Segmented fractal dimension measurement of 1-D signals: A wavelet based method
Nugraha H.B.a, Langi A.Z.R.a
a Department of Electrical Engineering, IURC Microelectronics, Bandung Institute of Technology, Indonesia
Abstract
© 2002 IEEE.Fractal dimension is an important characteristic of signals that contain information about their structure complexity. Although, fractal dimension estimation of geometric objects has shown very good results, it is a big problem to estimate the dimension of a 1-D signal. As the dynamics of the signal may vary over time, then its fractal dimension also varies over time. This paper shows our estimations of fractal dimensions of 1-D signal based on wavelet coefficients which are obtained from the maxima lines of a continuous wavelet transform. Instead of their exact estimated values, we are more interested in analyzing their dimension variation over time. Our measurement shows that a stationary signal has relatively constant dimension, on the other hand, a non-stationary signal has varying dimension. These measurements lead us to acquire a different method of signal characterization.
Author keywords
Biological system modeling,Continuous Wavelet Transform,Dimension measurements,Fractal dimension estimation,Image texture analysis,Shape,Signal characterization,Size measurements
Indexed keywords
Biological system modeling,Fractals,Geometry,Image analysis,Image texture analysis,Power measurement,Shape,Signal analysis,Size measurement,Wavelet transforms