Tutorial Lecture on Time-Frequency Analysis: Theory and Applications

A tutorial presentation on “Time-Frequency Analysis: Theory and Applications” will be given by Professor Leon Cohen of the City University of New York and Professor Patrick Loughlin of the University of Pittsburgh on Monday, 2 December, at 7:00 p.m.


Time-varying spectra are one of the most primitive sensations we experience, since we are surrounded by light of changing color, by sounds of varying pitch, and by many other phenomena whose periodicities change. The development of the physical and mathematical ideas needed to explain and understand time-varying spectra has evolved into the field now called "time-frequency analysis." Among the many signals whose frequency content has been shown to vary in time are speech and other animal sounds, biomedical signals (e.g., heart sounds, heart rate, the electroencephalogram (EEG), the electromyogram (EMG) and others), music, radar and sonar signals, and machine vibrations, among others. In this tutorial, we give an overview of time-frequency analysis, with a focus on its applications. We describe how these methods impinge on and clarify issues in biomedical and biological signal analysis, wave propagation, random systems, non-linear systems, and other areas. Of particular interest is the application of time-frequency analysis to pulse propagation in dispersive media. We show that time-frequency considerations lead to new approximation methods for dynamic systems and wave propagation. We describe how to transform wave equations into phase-space, where the resulting equation is often more revealing than the original wave equation. We also discuss the applications to random systems and in particular to the propagation of noise fields.


Lecture notes will be available at the meeting in limited supply. Those who register by 31 October are guaranteed receipt of a set of notes.


To partially defray the cost of the lecture, a registration fee is charged. The fee is $15 for registration received by 31 October and $25 thereafter including on-site registration at the meeting. The fee for students with current ID cards is $7 for registration received by 31 October and $12 thereafter, including on-site registration at the meeting. Use the downloadable registration form or register online.