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Description: 首先,找出 上所有的极值点,然后用三次样条函数曲线循序连接所有的极大值点,得到信号 的上包络线 ,采用同样的方法连接所有的极小值点,得到 的下包络线 。循序连接上、下两条包络线的均值可得到一条均值线 :
(7-1)
再用 减去 得到 :
(7-2)
如果 满足IMF的两个条件,则 即为第一阶IMF,一般来说, 并不满足条件,此时,将 当作新的信号,重复上述步骤,即得:
(7-3)
这里, 为 的上、下包络线的均值。如果 仍然不满足IMF的条件,则继续筛选,重复上述方法k次,得到 :
(7-4)
在实际计算中,满足IMF的两个条件并不是一件容易的事,必须确定一个准则使筛选过程能够终止,Huang等提出可以利用两个连续处理结果之间的标准差SD来作为判据:
(7-5)
其中,T为原始信号的长度。决定筛选过程是否终止,SD值的选取是至关重要的。如果SD的值选的过小,会使IMF分量变成纯粹的频率调制信号,造成幅值恒定;如果选的过大,会使筛选的结果和IMF的两个条件相差太远。经验表明,SD的取值在0.2~0.3之间时为宜,既可保证IMF分量的线性稳定性,又可使IMF分量具有相应的物理意义。
当式(7-4)中的 满足SD值的要求时, 即为第一阶IMF,记为 :
(7-6)
第一阶IMF 包含着原始信号 的频率最高成份。从 中减去 得到频率较低的剩余信号,即残差 :
(7-7)
将 看作一新信号,重复上述EMD分解过程,经过多次运算可得到全部残差 :
(7-8)
当满足以下两个条件之一时,整个筛选过程即可终止。这两个条件是:(1) 或 小于预定的误差;(2) 为一单调函数,此时不可能再从中提取IMF分量。即使原始信号数据具有全局零均值,其最后的剩余分量仍可能不是零,对于有趋势的数据,其剩余分量就应该是该数据的趋势
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Author: littleprince |
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Description: 希尔伯特黄变换工具包
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Size: 22469 |
Author: difilwy |
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Description: 希尔伯特-黄变换Matlab源代码。
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Size: 48640 |
Author: students20062009 |
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Description: 代码中的plot_hht函数实现了Hilbert-Huang变换(HHT),HHT就是Hilbert-Huang Transform(希尔伯特黄变换),美国航天航空局黄鳄教授发明的,大概的过程是:先对信号进行经验模态分解(Empirical mode decomposition -EMD),得出本征模态函数(IMF intrinsic mode function),再对本征模态函数进行希尔伯特变换,从而过进一步得该信号的希尔伯特谱、时频能量谱等,以便对信号进行分析,据介绍对非线性及非平稳信号有较好的分析和处理效果。
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Size: 1019356 |
Author: lintianlinfeng |
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Description: 一部分希尔伯特-黄变换(HHT)的经验模式分解(EMD)程序,-part of Hilbert-Huang Transformation (HHT) Empirical Mode Decomposition (EMD) procedures, huh
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Size: 15360 |
Author: 王晓利 |
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Description: 还是希尔伯特--黄变换的程序,呵呵。hht emd-or Hilbert-- Huang Transform procedures, huh. Hht EMD
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Size: 3072 |
Author: 王晓利 |
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Description: 希尔伯特-黄变换的论文,研究HHT的兄弟姐妹们大家互相交流-Hilbert-Huang Transform papers, research HHT brothers and sisters they exchange!
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Size: 2028544 |
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Description: 希尔伯特-黄变换的代码,适用于分析非平稳信号-Hilbert-Huang Transform code applicable to the analysis of non-stationary signals
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Size: 22528 |
Author: 刘丽岩 |
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Description: 希尔伯特黄变换部分FFT原码,还有一部分要的话就联系我.-Hilbert Huang Transform FFT part of the original code, and in part to the on Contact.
