Introduction. Methods of fractal geometry are widely used in geophysics and remote sensing for analyses of natural objects and dynamical systems beginning from the fundamental works of Mandelbrot [1]. In particular, in the mid 1990s, a number of authors [2, 3, 4, 5] established an idea that wave breaking and foam/whitecap fields observed in stormy oceans have a universal (multi)fractal characte...

In classical concepts, theoretical models are built assuming that the dynamics of the complex system’s stuctural units occur on continuous and differentiable motion variables. In reality, the dynamics of the natural complex systems are much more complicated. These difficulties can be overcome in a complementary approach, using the fractal concept and the corresponding non-differentiable theoret...

An innovative concept is utilized to develop the fractal antenna by coalesce the Koch prefractal and meander line. This fractal antenna is proposed for multistandard wireless applications. The shape and dimensions of the proposed antenna are chosen to obtain the multiband behaviour as well as miniaturized structure. Initially two different fractal concepts have been chosen through previous rese...

This paper presents a method for fast encoding and decoding of image sequences based on fractal coding theory and the hybrid coding concept. The DPCM-loop accounts for statistical dependencies of natural image sequences in temporal direction. Those regions of the original image where the prediction, i.e. motion estimation and compensatio, fails are encoded using an advanced fractal coding schem...

Antenna Miniaturization Using Fractals Richa Garg, AP ECE Deptt., [email protected], J.C.D.C.O.E., Sirsa ABSTRACTThe use of fractal geometry in designing antenna has been a resent topic of interest. Fractal shape has their own unique characteristics that the improved antenna performance can be achieved without degrading the antenna properties. Modern telecommunication system requires antenn...

In this paper, we introduce the concept of $$\alpha $$ -fractal function and fractal approximation for a set-valued continuous map defined on closed bounded interval real numbers. Also, study some properties such functions. Further, estimate perturbation error between given its function. Additionally, define new graph different from standard introduced in literature establish bounds dimension n...

It has been shown that the fractal dimension of 2D microvascular networks can discriminate between normal vs. tumor tissue (Gazit et al., 1995, 1997). We have determined the fractal characteristics of five 3D microvascular networks and conclude on the correlation between the computed fractal characteristics and the nature of the tissue of origin. The networks considered in the fractal analysis ...

The paper presents a novel technique of nonlinear spectral analysis, which has been used for processing encephalograms of humans. This technique is based on the concept of generalized entropy of a given probability distribution, known as the Rényi entropy that allows defining the set of generalized fractal dimensions of encephalogram (EEG) and determining fractal spectra of encephalographic sig...

Abstract: A novel antenna structure is proposed by combining the concept of a reconfigurable and fractal with the parasitic elements technique to obtain the multiband frequency reconfigurable antenna. Fractal antenna with triangular slot is designed for operating at multiple frequencies. The integration of PIN diode switches to the antenna changes the frequency of the antenna dynamically. This ...

Horizontal distribution of the copepod Neocalanus cristatus was shown to be fractal on the scale between tens of meters and over 100 km. The fractal dimensions ranged between 1.68–1.89, significantly higher than those of oceanic turbulence and phytoplankton distribution. 1. Introduction Heterogeneity in the horizontal distribution of zooplankton has been recognized for many years (e.g. Hardy, 1...