Imaging and Computing Seminar
Julius Kusuma, Schlumberger-Doll Research
Title:
A parametric approach to acquisition of signals with a finite rate of innovation: results and challenges
Abstract:
The science and engineering of sparse signal acquisition have gathered significant interest in recent years. Both
non-parametric and parametric approaches have been studied, promising novel ways to sample certain signals at rates well
below the Nyquist rate. In this talk we focus on the work of Vetterli et al. that showed it is possible to reconstruct
parametrically described signals from samples taken at or near their innovation rate. A majority of these approaches
rely on the solution to a form of exponential fitting, for both real-valued and complex-valued cases. Therefore,
analysis and understanding of how algorithms for solving exponential fitting behave in the presence of noise is very
important.
In this talk we will review some basic results, discuss the prospects in various application areas including novel signal
acquisition technologies, and highlight what insights and features might be desirable to bring this theoretical idea to
further practice. Questions such as how to analyze and deal with undersampling/aliasing and how to build efficient
devices are explored.