里叶变换精度的主要因素。为了提高多频衰减信号离散傅里叶变换频谱参数的校正精度,提出一种加窗两点矢量插值校正算法。对信号加M阶余弦窗并计算加窗后信号的离散傅里叶变换,利用真实频率附近的两根谱线的矢量比建立方程,通过求解方程获得频率偏移量和衰减因子,利用上述获得的两个参数计算出信号的频率、幅值和相位。余弦窗的最大旁瓣衰减特性能有效的降低频谱泄漏的影响,两点矢量频域插值可以消除栅栏效应,两者结合极大地提高了算法的参数校正精度。仿真和试验结果表明,算法具有较高的参数校正精度和稳定性,且计算效率较高,适用于实时处理及对计算资源要求苛刻的场合,为多频衰减信号的特征提取提供了一种可选的方法。
[Abstract]:Spectrum leakage and fence effect are the main factors that affect the accuracy of discrete Fourier transform (DFT) of attenuated signals. In order to improve the correction accuracy of discrete Fourier transform (DFT) spectral parameters of multi-frequency attenuation signals, a windowed two-point vector interpolation correction algorithm is proposed. Adding M-order cosine window to the signal and calculating the discrete Fourier transform of the signal after adding the window, the equation is established by using the vector ratio of two spectral lines near the real frequency, and the frequency offset and attenuation factor are obtained by solving the equation. The frequency, amplitude and phase of the signal are calculated by using the above two parameters. The maximum sidelobe attenuation characteristics of cosine window can effectively reduce the influence of spectrum leakage. Two-point vector frequency domain interpolation can eliminate the fence effect. The combination of the two can greatly improve the accuracy of the algorithm parameter correction. The simulation and experimental results show that the algorithm has high accuracy and stability of parameter correction, and has high computational efficiency. It is suitable for real-time processing and demanding computing resources. An optional method for feature extraction of multi-frequency attenuation signals is provided.
【作者单位】： 西安交通大学机械工程学院;陕西师范大学计算机科学学院;
【基金】：国家重点基础研究发展计划(973计划,2009CB724304) 国家自然科学基金(51275380,51175049) 陕西省科学技术研究发展计划(2012K06-36) 陕西师范大学中央高校基本科研业务费(GK201102006)资助项目
【分类号】：TN911.6
，
本文编号：2389872
[Abstract]:Spectrum leakage and fence effect are the main factors that affect the accuracy of discrete Fourier transform (DFT) of attenuated signals. In order to improve the correction accuracy of discrete Fourier transform (DFT) spectral parameters of multi-frequency attenuation signals, a windowed two-point vector interpolation correction algorithm is proposed. Adding M-order cosine window to the signal and calculating the discrete Fourier transform of the signal after adding the window, the equation is established by using the vector ratio of two spectral lines near the real frequency, and the frequency offset and attenuation factor are obtained by solving the equation. The frequency, amplitude and phase of the signal are calculated by using the above two parameters. The maximum sidelobe attenuation characteristics of cosine window can effectively reduce the influence of spectrum leakage. Two-point vector frequency domain interpolation can eliminate the fence effect. The combination of the two can greatly improve the accuracy of the algorithm parameter correction. The simulation and experimental results show that the algorithm has high accuracy and stability of parameter correction, and has high computational efficiency. It is suitable for real-time processing and demanding computing resources. An optional method for feature extraction of multi-frequency attenuation signals is provided.
【作者单位】： 西安交通大学机械工程学院;陕西师范大学计算机科学学院;
【基金】：国家重点基础研究发展计划(973计划,2009CB724304) 国家自然科学基金(51275380,51175049) 陕西省科学技术研究发展计划(2012K06-36) 陕西师范大学中央高校基本科研业务费(GK201102006)资助项目
【分类号】：TN911.6
，
本文编号：2389872
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