Publication

Coded modulations based on controlled 1-D and 2-D piecewise linear chaotic maps

Martin Hasler, Thomas Schimming
2003
Conference Papers

Abstract

In this paper, the authors examine the use of chaotic systems based on the iteration of 1-D and 2-D piecewise linear chaotic maps in a coded modulation scheme. In the proposed scheme, the transmitted information is imposed on the dynamics of the chaotic systems by a small perturbation control method. By means of this control method, the system is driven in such a way that the symbolic sequence associated with the produced signal corresponds to the payload information, up to a possible coding delay. We investigate such systems and, in particular, their relation with trellis coded modulations. We show particular examples with good performance for real- and complex valued Gaussian channels.

Official source

https://infoscience.epfl.ch/entities/publication/73d653ff-3e4e-422a-a492-9535f411901f

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Martin Hasler, Thomas Schimming
2003
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/73d653ff-3e4e-422a-a492-9535f411901f

About this result

Related concepts (32)

Modulation

In electronics and telecommunications, modulation is the process of varying one or more properties of a periodic waveform, called the carrier signal, with a separate signal called the modulation signal that typically contains information to be transmitted. For example, the modulation signal might be an audio signal representing sound from a microphone, a video signal representing moving images from a video camera, or a digital signal representing a sequence of binary digits, a bitstream from a computer.

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.

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.

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