Wireless Communication with Chaos

Abstract

The modern world fully relies on wireless communication. Because of intrinsic physical constraints of the wireless physical media (multipath, damping, and filtering), signals carrying information are strongly modified, preventing information from being transmitted with a high bit rate. We show that, though a chaotic signal is strongly modified by the wireless physical media, its Lyapunov exponents remain unaltered, suggesting that the information transmitted is not modified by the channel. For some particular chaotic signals, we have indeed proved that the dynamic description of both the transmitted and the received signals is identical and shown that the capacity of the chaos-based wireless channel is unaffected by the multipath propagation of the physical media. These physical properties of chaotic signals warrant an effective chaos-based wireless communication system.

Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

“…These characteristics match or even exceed similar parameters of other solid-state and vacuum sources of chaotic signals [25,[63][64][65][66][67][68]. The latter makes the SL coupled to a resonator promising for using it as a key element in broadband sources of chaotic microwaves or fast random number generators [20,27,43,69], which could have applications in high-speed chaotic communications and spreadspectrum spectroscopy. In addition, previous works [24,28] have shown theoretically and experimentally that noise can significantly enhance the chaos generated in weakly coupled SLs.…”

“…We demonstrate that in the system under study the relative spectral band width of generated chaotic voltage oscillations is very sensitive to applied voltage and can reach values more than 25%. The results, which we report here, will be useful, e.g., for development and design of high-frequency chaos generators that use SL devices as key elements [27,43].…”

Reducing microwave absorption with fast frequency modulation

“…Chaotic waves can also be used as carrier waves of communications [17,18], hence the applications are similar to those of microwaves with fast frequency modulation as presented in this paper.…”

A Four-Dimensional Hyperchaotic Finance System and Its Control Problems

“…As a most significant system in nonlinear dynamical systems, chaos systems and their relative problems have attracted a lot of consideration from all kinds of researchers in many fields of science, and many significant results have been obtained in the past few decades; for details, see [2][3][4][5][6] and the references therein. From then on, chaos becomes a hot topic for a broad class of applications in physics, electrical engineering, secure communication, and many other fields [4][5][6]. As we know that the positive Lyapunov exponent of the chaotic systems is a critical prerequisite in these applications.…”