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Size: 1024 |
Author: weixiangzhuan |
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Description: 新的信号处理方法-希尔伯特黄变换的EMD分解MATLAB程序 把程序看懂 对希尔伯特黄变换的原理就理解了-New signal processing methods- Hilbert Huang Transform EMD decomposition MATLAB program to understand the procedures of the Hilbert Huang transform understanding of the principles on
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Size: 7168 |
Author: yao |
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Description: 希尔伯特黄变换(HHT)的 完整 MATLAB程序 -Hilbert Huang Transform (HHT) of the complete MATLAB program
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Size: 22528 |
Author: joe |
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Description: 希尔伯特黄变换的程序源码,可用于各种信号分析处理-Hilbert Huang Transform source of procedures that can be used to deal with a variety of signal analysis
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Size: 105472 |
Author: 徐其惠 |
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Description: Hilbert 黄变换代码,主要实现黄变换的分解和谱分析-Hilbert Huang Transform code, the main achievement of Huang transform decomposition and spectral analysis
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Size: 182272 |
Author: 章未东 |
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Description: 几篇关于希尔伯特黄变换的论文,最近在研究这个,和大家分享-On the Hilbert Huang transform several papers, most recently looking at this, and the U.S. share
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Size: 610304 |
Author: jjt |
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Description: HHT变换的核心是EMD,在此项过程中通过EMD的编程和HHT的编程来实现了希尔伯特黄变换。可以看出处理此方法用来处理非线性信号为更好的方法。 -HHT Transform is the core of EMD, in the process of programming through EMD and HHT programming to achieve the Hilbert Huang Transform. As can be seen this method used to deal with non-linear signal processing for better alternatives.
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Size: 2048 |
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Description: 希尔伯特-黄变换的c程序,包括完整源代码-Hilbert- Huang Transform c procedures, including complete source code
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Size: 1024 |
Author: lampard |
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Description: 希尔伯特—黄变换的控制台程序,里面用到了线性插值,结果以磁盘文件形式输出-Hilbert- Huang Transform the console program, which used a linear interpolation, resulting in the form of the output to disk file
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Size: 3072 |
Author: hailun |
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Description: New Envelope Algorithm for Hilbert-Huang Transform.rar 基于希尔伯特-黄变换中的一种新包络线算法 介绍的内容比较实用-New Envelope Algorithm for Hilbert-Huang Transform.rar based on the Hilbert- Huang Transform in a new envelope algorithms are more practical introduction
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Size: 191488 |
Author: TiTi |
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Description: 希尔伯特黄变换的MATLAB算法程序,用于对信号的希尔伯特变换(Hilbert Huang transform MATLAB algorithm program for the signal Hilbert transform)
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Size: 9216 |
Author: D_L |
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Description: HHT主要内容包含两部分,第一部分为经验模态分解(Empirical Mode Decomposition,简称EMD),它是由Huang提出的;第二部分为Hilbert谱分析(Hilbert Spectrum Analysis,简称HSA)。简单说来,HHT处理非平稳信号的基本过程是:首先利用EMD方法将给定的信号分解为若干固有模态函数(以Intrinsic Mode Function或IMF表示,也称作本征模态函数),这些IMF是满足一定条件的分量;然后,对每一个IMF进行Hilbert变换,得到相应的Hilbert谱,即将每个IMF表示在联合的时频域中;最后,汇总所有IMF的Hilbert谱就会得到原始信号的Hilbert谱。(The main content of HHT includes two parts. The first part is Empirical Mode Decomposition (EMD), which is proposed by Huang. The second part is Hilbert spectrum analysis (Hilbert Spectrum Analysis, referred to as HSA). In simple terms, the basic process of HHT for the treatment of non stationary signal is: first using the EMD method to a given signal is decomposed into several intrinsic mode functions (with Intrinsic Mode Function or IMF, also called intrinsic mode function), the IMF is satisfying certain conditions component; then, Hilbert transform is performed on each one IMF, get the corresponding to each Hilbert spectrum, IMF said in a joint time-frequency domain; finally, summarize all the IMF Hilbert spectrum will get the original signal Hilbert spectrum.)
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Size: 2048 |
Author: 123456慧 |
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