| 分数型布朗运动在模拟脑电图中的应用 |
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| 引用本文： | 何慧,瞿波.分数型布朗运动在模拟脑电图中的应用[J].南通大学学报(自然科学版),2012,11(3):76-80. |
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| 作者姓名： | 何慧 瞿波 |
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| 作者单位： | 南通大学理学院,江苏南通,226007 |
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| 摘 要： | 通过求圆规维数的方法计算了癫痫病人在脑电图出现不正常时的分形维数,并和一般情况下的分形维数作了比较，然后把所求出的维数用分数型布朗运动模拟出分形曲线,实例分析结果表明：癫痫病人的脑电图的分形维数在癫痫发作时可达1．26，而一般情况下的分形维数为1左右；用分数型布朗运动来模拟癫痫病人的脑电图分形曲线，得到的结果和原始曲线有相似之处，说明了分数型布朗运动是模拟癫痫病人的脑电图分形曲线的有效方法．
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| 关 键 词： | 布朗运动 运动模拟 脑电图 分数 分形维数 分形曲线 应用 癫痫病 |
Application of Fractional Brownian Motion in Modelling the Electroencephalogram |
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| Authors: | HE Hui QU Bo |
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| Institution: | (School of Sciences,Nantong University,Nantong 226007,China) |
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| Abstract: | The structured walk technique is used for easy calculation of electroencephalogram(EEG) fractal dimension for Epilepsy patient in abnormal condition and compared to the normal condition.The calculated fractal dimensions then used to simulate the fractal curves using fractional Brownian motion.The result shows that the EEG fractal dimension for Epilepsy patient in abnormal condition can reach to 1.26,while EEG fractal dimension for normal condition is around 1.The results revealed by fractional Brownian motion through simulating EEG curves for Epilepsy patient in different stages resembles the original patterns,which confirms that fractional Brownian motion is an effective method. |
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| Keywords: | fractional Brownian motion electroencephalogram fractional dimension Epilepsy patient |
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