Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System
The analytically solvable chaotic system (ASCS) is a promising chaotic system in chaos communication and radar fields. In this paper, we propose a maximum likelihood estimator (MLE) to estimate the frequency of ASCS, then a difference-integral (DI) detector is designed with the estimated frequency,...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/8/791 |
| _version_ | 1798002857249603584 |
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| author | Ang Zhou Shilian Wang Junshan Luo |
| author_facet | Ang Zhou Shilian Wang Junshan Luo |
| author_sort | Ang Zhou |
| collection | DOAJ |
| description | The analytically solvable chaotic system (ASCS) is a promising chaotic system in chaos communication and radar fields. In this paper, we propose a maximum likelihood estimator (MLE) to estimate the frequency of ASCS, then a difference-integral (DI) detector is designed with the estimated frequency, and the symbols encoded in the signal are recovered. In the proposed method, the frequency parameter is estimated by an MLE based on the square power of the received signal. The Cramer-Rao lower bound in blind frequency estimation and the bit error performance in symbol detection are analyzed to assess the performance of the proposed method. Numerical results validate the analysis and demonstrate that the proposed symbol detector achieves the error performance with a little cost of 1 dB compared to the coherent detector. The robustness of the proposed method towards parameters is also verified through simulations. |
| first_indexed | 2024-04-11T11:58:51Z |
| format | Article |
| id | doaj.art-bb3ed0786f0246cd989527221dca9b51 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T11:58:51Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bb3ed0786f0246cd989527221dca9b512022-12-22T04:24:57ZengMDPI AGEntropy1099-43002019-08-0121879110.3390/e21080791e21080791Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic SystemAng Zhou0Shilian Wang1Junshan Luo2College of Electronic Science, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science, National University of Defense Technology, Changsha 410073, ChinaCollege of Electronic Science, National University of Defense Technology, Changsha 410073, ChinaThe analytically solvable chaotic system (ASCS) is a promising chaotic system in chaos communication and radar fields. In this paper, we propose a maximum likelihood estimator (MLE) to estimate the frequency of ASCS, then a difference-integral (DI) detector is designed with the estimated frequency, and the symbols encoded in the signal are recovered. In the proposed method, the frequency parameter is estimated by an MLE based on the square power of the received signal. The Cramer-Rao lower bound in blind frequency estimation and the bit error performance in symbol detection are analyzed to assess the performance of the proposed method. Numerical results validate the analysis and demonstrate that the proposed symbol detector achieves the error performance with a little cost of 1 dB compared to the coherent detector. The robustness of the proposed method towards parameters is also verified through simulations.https://www.mdpi.com/1099-4300/21/8/791analytically solvable chaotic systemfrequency estimationperformance evaluation |
| spellingShingle | Ang Zhou Shilian Wang Junshan Luo Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System Entropy analytically solvable chaotic system frequency estimation performance evaluation |
| title | Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System |
| title_full | Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System |
| title_fullStr | Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System |
| title_full_unstemmed | Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System |
| title_short | Blind Frequency Estimation and Symbol Recovery for the Analytically Solvable Chaotic System |
| title_sort | blind frequency estimation and symbol recovery for the analytically solvable chaotic system |
| topic | analytically solvable chaotic system frequency estimation performance evaluation |
| url | https://www.mdpi.com/1099-4300/21/8/791 |
| work_keys_str_mv | AT angzhou blindfrequencyestimationandsymbolrecoveryfortheanalyticallysolvablechaoticsystem AT shilianwang blindfrequencyestimationandsymbolrecoveryfortheanalyticallysolvablechaoticsystem AT junshanluo blindfrequencyestimationandsymbolrecoveryfortheanalyticallysolvablechaoticsystem |