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논문검색

Frequency Tracking with Spline Based Chirp Atoms

초록

영어

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.

목차

Abstract
 1. Introduction
 2. Method
  2.1 Problem formulation
  2.2 Derivation of the objective function
  2.3 Optimization
 3. Results
 4. Conclusion
 References

저자정보

  • Matthias Wacker Institute of Medical Statistics, Computer Sciences and Documentation, Jena University Hospital, Friedrich-Schiller-University Jena
  • Miroslav Galicki Institute of Medical Statistics, Computer Sciences and Documentation, Jena University Hospital, Friedrich-Schiller-University Jena
  • Herbert Witte Institute of Medical Statistics, Computer Sciences and Documentation, Jena University Hospital, Friedrich-Schiller-University Jena

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