White Gaussian Chaos
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Artigo
Date
2017
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IEEE Communications Letters
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9
Authors
Eisencraft M.
Monteiro L.H.A.
Soriano D.C.
Monteiro L.H.A.
Soriano D.C.
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Volume Title
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Abstract
© 2017 IEEE.A discrete-time white Gaussian noise (WGN) is a random process with impulsive autocorrelation function. Also, the random variables obtained by sampling the process at any time instants are jointly Gaussian. WGN is widely used to model noise in engineering and physics. In this letter, we propose a way to generate chaotic signals that behave like WGN, due to the features of its autocorrelation function and its invariant density. From the tent map and by using as conjugacy map transformations commonly employed to random variables, we obtain a white Gaussian chaos (WGC) map. Numerical simulations are shown to illustrate the technique. WGC can be an interesting choice for chaos generator in chaos-based communication systems.
Description
Keywords
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Autocorrelation functions , Chaos generator , Chaos-based communication systems , Chaotic signal , Discrete - time systems , Discrete time , Invariant densities , White Gaussian Noise