Extracting hidden weak sinusoidal signal with short duration from noisy data: Analytical theory and computational realization

Zhang Ying¹, Zhang Zhaoyang^{1, 2}, Qian Hong³, Hu Gang^{1, †}

(color online) (a)–(d) The same as Figs. 6(a)–6(d), respectively, by numerically computing Eq. (10) for . Parameters of the resonant filter are: , , and . In each case the detections with here have more numbers of correct conclusions than those with I(t) in Fig. 6.