Convex Optimization approach to signals with fast varying instantaneous frequency

Published

Journal Article

© 2016 Elsevier Inc. Motivated by the limitation of analyzing oscillatory signals composed of multiple components with fast-varying instantaneous frequency, we approach the time-frequency analysis problem by optimization. Based on the proposed adaptive harmonic model, the time-frequency representation of a signal is obtained by directly minimizing a functional, which involves few properties an “ideal time-frequency representation” should satisfy, for example, the signal reconstruction and concentrative time-frequency representation. FISTA (Fast Iterative Shrinkage-Thresholding Algorithm) is applied to achieve an efficient numerical approximation of the functional. We coin the algorithm as Time-frequency bY COnvex OptimizatioN (Tycoon). The numerical results confirm the potential of the Tycoon algorithm.

Full Text

Duke Authors

Cited Authors

  • Kowalski, M; Meynard, A; Wu, HT

Published Date

  • January 1, 2018

Published In

Volume / Issue

  • 44 / 1

Start / End Page

  • 89 - 122

Electronic International Standard Serial Number (EISSN)

  • 1096-603X

International Standard Serial Number (ISSN)

  • 1063-5203

Digital Object Identifier (DOI)

  • 10.1016/j.acha.2016.03.008

Citation Source

  • Scopus