Signum Function Method for Generation of Correlated Dichotomic Chains

Details Signum Function Method for Generation of Correlated Dichotomic Chains Signum Function Method for Generation of Correlated Dichotomic Chains

2007-11-13

arxiv.org/abs/0711.1915v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 7 figures

Scientific paper

10.1088/1751-8113/41/17/175101

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.

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