Effect of Time Delay on Binary Signal Detection via a Bistable System
The effect of time delay on binary signal detection via a bistable system in the presence of white or colored Gaussian noise is investigated. By defining the bit error rate based on the solution of the approximated Fokker- Planck equation, the detector performance is investigated theoretically and i...
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| Published in | Chinese physics letters Vol. 31; no. 2; pp. 9 - 12 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.02.2014
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0256-307X 1741-3540 |
| DOI | 10.1088/0256-307X/31/2/020501 |
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| Abstract | The effect of time delay on binary signal detection via a bistable system in the presence of white or colored Gaussian noise is investigated. By defining the bit error rate based on the solution of the approximated Fokker- Planck equation, the detector performance is investigated theoretically and is verified by Monte Carlo simulation. It is shown that, when the system parameter or noise intensity is optimally chosen, the increasing time delay generally improves the system performance. It is also shown that it is more difficult to accurately predict the system performance with a larger time delay and correlation time. This may inspire more thorough investigations in cooperative effects of a nonlinear system and time delay on signal processing. |
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| AbstractList | The effect of time delay on binary signal detection via a bistable system in the presence of white or colored Ga ussian noise is investigated. By dehning the bit error rate based on the solution of the approxima ted Fokker-Planck equation, the detector performance is investigated theoretically and is verified by Monte Carlo simulation. It is shown that, when the system parameter or noise intensity is optimally chosen, the increasing time delay generally improves the system performance. It is also shown that it is more difficult to accurately predict the system performance with a larger time delay and correlation time. This may inspire more thorough investigations in cooperative effects of a nonlinear system and time delay on signal processing. The effect of time delay on binary signal detection via a bistable system in the presence of white or colored Gaussian noise is investigated. By defining the bit error rate based on the solution of the approximated Fokker- Planck equation, the detector performance is investigated theoretically and is verified by Monte Carlo simulation. It is shown that, when the system parameter or noise intensity is optimally chosen, the increasing time delay generally improves the system performance. It is also shown that it is more difficult to accurately predict the system performance with a larger time delay and correlation time. This may inspire more thorough investigations in cooperative effects of a nonlinear system and time delay on signal processing. |
| Author | 曾令藻 刘炳阳 徐亦达 李建龙 |
| AuthorAffiliation | College of Environmental and Resource Sciences, Zhejiang University, Hangzhou 310029 Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027 |
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| Cites_doi | 10.1016/j.physleta.2006.11.006 10.1007/978-3-642-61544-3 10.1088/1674-1056/21/12/120502 10.1088/0256-307X/24/11/016 10.1016/j.physa.2004.06.149 10.1103/PhysRevLett.87.250602 10.1103/PhysRevE.72.021902 10.1007/s10955-009-9864-4 10.1016/S0960-0779(00)00266-6 10.1103/RevModPhys.70.223 10.1016/j.ymssp.2006.03.012 10.1088/0305-4470/14/11/006 10.1088/0256-307X/27/8/080502 10.1109/TSP.2008.928509 10.1016/0375-9601(83)90086-5 10.1103/PhysRevE.61.4906 10.1109/TSP.2007.893757 10.1016/j.ymssp.2006.10.003 10.1142/S0218127403006601 |
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| Notes | The effect of time delay on binary signal detection via a bistable system in the presence of white or colored Gaussian noise is investigated. By defining the bit error rate based on the solution of the approximated Fokker- Planck equation, the detector performance is investigated theoretically and is verified by Monte Carlo simulation. It is shown that, when the system parameter or noise intensity is optimally chosen, the increasing time delay generally improves the system performance. It is also shown that it is more difficult to accurately predict the system performance with a larger time delay and correlation time. This may inspire more thorough investigations in cooperative effects of a nonlinear system and time delay on signal processing. 11-1959/O4 ZENG Ling-Zao, LIU Bing-Yang, XU Yi-Da, LI Jian-Long（ 1 College of Environmental and Resource Sciences, Zhejiang University, Hangzhou 310029 2Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027） ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| References | 11 12 Guo Y F (15) 2010; 48 13 Nie L R (18) 2007; 24 16 19 Benzi R (1) 1981; 14 Zhang L Y (7) 2012; 21 2 3 Zhou Y R (14) 2010; 27 4 5 Proakis J G (10) 2001 Li J L (17) 2010; 43 6 8 9 Risken H (22) 1996 20 21 |
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| SubjectTerms | Binary systems (materials) Computer simulation Correlation Dynamical systems Fokker-Planck方程 Monte Carlo methods Optimization Signal detection Time delay 二元 仿真验证 信号检测 双稳系统 时间延迟 非线性系统 高斯噪声 |
| Title | Effect of Time Delay on Binary Signal Detection via a Bistable System |
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