A Novel Technique for Generation of Correlated Bit Sequences with Application to Gaussian Channels

Micael Andrade Dias, Francisco M. de Assis, Juliana M. de Assis

DOI: 10.14209/sbrt.2024.1571033160

Evento: XLII Simpósio Brasileiro de Telecomunicações e Processamento de Sinais (SBrT2024)

Keywords: Binary expansion Sampling BSC

Abstract

There are many applications to random sequences of bits, such as in computer science and cryptography. In this paper, we propose a low-complexity technique for generating sequences of correlated or uncorrelated bits. This technique allows the generation of different pairs of bits with the same correlation, as also controls if the bits are equiprobable on {0,1} or not. Additionally, we derived an expression and a numerical approximation to the performance of a binary symmetric channel obtained from the binary expansion of transformed Gaussian correlated random variables, which is related to a recently proposed scheme for quantum key distribution with continuous variables. Simulation of this binary symmetric channel agrees with the obtained expression and numerical approximation.

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