Frequency tracking with spline based chirp atoms

  • Authors:
  • Matthias Wacker;Miroslav Galicki;Herbert Witte

  • Affiliations:
  • Institute for Medical Statistics, Computer Sciences and Documentation, Friedrich-Schiller-University Jena;Institute for Medical Statistics, Computer Sciences and Documentation, Friedrich-Schiller-University Jena;Institute for Medical Statistics, Computer Sciences and Documentation, Friedrich-Schiller-University Jena

  • Venue:
  • ICISP'10 Proceedings of the 4th international conference on Image and signal processing
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

The tracking of prominent oscillations with time-varying frequencies is a common task in many signal processing applications. Therefore, efficient methods are needed to meet precision and run-time requirements. We propose two methods that extract the energy of the time frequency plane along a cubic spline trajectory. To raise efficiency, a sparse sampling method with dynamically shaped atoms is developed for the one method in contrast to standard Gabor atoms for the other. Numerical experiments using both synthetic and real-life data are carried out to show that dynamic atoms can significantly outperform classical Gabor formulations for this task.