低信噪比下激波信号奇点检测方法

针对低信噪比下的激波信号检测问题,利用激波信号奇点在小波变换中的路径传递特征及信号奇点小波系数与噪声小波系数明显幅度差异,提出了一种基于信号奇点的连续小波变换检测算法。仿真实验结果表明,在恒定虚警概率下,该方法检测性能相较于能量检测器能提升约3 dB;实际数据实验结果说明,该方法在-3 dB信噪比下检测性能明显优于能量检测器和传统小波多尺度积检测器。     

Toward the detection of gravitational waves under non-Gaussian noises I. Locally optimal statistic

After reviewing the standard hypothesis test and the matched filter technique to identify gravitational waves under Gaussian noises, we introduce two methods to deal with non-Gaussian stationary noises. We formulate the likelihood ratio function under weakly non-Gaussian noises through the Edgeworth expansion and strongly non-Gaussian noises in terms of a new method we call Gaussian mapping where the observed marginal distribution and the two-body correlation function are fully taken into account. We then apply these two approaches to Student’s t-distribution which has a larger tails than Gaussian. It is shown that while both methods work well in the case the non-Gaussianity is small, only the latter method works well for highly non-Gaussian case.