| 离散频谱能量重心法频率校正精度分析及改进 |
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| 引用本文： | 丁康,郑春松,杨志坚. 离散频谱能量重心法频率校正精度分析及改进[J]. 机械工程学报, 2010, 46(5). DOI: 10.3901/JME.2010.05.043 |
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| 作者姓名： | 丁康 郑春松 杨志坚 |
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| 作者单位： | 华南理工大学机械与汽车工程学院,广州,510640;广东省汽车工程重点实验室,广州,510640 |
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| 基金项目： | 国家自然科学基金(50875085,50605021);;广东省自然科学基金(9151064101000032)资助项目 |
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| 摘 要： | 研究噪声对离散频谱能量重心法的频率校正精度的影响,推导了在高斯白噪声背景下用能量重心法对加对称窗的离散频谱进行校正的频率误差理论公式,分析找错和找对最大值谱线情况下的理论误差和某些情况下校正误差较大的原因,为了提高能量重心校正法的频率校正精度,提出用谱线间相位差为阈值作为选择用3条或4条谱线进行校正依据的改进措施。通过对加Hanning窗的离散频谱进行计算机仿真计算,结果表明在大噪声背景下改进的能量重心校正法有很高的频率校正精度,与理论推导十分吻合,验证了理论推导的正确性,表明改进后的能量重心法具有更高的抗噪性能,扩大了能量重心校正法的工程应用范围。
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| 关 键 词： | 频率估计 频谱分析 能量重心 白噪声 |
Frequency Estimation Accuracy Analysis and Improvement of Energy Barycenter Correction Method for Discrete Spectrum |
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| DING Kang,ZHENG Chunsong,YANG Zhijian. Frequency Estimation Accuracy Analysis and Improvement of Energy Barycenter Correction Method for Discrete Spectrum[J]. Chinese Journal of Mechanical Engineering, 2010, 46(5). DOI: 10.3901/JME.2010.05.043 |
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| Authors: | DING Kang ZHENG Chunsong YANG Zhijian |
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| Affiliation: | 1.School of Mechanical & Automotive Engineering/a>;South China University of Technology/a>;Guangzhou 510640/a>;2.Guangdong Key Laboratory of Automotive Engineering/a>;Guangzhou 510640 |
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| Abstract: | The influence of noise on frequency estimation accuracy of energy barycenter correction method for discrete spectrum is studied.The theoretical formula for frequency estimation error is deduced by applying energy barycenter correction method for discrete spectrum in the presence of Gaussian white noise,which is multiplied by a symmetrical window function.The theoretical error is analyzed for either right or wrong maximal spectrum line searched and the reasons for the frequency estimation error increasing un... |
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| Keywords: | Frequency estimation Spectrum correction Energy barycenter White noise |
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