Introduction to HHT HHT课件.ppt

An Introduction to HHT for Nonlinear and Nonstationary Time Series Analysis:A Plea for Adaptive Data AnalysisNorden E. HuangResearch Center for Adaptive Data AnalysisNational Central University Data Processing and Data Analysis Processing [proces L. Processus pp of Procedere = Proceed: pro- forward + cedere, to go] : A particular method of doing something. Data Processing Mathematically meaningful parameters Analysis [Gr. ana, up, throughout + lysis, a loosing] : A separating of any whole into its parts, especially with an examination of the parts to find out their nature, proportion, function, interrelationship etc. Data Analysis Physical understandings Data Analysis Why we do it? How did we do it? What should we do? Why? Why do we have to analyze data? Data are the only connects we have with the reality; data analysis is the only means we can find the truth and deepen our understanding of the problems. Ever since the advance of computer and sensor technology, there is an explosion of very complicate data.  The situation has changed from a thirsty for data to that of drinking from a fire hydrant. Henri Poincaré Science is built up of facts*, as a house is built of stones; but an accumulation of facts is no more a science than a heap of stones is a house.  * Here facts are indeed our data. Data and Data Analysis Data Analysis is the key step in converting the ‘facts’ into the edifice of science. It infuses meanings to the cold numbers, and lets data telling their own stories and singing their own songs. Science vs. Philosophy Data and Data Analysis are what separate science from philosophy: With data we are talking about sciences; Without data we can only discuss philosophy. Scientific Activities Collecting, analyzing, synthesizing, and theorizing are the core of scientific activities. Theory without data to prove is just hypothesis. Therefore, data analysis is a key link in this continuous loop. Data Anal