基于Rife-Vincent窗衰減信號(hào)插值離散傅里葉變換
發(fā)布時(shí)間：2018-12-23 10:42
【摘要】：頻譜泄漏和柵欄效應(yīng)是影響衰減信號(hào)離散傅里葉變換精度的主要因素。為了提高多頻衰減信號(hào)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(diǎn)矢量插值校正算法。對(duì)信號(hào)加M階余弦窗并計(jì)算加窗后信號(hào)的離散傅里葉變換,利用真實(shí)頻率附近的兩根譜線的矢量比建立方程,通過(guò)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(gè)參數(shù)計(jì)算出信號(hào)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(diǎn)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(yàn)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(jì)算效率較高,適用于實(shí)時(shí)處理及對(duì)計(jì)算資源要求苛刻的場(chǎng)合,為多頻衰減信號(hào)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(jī)械工程學(xué)院;陜西師范大學(xué)計(jì)算機(jī)科學(xué)學(xué)院;
【基金】：國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃(973計(jì)劃,2009CB724304) 國(guó)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(jì)劃(2012K06-36) 陜西師范大學(xué)中央高�；究蒲袠I(yè)務(wù)費(fèi)(GK201102006)資助項(xiàng)目
【分類(lèi)號(hào)】：TN911.6
，
本文編號(hào)：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.
【作者單位】： 西安交通大學(xué)機(jī)械工程學(xué)院;陜西師范大學(xué)計(jì)算機(jī)科學(xué)學(xué)院;
【基金】：國(guó)家重點(diǎn)基礎(chǔ)研究發(fā)展計(jì)劃(973計(jì)劃,2009CB724304) 國(guó)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(jì)劃(2012K06-36) 陜西師范大學(xué)中央高�；究蒲袠I(yè)務(wù)費(fèi)(GK201102006)資助項(xiàng)目
【分類(lèi)號(hào)】：TN911.6
，
本文編號(hào)：2389872
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