On Optimal Wavelet Bases for the Realization of Microcanonical Cascade Processes

@article{Pont2011OnOW,
  title={On Optimal Wavelet Bases for the Realization of Microcanonical Cascade Processes},
  author={Oriol Pont and Antonio Turiel and Conrado J. P{\'e}rez Vicente},
  journal={IJWMIP},
  year={2011},
  volume={9},
  pages={35-61}
}
Multiplicative cascades are often used to represent the structure of multiscaling variables in many physical systems, specially turbulent flows. In processes of this kind, these variables can be understood as the result of a successive tranfer in cascade from large to small scales. For a given signal, only its optimal wavelet basis can represent it in such a way that the cascade relation between scales becomes explicit, i.e., it is geometrically achieved at each point of the system. Finding… CONTINUE READING
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