
报告人:钱涛(澳门大学数学系教授,博士生导师,数学系主任)
报告题目:Adaptive Decomposition of Signals (信号的自适应分解)
时间:12月28日下午4:00-5:00
地点:数学系会议室
适合听众: 数学系老师和研究生
Abstract:
A signal is a function in a certain function space. The talk will concern adaptive decomposition of signals into fundamental units called mono-components that are boundary values of functions in the Hardy Hp spaces with a certain orientation on the boundary. This is a generalization of Fourier analysis and is called by some mathematicians “a new type of wavelets”. The theory will be based on harmonic analysis and complex analysis of one complex variable. The key words include Hilbert transform, Hardy spaces, inner and outer functions, Nevanlinna class, instantaneous frequency, EMD and IFM.