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自适应随机共振系统最佳参数设计

Optimal Parameter Design of Adaptive Stochastic Resonance

中文摘要英文摘要

针对现有随机共振系统最佳匹配参数设计方法复杂且无法保证最优的问题,本文提出了最佳参数设计方法。首先利用低频参考周期信号频率匹配Kramers跃迁率和最大化输出信噪比的关系,推导出参考信号对应的随机共振系统最优参数;然后根据任意频率的尺度变换关系式,推导出任意频率信号的随机共振系统最优参数;最后提出了简单易行的随机共振算法设计。仿真表明:本文所提方法无需任何迭代,能够自适应地匹配信号和噪声的特征,具有很好的稳健性。

In order to reduce the complexity ofoptimal matching parameter design of stochastic resonance system and guarantee the optimality, we propose an optimal parameter design method. Byexploiting the matching between the low frequency referenceperiodic signal and Kramers rate and aiming at maximizing signal-to-noise ratio(SNR), we first obtain the optimal parameter of stochastic resonance systemwith respect to thereference periodic signal. Next, the optimal parameter of stochasticresonance systemwith respect to arbitrary periodic signalisderived based on scale transformation. The optimal parameter can be easily obtainedin our proposed stochastic resonance algorithm design. Thesimulation results show that the proposed method does not need any iterationprocess and is robust to the changes of signal and noise.

张国勇、王军、李少谦

物理学

自适应随机共振双稳态系统信号检测

daptive stochastic resonancebistable systemssignal detection

张国勇,王军,李少谦.自适应随机共振系统最佳参数设计[EB/OL].(2017-04-24)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/201704-329.点此复制

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