水声瞬态信号检测方法的性能分析模型研究

An analytical performance model of the underwater transient signal detection method

累积和检验方法根据瞬态信号出现与消失时概率密度分布(PDF)的变化进行有效检测。在纽曼皮尔逊准则下,检测性能分析方法是实现检测的关键。基于马尔可夫状态转移思想,完善了快速傅里叶变换性能分析方法。在高斯分布方差变化假设下,推导了被检测序列量化值域确定方法、更新量概率分布律的计算方法和检测概率的递归计算方法。研究表明,基于上述方法的检测概率理论计算结果和蒙特卡洛仿真实验结果吻合度好,水池和海试数据的分析结果也表明利用该检测性能分析模型计算所得参数,累积和检验方法能有效检测低信噪比的水声瞬态信号。

The page test can detect signals effectively according to the change of the probability distribution function（ PDF） of the detected sequences when the sonar target signal emerges or disappears. Using the Newman-Pearson criterion,the method of detection performance analysis is critical for the Page Test. Based on the Markov state transfer idea,the fast Fourier transform（ FFT） performance analysis method is improved. The quantization range of the tested series,the calculation method for probability distribution law of the nonlinearity and the recursive algorithm for the detection probability are deduced under the assumption of Gauss distribution with the change of variance. The research shows that the theoretical calculation result of the probability detected by the above-mentioned method agrees well with the Monte Carlo simulation. The results of experiments both in the anechoic tank and in the sea show that the Page Test,with the parameters calculated by the FFT method,can effectively detect underwater transient signals with low SNR.