Novel adaptive generalized principal component analysis algorithm based on Hebbian rule
In order to adaptively estimate the generalized principal component from input signals,a novel generalized principal component analysis algorithm was proposed based on the Hebbian linear neuron model.Since the autocorrelation matrices of the signals were estimated directly from the sampled data at t...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2020-07-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020134/ |
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| _version_ | 1841539284325105664 |
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| author | Yingbin GAO Xiangyu KONG Qiaohua CUI Haidi DONG |
| author_facet | Yingbin GAO Xiangyu KONG Qiaohua CUI Haidi DONG |
| author_sort | Yingbin GAO |
| collection | DOAJ |
| description | In order to adaptively estimate the generalized principal component from input signals,a novel generalized principal component analysis algorithm was proposed based on the Hebbian linear neuron model.Since the autocorrelation matrices of the signals were estimated directly from the sampled data at the current time,the proposed algorithm had low computation complexity.Trough analyzing all of the equilibrium points by Lyapunov method,it is proven that if and only if the weight vector in the neuron had the same direction with the generalized principal component,the proposed algorithm attains the convergence status.Simulation results shows that compared with some same type algorithms,the proposed algorithm has faster convergence speed. |
| format | Article |
| id | doaj-art-7d52b4cbb11c4e1babd015c9b092abff |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2020-07-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-7d52b4cbb11c4e1babd015c9b092abff2025-01-14T07:19:40ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2020-07-014110310959736577Novel adaptive generalized principal component analysis algorithm based on Hebbian ruleYingbin GAOXiangyu KONGQiaohua CUIHaidi DONGIn order to adaptively estimate the generalized principal component from input signals,a novel generalized principal component analysis algorithm was proposed based on the Hebbian linear neuron model.Since the autocorrelation matrices of the signals were estimated directly from the sampled data at the current time,the proposed algorithm had low computation complexity.Trough analyzing all of the equilibrium points by Lyapunov method,it is proven that if and only if the weight vector in the neuron had the same direction with the generalized principal component,the proposed algorithm attains the convergence status.Simulation results shows that compared with some same type algorithms,the proposed algorithm has faster convergence speed.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020134/Hebbian rulegeneralized principal componentequilibrium pointadaptive estimation |
| spellingShingle | Yingbin GAO Xiangyu KONG Qiaohua CUI Haidi DONG Novel adaptive generalized principal component analysis algorithm based on Hebbian rule Tongxin xuebao Hebbian rule generalized principal component equilibrium point adaptive estimation |
| title | Novel adaptive generalized principal component analysis algorithm based on Hebbian rule |
| title_full | Novel adaptive generalized principal component analysis algorithm based on Hebbian rule |
| title_fullStr | Novel adaptive generalized principal component analysis algorithm based on Hebbian rule |
| title_full_unstemmed | Novel adaptive generalized principal component analysis algorithm based on Hebbian rule |
| title_short | Novel adaptive generalized principal component analysis algorithm based on Hebbian rule |
| title_sort | novel adaptive generalized principal component analysis algorithm based on hebbian rule |
| topic | Hebbian rule generalized principal component equilibrium point adaptive estimation |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2020134/ |
| work_keys_str_mv | AT yingbingao noveladaptivegeneralizedprincipalcomponentanalysisalgorithmbasedonhebbianrule AT xiangyukong noveladaptivegeneralizedprincipalcomponentanalysisalgorithmbasedonhebbianrule AT qiaohuacui noveladaptivegeneralizedprincipalcomponentanalysisalgorithmbasedonhebbianrule AT haididong noveladaptivegeneralizedprincipalcomponentanalysisalgorithmbasedonhebbianrule |