对称Alpha稳定分布噪声下的Duffing振子检测方法

发布时间：2018-06-16 22:41

本文选题：Duffing振子 + 对称Alpha稳定分布　；参考：《船舶力学》2017年01期

【摘要】：Duffing振子是利用系统对与策动力同频的小信号敏感而对噪声免疫实现微弱信号检测,特定分布下的噪声激励Duffing振子系统不会发生相变是应用该方法的前提条件。文中主要研究了服从Alpha稳定分布的噪声激励Duffing振子产生相变的鲁棒性问题,研究结果表明Duffing振子相变在Alpha稳定分布源的激励下为小概率事件。为消除小概率相变的影响,利用多支路并行检测及多数判决准则对常规的Duffing振子检测方法进行改进,即将待测信号分段截短周期延拓后送入多个并行Duffing振子检测单元,若检测单元多数发生相变,必然是由于弱目标信号而非噪声激励所致,即可判定检测信号中包含目标小信号。将该方法应用于水下目标回波信号的检测中,实测数据处理结果验证了该方法是有效的。
[Abstract]:Duffing oscillator detects weak signals by using the system which is sensitive to small signals with the same frequency of driving force and realizes weak signal detection. The condition of this method is that the duffing vibration subsystem excited by noise does not produce phase transition under certain distribution. In this paper, the robustness of the phase transition generated by noise excited duffing oscillator from Alpha stable distribution is studied. The results show that the duffing oscillator phase transition is a small probability event under the excitation of Alpha stable distribution source. In order to eliminate the influence of small probability phase transition, the conventional duffing oscillator detection method is improved by using multi-branch parallel detection and majority decision criterion. If phase transition occurs in most detection units, it must be caused by weak target signal rather than noise excitation, and it can be determined that small target signal is included in the detection signal. The method is applied to the detection of underwater target echo signal. The experimental data processing results show that the method is effective.
【作者单位】：哈尔滨工程大学水声技术重点实验室;哈尔滨工程大学水声工程学院;东北电力大学信息工程学院;
【基金】：国家自然科学基金资助项目(51279033) 黑龙江省自然科学基金资助项目(F201346)
【分类号】：TN911.23

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