ABSTRACT:
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 and, conversely, 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 200th anniversary has just been celebrated in 2011.
ABOUT PATRICK FLANDRIN:
Patrick Flandrin is a CNRS Senior Researcher, working in the Physics Department of ENS de Lyon, France. His research interests are mostly in nonstationary signal processing (time-frequency/time-scale methods), scaling processes and complex systems. He published over 250 journal or conference papers in those areas, contributed several chapters to collective books and authored one book (Time-Frequency/Time-Scale Analysis, Academic Press, 1999). He is currently President of GRETSI, the French association for signal and image processing, and founding Director of its Summer School held in Peyresq every year since 2006. He has been awarded the Philip Morris Scientific Prize in Mathematics (1991), the SPIE Wavelet Pioneer Award (2001), the Prix Michel Monpetit from the French Academy of Sciences (2001) and the Silver Medal from CNRS (2010). Fellow of IEEE (2002) and EURASIP (2009), he has been elected Member of the French Academy of Sciences in 2010.
VIDEO ARCHIVE - PATRICK FLANDRIN
APA video citation:
Flandrin, P. (2012, October 22). Drawing sounds, listening to images: The art of time-frequency analysis -
CIRMMT Distinguished Lectures in the Science and Technology of Music. [Video file].
Retrieved from https://www.youtube.com/watch?v=06TErgm_iZg