| 关于幅值平方相干函数(MSCF) |
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| 引用本文： | 谢正祥,钟雪飞,谢丹玫,马厚勋,李章勇,龚琼,王志芳,李虹. 关于幅值平方相干函数(MSCF)[J]. 中国医学物理学杂志, 2005, 22(3): 539-541,547 |
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| 作者姓名： | 谢正祥 钟雪飞 谢丹玫 马厚勋 李章勇 龚琼 王志芳 李虹 |
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| 作者单位： | 1. 重庆医科大学,重庆,400016
2. 重庆邮电学院,重庆,400065 |
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| 摘 要： | 首先,理论证明传统的幅值平方相干函数(MSCF),MSCxy(f)=|Sxy(f)|2/Sxx(f)Syy(f),等于1,所以不能用于提取任何信息.然后,以定义三个叫做二阶谱的概念为基础,证明了两个关于二阶谱的定理.作为二阶谱定理的推论,提出一类可以识别两信号间的相干性的四型新的MSCF,既有分量型,也有整体型的,而且说明了等于1或0的务件.
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| 关 键 词： | MSCF(幅值平方相干函数) 二阶谱 定理 推论 |
| 文章编号： | 1005-202X(2005)03-0539-03 |
On the Magnitude Squared Coherence Function (MSCF) |
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| XIE Zheng-xiang,ZHONG Xue-fei,XIE Dan-mei,MA Hou-xun,LI Zhang-yong,GONG Qiong,Wang Zhi-fang,LI Hong. On the Magnitude Squared Coherence Function (MSCF)[J]. Chinese Journal of Medical Physics, 2005, 22(3): 539-541,547 |
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| Authors: | XIE Zheng-xiang ZHONG Xue-fei XIE Dan-mei MA Hou-xun LI Zhang-yong GONG Qiong Wang Zhi-fang LI Hong |
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| Abstract: | At the first, it was theoretically proven that the traditional magnitude-squared coherence function (MSCF), MSCxy(f)=|Sxy(f)|2/Sxx(f)Syy(f), equal to 1, so that it can not be used to extract any information. Then, based on defining three conceptions called as the second order spectrum, two theorems about the second order spectrum were proven. To be the corollaries of the second order spectrum theorems, a kind (four types) of the new MSCF. Which could be used to recognize the coherence between two signals, either in each component or in integral, were proposed, and the conditions which equal 1 or 0, were illuminated. |
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| Keywords: | MSCF (magnitude-squared coherence function) second order spectrum theorem corollary |
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