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arXiv · 0711.1915

Signum Function Method for Generation of Correlated Dichotomic Chains

S. S. Apostolov·F. M. Izrailev·N. M. Makarov·Z. A. Mayzelis·S. S. Melnyk·O. V. Usatenko
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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.

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S. S. Apostolov, F. M. Izrailev, N. M. Makarov, Z. A. Mayzelis, S. S. Melnyk, O. V. Usatenko. 2007-11-13. Signum Function Method for Generation of Correlated Dichotomic Chains. https://doi.org/10.1088/1751-8113/41/17/175101

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