Topological Matched Filtering Algorithm for Chaotic Echo of Active Sonar
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摘要: 针对混沌回波难以采用传统频率滤波降噪的问题,将拓扑匹配滤波方法用于混沌回波处理。该方法利用了重构相平面轨迹与原始时间序列拓扑等价的原理,依靠回波信号相平面轨道已知这一先验知识,在相平面上进行匹配滤波,使受噪声污染的回波信号相平面轨迹与原始轨道趋于一致,从而将混沌信号提取出来,并采用栅格搜索对具体算法进行了优化。仿真结果表明,该方法在信噪比下降到0 dB仍有较好的滤波效果,针对随机噪声、混沌噪声和实际海洋环境噪声3种情况下的降噪处理都是适用的。这种方法可以实现2种宽带信号的分离,能有效地对混沌回波信号进行降噪。Abstract: We present a topological matched filtering algorithm to reduce noise of chaotic echo, which applies embedding theory that reconstruction trace of embedded phase is in topological equivalence with original time series.According to the predefined phase trace of clean chaotic data,we correct the observed noisy chaotic signal in an incremental mode to match this filter as close as possible to the original phase trace.So chaotic signal can be extracted from noisy signal by using the topological matched filter.We optimize the search algorithm with grid search to find nearest neighbors. Simulation results show that this algorithm has a good signal filtering effect even when the signal to noise ratio decreases to 0 dB, and is suitable for white noise, Lorenz chaotic signal and ocean ambient noise. With this algorithm two types of broadband signals can be separated to effectively, recover the original clean chaotic echo.
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Key words:
- active sonar /
- chaos /
- noise reduction /
- topological matched filter
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