Maximum likelihood estimator for fractal dimension of fractal signal plus noise

Adil S. Balghonaim*, James M. Keller

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

Abstract

A maximum likelihood estimator (MLE) is developed for estimating the fractal dimension of single variable fraction Brownian motion (fBm) that was corrupted by additive noise. The procedure involve the construction of signal plus noise model and from the model we derive the likelihood function of the signal plus noise. We then estimate the fractal dimension by maximizing the likelihood function. The MLE was tested on fractal signal plus noise and the results was compared with the other fractal dimension estimator such as the Box method which do not handle additive noise. The results shows that the MLE gives better results than the Box method.

Original languageEnglish
Pages (from-to)223-228
Number of pages6
JournalCanadian Conference on Electrical and Computer Engineering
Volume1
StatePublished - 1997

ASJC Scopus subject areas

  • Hardware and Architecture
  • Electrical and Electronic Engineering

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