Digital noise generator based in a one-dimensional tent chaotic map on FPGA

Abstract

This paper presents a method to design and implement a digital noise generator module based on FPGA using the one-dimensional tent map (1-D tent map). In this proposal, the scaling and discretization processes are not necessary as other authors have done. When a one-dimensional chaotic map (1-D chaotic map) is scaled and discretized the resultant function is only an approximation to the 1-D chaotic map, whose output has evidence of periodicity within chaotic region. The design that we present in this paper is based on a floating point numerical representation in 64 bits double precision format of the IEEE-754: binary floating point arithmetic standard that provides a better representation of real numbers.