| 双稳随机共振的信号恢复研究 |
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| 引用本文： | 张莹,王太勇,冷永刚,邓辉,丁千.双稳随机共振的信号恢复研究[J].力学学报,2008,40(4):528-534. |
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| 作者姓名： | 张莹 王太勇 冷永刚 邓辉 丁千 |
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| 作者单位： | 天津大学机械学院天津大学机械学院天津大学机械学院天津大学机械学院天津大学机械工程学院 |
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| 基金项目： | 国家高技术研究发展计划(863计划)，国家自然科学基金，天津市自然科学基金，教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 针对双稳随机共振输出波形失真的问题,从还原粒子运动轨迹的角度提出了波形恢复公式.通过将其应用于双稳系统对无噪阈上信号的响应输出,揭示了由粒子跃迁经过系统拐点引起的轨迹突变,及其在恢复波形的表现形式.鉴于阈下随机共振系统中噪声的随机影响,引入级联双稳系统对残余噪声进行二次调节,同时采用参数调节的恢复系统对波形进行恢复.数值仿真表明,该法直接应用于系统输出,适合处理有限长的时间数据,可以有效地估计噪声背景下微弱信号的时域波形.
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| 关 键 词： | 双稳随机共振 信号恢复 噪声 级联 参数调节 |
| 收稿时间： | 2007-09-25 |
STUDY ON SIGNAL RECOVERY IN BISTABLE STOCHASTIC RESONANCE |
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| Zhang Ying,Wang Taiyong,Leng Yonggang,Deng Hui,Ding Qian.STUDY ON SIGNAL RECOVERY IN BISTABLE STOCHASTIC RESONANCE[J].chinese journal of theoretical and applied mechanics,2008,40(4):528-534. |
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| Authors: | Zhang Ying Wang Taiyong Leng Yonggang Deng Hui Ding Qian |
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| Institution: | School of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Mechanical Engineering, Tianjin University, Tianjin 300072, China |
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| Abstract: | Aiming at the problem of the waveshape distortion in the output obtained by an SR system, this paper explains the signal recovery formula from the point of view of dynamics. Taking sinusoidal signal as the research object, the motion of the particle in the bistable system and the recovery system is investigated, and the recovery mechanism and rules with and without noise are explained. Moreover, a novel explanation about pulse distortion caused by the particle’s transition is put forward and a method to recover the output signal of subthreshold SR via cascaded-bistable system and the recovery system’s parameter choice is proposed. The numerical simulation has presented that this method, which applies to the output signal directly, can recover the waveform containing weak information submerged in noise effectively. |
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