title: Iterative method for generating correlated binary sequences.
abstract: We propose an efficient iterative method for generating random correlated binary sequences with a prescribed correlation function. The method is based on consecutive linear modulations of an initially uncorrelated sequence into a correlated one. Each step of modulation increases the correlations until the desired level has been reached. The robustness and efficiency of the proposed algorithm are tested by generating sequences with inverse power-law correlations. The substantial increase in the strength of correlation in the iterative method with respect to single-step filtering generation is shown for all studied correlation functions. Our results can be used for design of disordered superlattices, waveguides, and surfaces with selective transport properties.
authors.affiliation: A. Ya. Usikov Institute for Radiophysics and Electronics, Ukrainian Academy of Science, 12 Proskura Street, 61085 Kharkov, Ukraine.
authors.forename: O V
authors.initials: OV
authors.lastname: Usatenko
authors.affiliation: A. Ya. Usikov Institute for Radiophysics and Electronics, Ukrainian Academy of Science, 12 Proskura Street, 61085 Kharkov, Ukraine.
authors.forename: S S
authors.initials: SS
authors.lastname: Melnik
authors.affiliation: A. Ya. Usikov Institute for Radiophysics and Electronics, Ukrainian Academy of Science, 12 Proskura Street, 61085 Kharkov, Ukraine.
authors.forename: S S
authors.initials: SS
authors.lastname: Apostolov
authors.affiliation: Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Privada 17 Norte No. 3417, Colonia San Miguel Hueyotlipan, Puebla, Puebla, 72050, Mexico.
authors.forename: N M
authors.initials: NM
authors.lastname: Makarov
authors.affiliation: Center for Nonlinear Science, University of North Texas, P.O. Box 311427, Denton, Texas 76203, USA.
authors.forename: A A
authors.initials: AA
authors.lastname: Krokhin