S S Apostolov et al 2008 J. Phys. A: Math. Theor. 41 175101 doi:10.1088/1751-8113/41/17/175101
The Signum function method for the generation of correlated dichotomic chains
S S Apostolov1, F M Izrailev2, N M Makarov1,3, Z A Mayzelis1, S S Melnyk1 and O V Usatenko1
Show affiliationsWe 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.
- PACS
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73.63.-b Electronic transport in nanoscale materials and structures
- MSC
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65C10 Random number generation
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
- Subjects
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Surfaces, interfaces and thin films
- Dates
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Issue 17 (2 May 2008)
Received 13 November 2007
Published 15 April 2008
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The Signum function method for the generation of correlated dichotomic chains
S S Apostolov et al 2008 J. Phys. A: Math. Theor. 41 175101
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-
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-
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-
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-
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-
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-
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