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分数阶微分滤波器及高斯分布参数估计 被引量：2

Fractional-Order Differentiation Filter and Estimation of Gaussian Distribution Parameters
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摘要 设计了一种分数阶微分滤波器.利用此滤波器可实现信号的分数阶微分,使得分数阶微分计算简单化.首先,采用此滤波器获得高斯分布的分数阶微分;然后,通过对高斯分布的分数阶微分的分析,建立了高斯分布的分数阶微分的过零点与微分阶数之间的关系和高斯分布的分数阶微分的最大值与微分阶数之间的关系;最后,得到了一种估计高斯分布参数的新方法.* A fractional-order differentiation filter is designed to obtain fractional-order differential of a given signal and to simplify computation of the fractional-order differential. Firstly, a fractional-order differential of Gaussian distribution is obtained with the proposed filter. Secondly, the relationship between the differential order and the zerocrossing point of fractional-order differential of the Gaussian distribution is developed by analyzing the fractional-order differential of Gaussian distribution. Also, the relationship between the differential order and the maximum of the fractional-order differential of Gaussian distribution is developed. Finally, a novel method is presented to estimate the parameters of Gaussian distribution.
作者 李远禄 于盛林 郑罡
机构地区 南京航空航天大学自动化学院
出处 《信息与控制》 CSCD 北大核心 2006年第5期551-554,共4页 Information and Control
关键词 分数阶微分滤波器 高斯分布 分数阶微分 fractional-order differentiation filter Gaussian distribution fractional-order differential
分类号 TN713 [电子电信—电路与系统]
  • 相关文献

参考文献12

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共引文献47

同被引文献22

  • 1李晓宁,樊瑜波.剪切力环境下的血管平滑肌细胞图像分割技术研究(英文)[J].四川大学学报（自然科学版）,2007,44(2):284-288. 被引量：3
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引证文献2

二级引证文献19

信息与控制
2006年 第5期

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