Generation of Correlated Binary Sequence from White Noise

TL;DR

This paper introduces a novel method for generating correlated binary sequences from white noise, useful for designing devices with specific transport properties, expanding the applications of convolution-based random process generation.

Contribution

It proposes a modified convolution method to produce correlated binary sequences, extending existing techniques for random process construction.

Findings

Method effectively generates correlated binary sequences.

Applicable to designing devices with selective transport properties.

Enhances the utility of convolution methods in random sequence generation.

Abstract

We suggest a method for generation of random binary sequences with prescribed correlation properties. It is based on a kind of modification of the widely used convolution method of constructing continuous random processes. Apart from the theoretical interest, this method can be used in various applications such as the design of one-dimensional devices giving rise to selective transport properties.