A Modified Algorithm for the Logistic Sequence Based on PCA
In order to deal with the dynamical degradation of logistic chaotic sequence caused by the structures and finite precision computing, we propose a modified algorithm based on phase space reconstruction and PCA. In the process of phase space reconstruction, it uses Cao theory after determining the de...
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9025005/ |
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doaj-bcf9a919e8f146c68af064003feb94432021-03-30T03:09:43ZengIEEEIEEE Access2169-35362020-01-018452544526210.1109/ACCESS.2020.29785039025005A Modified Algorithm for the Logistic Sequence Based on PCAChunyuan Liu0https://orcid.org/0000-0002-8965-5470Qun Ding1Electronic Engineering College, Heilongjiang University, Harbin, ChinaElectronic Engineering College, Heilongjiang University, Harbin, ChinaIn order to deal with the dynamical degradation of logistic chaotic sequence caused by the structures and finite precision computing, we propose a modified algorithm based on phase space reconstruction and PCA. In the process of phase space reconstruction, it uses Cao theory after determining the delay time by the mutual information function and takes the first principal component as the result. Results of experiments demonstrate that: the algorithm erases the relevance among data points and enhances the randomness and complexity of the sequence.https://ieeexplore.ieee.org/document/9025005/Cao theorymutual information functionphase space reconstructionprincipal component analysislogistic map |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chunyuan Liu Qun Ding |
| spellingShingle |
Chunyuan Liu Qun Ding A Modified Algorithm for the Logistic Sequence Based on PCA IEEE Access Cao theory mutual information function phase space reconstruction principal component analysis logistic map |
| author_facet |
Chunyuan Liu Qun Ding |
| author_sort |
Chunyuan Liu |
| title |
A Modified Algorithm for the Logistic Sequence Based on PCA |
| title_short |
A Modified Algorithm for the Logistic Sequence Based on PCA |
| title_full |
A Modified Algorithm for the Logistic Sequence Based on PCA |
| title_fullStr |
A Modified Algorithm for the Logistic Sequence Based on PCA |
| title_full_unstemmed |
A Modified Algorithm for the Logistic Sequence Based on PCA |
| title_sort |
modified algorithm for the logistic sequence based on pca |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2020-01-01 |
| description |
In order to deal with the dynamical degradation of logistic chaotic sequence caused by the structures and finite precision computing, we propose a modified algorithm based on phase space reconstruction and PCA. In the process of phase space reconstruction, it uses Cao theory after determining the delay time by the mutual information function and takes the first principal component as the result. Results of experiments demonstrate that: the algorithm erases the relevance among data points and enhances the randomness and complexity of the sequence. |
| topic |
Cao theory mutual information function phase space reconstruction principal component analysis logistic map |
| url |
https://ieeexplore.ieee.org/document/9025005/ |
| work_keys_str_mv |
AT chunyuanliu amodifiedalgorithmforthelogisticsequencebasedonpca AT qunding amodifiedalgorithmforthelogisticsequencebasedonpca AT chunyuanliu modifiedalgorithmforthelogisticsequencebasedonpca AT qunding modifiedalgorithmforthelogisticsequencebasedonpca |
| _version_ |
1724184018498355200 |