法國國家科學院院長 Patrick Flandrin 院士給bet356手机版唯一官网師生做學術報告

摘要：Dealing with data in a well-adapted representation space is a key for understanding, modifying or compressing observed signals. In nonstationary situations where spectral features are considered as varying over time, combining the—usual but mutually exclusive—time and frequency variables offers such a natural framework which formalizes the intuitive idea of a musical score. Sounds are transformed this way as readable images in a joint time-frequency plane and, conversely, time-frequency patterns can be turned into audible waveforms. As it is the rule in signal processing, with the Fourier analysis as the most prominent example in a stationary setting, the ‘art of time-frequency analysis’ is to design and use meaningful, well-defined and efficient tools which lie at the intersection of physics, applied mathematics and computer science, even when stationarity does not hold anymore. In this lecture, basics of classical time-frequency analyses will be briefly recalled, and recent advances related respectively to varying frequencies, localized oscillations and possibly non-harmonic modes will be discussed more specifically, as three ways of going beyond the classical Fourier analysis whose publication is just celebrating this year its 200th anniversary. 

報告人簡曆：Patrick Flandrin教授，法蘭西科學院院士、法國裡昂高等師範學院教授、法國科學研究中心主任研究員。現任法蘭西科學院院長、IEEE 會士、歐洲信号處理學會會士。2009至2019年，擔任法國信号和圖像處理協會主席。長期緻力于信息與信号處理方面研究工作，在非平穩信号時頻分析、多分辨率小波分析等領域取得了卓越成就和重要貢獻。曾獲國際光學工程學會“小波先驅獎”、IEEE信号處理學會“技術成就獎”、 法國國家科學研究中心銀獎、法國榮譽軍團騎士勳章等重要獎項。發表相關學術論文300餘篇，并撰寫了多本專著，如《時頻分析探索》(劍橋大學出版社，2018年)。