A Significant Property of Mapping Parameters for Signal Interpolation Using Fractal Interpolation Functions

Satoshi UEMURA  Miki HASEYAMA  Hideo KITAJIMA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E87-A   No.3   pp.748-752
Publication Date: 2004/03/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
Keyword: 
fractal interpolation functions,  self-similarity,  self-affinity,  upsampling,  interpolation,  

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Summary: 
This letter presents a significant property of the mapping parameters that play a central role to represent a given signal in Fractal Interpolation Functions (FIF). Thanks to our theoretical analysis, it is derived that the mapping parameters required to represent a given signal are also applicable to represent the upsampled signal of a given one. Furthermore, the upsampled signal obtained by using the property represents the self-affine property more distinctly than the given signal. Experiments show the validity and usefulness of the significant property.