Frequency Tracking with Spline Based Chirp Atoms
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.
KeywordsActive Contour Model Spline Curve Dynamic Atom Alpha Oscillation Time Frequency Plane
- 5.Gabor, D.: Theory of communication. Journal of Institution of Electrical Engineers 93, 429–457 (1946)Google Scholar
- 7.Kováčová, M., Kristeková, M.: New version of matching pursuit decomposition with correct representation of linear chirps. In: Proceedings of Algoritmy, pp. 33–41 (2002)Google Scholar