The Signum function method for the generation of correlated dichotomic chains

被引:12
作者
Apostolov, S. S. [1 ]
Izrailev, F. M. [2 ]
Makarov, N. M. [1 ]
Mayzelis, Z. A. [1 ]
Melnyk, S. S. [1 ]
Usatenko, O. V. [1 ]
机构
[1] Ukrainian Acad Sci, A Ya Usikov Inst Radiophys & Elect, UA-61085 Kharkov, Ukraine
[2] Univ Autonoma Puebla, Inst Fis, Puebla 72570, Mexico
关键词
D O I
10.1088/1751-8113/41/17/175101
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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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页数:23
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