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低相干函数频响函数的无偏差估计方法

A Method for Frequency Response Function Estimation of Low Coherence Function

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【作者】 张存良门玉贵孙衍全

【Author】 Zhang Cunliang Men Yugui Sun Yanquan (Mining Department,University of Science and Technology Beijing,100083)

【机构】 北京科技大学采矿系北京科技大学采矿系 北京100083北京100083

【摘要】 本文详细分析了现有输入噪声模型和输出噪声模型的抗噪声原理,提出了一种能同时抑制输入噪声和输出噪声的无偏差估计模型,它利用二次互功率谱代替通常估计中的自功率谱。使得由于噪声引起的误差可以通过多次平均完全消除。新估计模型的精度与输入噪声和输出噪声的水平无关,仅与统计次数有关。在输入、输出噪声不相关条件下,即使相干函数很低仍能通过多次平均获得具有足够精度的频响函数值。文章最后给出了不同噪声干扰下的(?)估计值、(?)估计值以及本文模型的(?)估计值,并与没有噪声干扰下的H_o 值进行比较。

【Abstract】 This paper analyses the noise refrain principle of current Input and Output Noise Models in detail,andfind the reason which causes the deviation is due to the Auto-power Spectrum,in which the noise can’t beeliminated by averaging.On this base,the paper develops a new kind of noise refrain model,it uses the“twice Cross-spectrum”instead of Auto-power spectrum,so the deviation caused by the noise can be elimi-nated fully by averaging.The new model can refrain Input and Output Noise without considernation ofnoise levels,and the accuracy only has relation with averaging times.On condition that Input Noise isn’tcoherent with Output Noise,even the Coherence function is very low,the Frequency Response Functioncan also be estimated at good accuracy.At the end of the paper,the results estimated by the new model andthe existing ones are presented.

  • 【文献出处】 振动工程学报 ,Journal of Vibration Engineering , 编辑部邮箱 ,1993年02期
  • 【分类号】TN911.72
  • 【被引频次】3
  • 【下载频次】81
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