Bayesian approach to best basis selection

  • Authors:
  • J.-C. Pesquet;H. Krim;D. Leporini;E. Hamman

  • Affiliations:
  • Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France;-;-;-

  • Venue:
  • ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 05
  • Year:
  • 1996

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Abstract

Wavelet packets and local trigonometric bases provide an efficient framework and fast algorithms to obtain a "best basis" or "best representation" of deterministic signals. Applying these deterministic techniques to stochastic processes may, however, lead to variable results. We revisit this problem and introduce a prior model on the underlying signal in noise and account for the contaminating noise model as well. We thus develop a Bayesian-based approach to the best basis problem, while preserving the classical tree search efficiency.