Speaker: Xian jun （Professor, SUN YAT-SEN UNIVERSITY）

Title:  Random Convolution Sampling on Non-harmonic Trigonometric Polynomial Signal Spaces

Abstract: The random convolution sampling problem on non-harmonic trigonometric spaces is presented in this talk. Main results include that the sampling inequality holds with high probability under natural assumptions. It is also shown that the bound of the sampling inequality can be arbitrarily tight as long as sampling number is sufficiently large and the convolution kernel is reasonably slim. The required sampling number is derived, and is seen to consist of two terms. The first has an order of $O(n \log n)$ where $n$ is the dimension of the ambient space, and the second depends on the largest frequency of the trigonometric polynomials, as well as the narrowness of the convolution kernel. Numerical simulations are carried out to verify the observations and conclusions.

Time: 10:00Am, 3/11/2020

Location: Tencent meetingID：589 835 182