Mathematical Frameworks for Signal and Image Analysis - Adaptive Time-Frequency Methods

Explore adaptive time-frequency methods in signal and image analysis through this third lecture in a series by Ingrid Daubechies at the Joint Mathematics Meetings 2020. Delve into topics such as Fourier decomposition, electrocardiogram analysis, birdsong decomposition, wavelet transforms, and multi-taper analysis. Learn about the foundations of adaptive time-frequency decomposition and its applications in various fields. Discover how mathematical frameworks can be used to analyze complex signals and images, with a focus on user-defined functions and practical solutions. Gain insights into the Ainu Commission of Developing Countries and the importance of building cohorts and fellowships in mathematical research.

Introduction
Welcome
Ainu Commission of Developing Countries
Building Cohorts
Foundations
Fellowships
Adaptive TimeFrequency Decomposition
Fourier Decomposition
Electrocardiogram
Birdsong
Decomposition
Fourier Transform
Linear Transform
Wavelet Transform
Parabola
Remapping
Noise
Signal
Time and Frequency
Multi Taper Analysis
UserMe Functions
Solution