Publication

Ergodic chaos shift keying for 2 users

Martin Hasler, Thomas Schimming
2001
Conference Papers

Abstract

We show how a multiuser chaos-based communication system can be designed. The approach builds on the recently introduced method of ergodic chaos shift keying. This method uses a nonlinear correlation estimator for extracting the binary information from the received, noise corrupted chaotic signal. Using corresponding uncorrelated signals, several users sending over the same noisy channel can in principle be decoded separately and independently. We show how this can be done for two users. The performance of this system is, however, not yet very good.

Official source

https://infoscience.epfl.ch/entities/publication/3fea45ea-cae0-4b8c-825c-a8d886a3f91f

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Martin Hasler, Thomas Schimming
2001
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/3fea45ea-cae0-4b8c-825c-a8d886a3f91f

About this result

Related concepts (22)

Ergodicity

In mathematics, ergodicity expresses the idea that a point of a moving system, either a dynamical system or a stochastic process, will eventually visit all parts of the space that the system moves in, in a uniform and random sense. This implies that the average behavior of the system can be deduced from the trajectory of a "typical" point. Equivalently, a sufficiently large collection of random samples from a process can represent the average statistical properties of the entire process.

Dynamical systems theory

Dynamical systems theory is an area of mathematics used to describe the behavior of complex dynamical systems, usually by employing differential equations or difference equations. When differential equations are employed, the theory is called continuous dynamical systems. From a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization where the equations of motion are postulated directly and are not constrained to be Euler–Lagrange equations of a least action principle.

Chaos theory

Chaos theory is an interdisciplinary area of scientific study and branch of mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions, and were once thought to have completely random states of disorder and irregularities. Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals, and self-organization.