PhD Course: Inverse Problems in Signal processing – New results and open challenges

Prof. Antonio Cicone

When: Every Wednesday from March 30 to May 4, extremes included, from 14:30 to 16:30. Duration: 12 hours.  

Where: In person: room A1.5 “Blocco zero”.

On-line: All classes will be streamed and recorded via Microsoft Teams. If you have a UnivAQ account, you can register to the Team Channel “Ph.D. course - Inverse Problems in Signal processing” using the code gg90c96. Otherwise, you can email the Lecturer (antonio.cicone@univaq.it) to be included in the Team.

Abstract: One classical problem in many applied fields of research, like Geophysics, Medicine, Engineering, Economy and Finance, is, given a signal, how to extract hidden information and features contained in it, like, for instance, quasiperiodicities and trends.

Standard methods like Fourier and Wavelet Transform, historically used in signal processing, proved to be limited when nonlinear and nonstationary phenomena are present. For this reason, in the last two decades several new nonlinear methods have been developed by many research groups around the world and they have been used extensively in the applications.

In this course we will review the Empirical Mode Decomposition method and derived techniques and introduce the Iterative Filtering technique and its generalizations. We will discuss their theoretical and numerical properties, show their limitations and discuss open problems.

During the course some applications will be presented as well as an introduction to the Matlab codes available online.