We construct a nonarchimedean (or p-adic) analogue of the classical ternary Cantor set C. In particular, we show that this nonarchimedean Cantor set C3 is self-similar. Furthermore, we characterize C3 as the subset of 3-adic integers whose elements contain only 0’s and 2’s in their 3-adic expansions and prove that C3 is naturally homeomorphic to C. Finally, from the point of view of the theory ...

Wideband application put a new demand on antennas pertaining to size, gain, efficiency, bandwidth and more. This paper presents the design and analysis of fractal antenna which uses the self similarity property of fractal geometry. This unique property is exploited to develop antenna elements that are wideband and compact possessing highly desirable properties. The presented antenna is circle i...

This study aims to evaluate the efficiency of the concentration-number (C-N) fractal model for discrimination of soil horizon regarding the depth distribution profile. In this regard, soil parameters such as pH, organic carbon content, calcareous mineral content, electrical conductivity and available phosphorus of Ziarat forestland in Golestan Province, north of Iran, has been investigated. The...

A novel dual-band miniaturized frequency selective surface adopting fractal elements is proposed. The proposed structure is composed of interconnected four SZ curves of second generation. Such a design is to provide two pass-bands with stable performance, the first band resonates at S-band with a center frequency of 3.02GHz and the second band is at C-band centered at 7.22GHz. In addition, the ...

The fixed scale transformation ~FST! is a theoretical framework developed for the evaluation of scaling dimensions in a vast class of complex systems showing fractal geometric correlations. For models with long range interactions, such as Laplacian growth models, the identification by analytical methods of the transformation’s basic elements is a very difficult task. Here we present a Monte Car...

This paper proposes a new algorithm for Mandarin speech Consonant and Vowel (C/V) segmentation based on the fractal theory. The new method focuses on searching the transient region between the Consonant and Vowel parts in a Mandarin syllable that in general is a concatenation of a consonant followed by a vowel. The Multiscale Fractal Dimension Set (MFD) stands for the fractal dimensions at mult...

reverse link transmission model. The single mobile user is assumed to continuously transmit information data at 64kbit/s. The data are divided into a sequence of 5120bit data frames. Frame data are frst 16bit CRC encoded and then turbo encoded with coding rate of 1/3 and generator polynomials of 1, 517, 5/7 in octal notation (the two RSC encoders are the same and have a constraint length of 3 b...

Z. Naturforsch. 53 a, 819-822 (1998); received July 15, 1998 We analyse linear networks of impedances in the case when the impedances at every level differ by a factor of b from those at the previous level. Such networks can be used as models for rough surfaces, in which case there will exist a level of finest detail which must be taken into account in any calculation. We obtain an exact expres...

introduction: water and soil retention curve is one of the most important properties of porous media to obtain in a laboratory retention curve and time associated with errors. for this reason, researchers have proposed techniques that help them to more easily acquired characteristic curve. one of these methods is the use of fractal geometry. determining the relationship between particle size di...

This article presents a derivation of a new relative fractal dimension spectrum, DRq, to measure the dis-similarity between two finite probability distributions originating from various signals. This measure is an extension of the Kullback-Leibler (KL) distance and the Rényi fractal dimension spectrum, Dq. Like the KL distance, DRq determines the dissimilarity between two probability distibutio...