【摘要】：頻譜泄漏和柵欄效應(yīng)是影響衰減信號離散傅里葉變換精度的主要因素。為了提高多頻衰減信號離散傅里葉變換頻譜參數(shù)的校正精度,提出一種加窗兩點矢量插值校正算法。對信號加M階余弦窗并計算加窗后信號的離散傅里葉變換,利用真實頻率附近的兩根譜線的矢量比建立方程,通過求解方程獲得頻率偏移量和衰減因子,利用上述獲得的兩個參數(shù)計算出信號的頻率、幅值和相位。余弦窗的最大旁瓣衰減特性能有效的降低頻譜泄漏的影響,兩點矢量頻域插值可以消除柵欄效應(yīng),兩者結(jié)合極大地提高了算法的參數(shù)校正精度。仿真和試驗結(jié)果表明,算法具有較高的參數(shù)校正精度和穩(wěn)定性,且計算效率較高,適用于實時處理及對計算資源要求苛刻的場合,為多頻衰減信號的特征提取提供了一種可選的方法。
[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.
【作者單位】： 西安交通大學(xué)機械工程學(xué)院;陜西師范大學(xué)計算機科學(xué)學(xué)院;
【基金】：國家重點基礎(chǔ)研究發(fā)展計劃(973計劃,2009CB724304) 國家自然科學(xué)基金(51275380,51175049) 陜西省科學(xué)技術(shù)研究發(fā)展計劃(2012K06-36) 陜西師范大學(xué)中央高校基本科研業(yè)務(wù)費(GK201102006)資助項目
【分類號】：TN911.6
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本文編號：2389872