Strengthening Quality of Chaotic Bit Sequences
We discuss chaos and its quality as measured through the 0-1 test for chaos. When the 0-1 test indicates deteriorating quality of chaos, because of the finite precision representations of real numbers in digital implementations, then the process may eventually lead to a periodic sequence. A simple m...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-01-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/2/272 |
| _version_ | 1797494467580657664 |
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| author | Michal Melosik Wieslaw Marszalek |
| author_facet | Michal Melosik Wieslaw Marszalek |
| author_sort | Michal Melosik |
| collection | DOAJ |
| description | We discuss chaos and its quality as measured through the 0-1 test for chaos. When the 0-1 test indicates deteriorating quality of chaos, because of the finite precision representations of real numbers in digital implementations, then the process may eventually lead to a periodic sequence. A simple method for improving the quality of a chaotic signal is to mix the signal with another signal by using the XOR operation. In this paper, such mixing of weak chaotic signals is considered, yielding new signals with improved quality (with <i>K</i> values from the 0-1 test close to 1). In some sense, such a mixing of signals could be considered as a two-layer prevention strategy to maintain chaos. That fact may be important in those applications when the hardware resources are limited. The 0-1 test is used to show the improved chaotic behavior in the case when a continuous signal (for example, from the Chua, Rössler or Lorenz system) intermingles with a discrete signal (for example, from the logistic, Tinkerbell or Henon map). The analysis is presented for chaotic bit sequences. Our approach can further lead to hardware applications, and possibly, to improvements in the design of chaotic bit generators. Several illustrative examples are included. |
| first_indexed | 2024-03-10T01:34:43Z |
| format | Article |
| id | doaj.art-9c8c545ad9f14eedb39a332534833f9c |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T01:34:43Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-9c8c545ad9f14eedb39a332534833f9c2023-11-23T13:35:04ZengMDPI AGElectronics2079-92922022-01-0111227210.3390/electronics11020272Strengthening Quality of Chaotic Bit SequencesMichal Melosik0Wieslaw Marszalek1Department of Computer Science and Telecommunications, Poznan University of Technology, 60-965 Poznan, PolandDepartment of Computer Science, Opole University of Technology, 45-758 Opole, PolandWe discuss chaos and its quality as measured through the 0-1 test for chaos. When the 0-1 test indicates deteriorating quality of chaos, because of the finite precision representations of real numbers in digital implementations, then the process may eventually lead to a periodic sequence. A simple method for improving the quality of a chaotic signal is to mix the signal with another signal by using the XOR operation. In this paper, such mixing of weak chaotic signals is considered, yielding new signals with improved quality (with <i>K</i> values from the 0-1 test close to 1). In some sense, such a mixing of signals could be considered as a two-layer prevention strategy to maintain chaos. That fact may be important in those applications when the hardware resources are limited. The 0-1 test is used to show the improved chaotic behavior in the case when a continuous signal (for example, from the Chua, Rössler or Lorenz system) intermingles with a discrete signal (for example, from the logistic, Tinkerbell or Henon map). The analysis is presented for chaotic bit sequences. Our approach can further lead to hardware applications, and possibly, to improvements in the design of chaotic bit generators. Several illustrative examples are included.https://www.mdpi.com/2079-9292/11/2/272mixed-mode chaotic signalsthe 0-1 test for chaosXOR operationquality of chaotic bit sequences |
| spellingShingle | Michal Melosik Wieslaw Marszalek Strengthening Quality of Chaotic Bit Sequences Electronics mixed-mode chaotic signals the 0-1 test for chaos XOR operation quality of chaotic bit sequences |
| title | Strengthening Quality of Chaotic Bit Sequences |
| title_full | Strengthening Quality of Chaotic Bit Sequences |
| title_fullStr | Strengthening Quality of Chaotic Bit Sequences |
| title_full_unstemmed | Strengthening Quality of Chaotic Bit Sequences |
| title_short | Strengthening Quality of Chaotic Bit Sequences |
| title_sort | strengthening quality of chaotic bit sequences |
| topic | mixed-mode chaotic signals the 0-1 test for chaos XOR operation quality of chaotic bit sequences |
| url | https://www.mdpi.com/2079-9292/11/2/272 |
| work_keys_str_mv | AT michalmelosik strengtheningqualityofchaoticbitsequences AT wieslawmarszalek strengtheningqualityofchaoticbitsequences |