Signum Function Method for Generation of Correlated Dichotomic Chains
arXiv:0711.1915 · doi:10.1088/1751-8113/41/17/175101
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