Signum Function Method for Generation of Correlated Dichotomic Chains
Disordered Systems and Neural Networks
2012-05-15 v1 Mesoscale and Nanoscale Physics
Abstract
We analyze the signum-generation method for creating random dichotomic sequences with prescribed correlation properties. The method is based on a binary mapping of the convolution of continuous random numbers with some function originated from the Fourier transform of a binary correlator. The goal of our study is to reveal conditions under which one can construct binary sequences with a given pair correlator. Our results can be used in the construction of superlattices and waveguides with selective transport properties.
Cite
@article{arxiv.0711.1915,
title = {Signum Function Method for Generation of Correlated Dichotomic Chains},
author = {S. S. Apostolov and F. M. Izrailev and N. M. Makarov and Z. A. Mayzelis and S. S. Melnyk and O. V. Usatenko},
journal= {arXiv preprint arXiv:0711.1915},
year = {2012}
}
Comments
14 pages, 7 figures