| Presentation | 2012-01-27 Fractal Information Structure in Discrete Signal and Applications : A Method for Signal Processing Using Local Fractal Dimension Norihisa MATSUMOTO, Kenichi KAMIJO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The orbit of a discrete dynamical system in 3-dimensional space can be considered to be a kind of discrete signal. In this paper, we define the local fractal dimension (LFD) by using the "processing window" on the orbit. In order to evaluate the fractal information structure in the orbit, we propose a method with a moving LFD for signal processing by sliding the "processing window" along the line on the orbit. We selected the logistic mapping in each coordinate as an example and, on the basis of a computer simulation; we show that the probability distribution of the moving LFD becomes almost a normal distribution on the restricted range of the control parameter, which corresponds to the so-called chaotic areas, in the logistic mapping. Also, the relationships between the control parameter and the mean or standard deviation of the moving LFD or SN ratio are investigated. The proposed method can be used in the statistical quality control or general random processes with the same procedure. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | discrete dynamical system / random process / logistic time development / local fractal dimension / statistical quality control |
| Paper # | SIP2011-112,RCS2011-301 |
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| Conference Information | |
| Committee | RCS |
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| Conference Date | 2012/1/19(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Radio Communication Systems (RCS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Fractal Information Structure in Discrete Signal and Applications : A Method for Signal Processing Using Local Fractal Dimension |
| Sub Title (in English) | |
| Keyword(1) | discrete dynamical system |
| Keyword(2) | random process |
| Keyword(3) | logistic time development |
| Keyword(4) | local fractal dimension |
| Keyword(5) | statistical quality control |
| 1st Author's Name | Norihisa MATSUMOTO |
| 1st Author's Affiliation | Graduate School of Life Sciences, Toyo University() |
| 2nd Author's Name | Kenichi KAMIJO |
| 2nd Author's Affiliation | Graduate School of Life Sciences, Toyo University |
| Date | 2012-01-27 |
| Paper # | SIP2011-112,RCS2011-301 |
| Volume (vol) | vol.111 |
| Number (no) | 404 |
| Page | pp.pp.- |
| #Pages | 6 |
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