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Representation of discrete sequences with three-dimensional iterated function systems

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1 Author(s)
Mazel, D.S. ; IBM Federal Syst. Co., Manassa, VA, USA

Several recent papers have shown the ability of iterated function system (IFS) models to represent discrete sequences where the attractor of an IFS is self-affine either in R2 or R3 or is piece-wise self-affine in R2. We extend the piece-wise self-affine IFS model from R2 to R3 and we call this model the piece-wise hidden-variable fractal model. This extension permits the representation of discrete sequences with a fractal model that is general and flexible. This new model is presented and a constrained inverse algorithm for identification of the model parameters is given. Examples of this model to seismic data and speech data are then presented

Published in:

Signal Processing, IEEE Transactions on  (Volume:42 ,  Issue: 11 )