Signum Function Method for Generation of Correlated Dichotomic Chains

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.

14 pages, 7 figures

References in corpus (5)

• Anomalous transport in low-dimensional systems with correlated disorder
• Competition between Two Kinds of Correlations in Literary Texts
• Generation of Correlated Binary Sequence from White Noise
• Selective Transport and Mobility Edges in Quasi-1D Systems with a Stratified Correlated Disorder
• Memory Function versus Binary Correlator in Additive Markov Chains

Cited by in corpus (7)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Microwave realization of quasi one-dimensional systems with correlated disorder
• Correlations in magnitude series to assess nonlinearities: application to multifractal models and heartbeat fluctuations
• Iterative Method for Generating Correlated Binary Sequences
• Correlation properties of the random linear high-order Markov chains
• Bunches of Random Cross-correlated Sequences
• Renewal model for dependent binary sequences