Using iterated function systems to model discrete sequences

  • Authors:
  • D.S. Mazel;M.H. Hayes

  • Affiliations:
  • Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1992

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Abstract

Two iterated function system (IFS) models are explored for the representation of single-valued discrete-time sequences: the self-affine fractal model and the piecewise self-affine fractal model. Algorithms are presented, one of which is suitable for a multiprocessor implementation, for identification of the parameters of each model. Applications of these models to a variety of data types are given where signal-to-noise ratios are presented, quantization effects of the model parameters are investigated, and compression ratios are computed