报告时间：2020年12 月11日上午11：00

报告地点：腾讯会议（会议 ID：126 395 097）

线下地点：工西416

报告摘要: We found that the phaseless sampling in the complex-generated SISs is essentially different from that in the real-generated ones. Motivated by this, we first establish the condition on the complex-valued generator \phi such that the PLS of nonseparable causal (NC) signals in V(\phi) can be achieved by random sampling. The condition is established from the generalized Haar condition (GHC) perspective. Based on the proposed reconstruction approach, it is proved that if the GHC holds then with probability 1, the random sampling density (SD) =3 is sufficient for the PLS of NC signals in the complex-generated SISs. For the real-valued case we also prove that, if the GHC holds then with probability 1, the random SD =2 is sufficient for the PLS of real-valued NC signals   in the real-generated SISs. For the local reconstruction of highly oscillatory signals such as chirps, a great number of deterministic samples are required. Compared with deterministic sampling, the proposed random approach enjoys not only the greater sampling flexibility but the much smaller number of samples. 

报告人简介：李尤发，博士，广西大学数学与信息科学学院，主持国家自然科学基金4项、广西自然科学基金3项。 在《IEEE Transactions on Signal Processing》、《Journal Fourier Analysis and Application》、 《Journal of Approximation Theory》、《Advances in Computational Mathematics》、《Science China Mathematics》等杂志上发表多篇学术论文。