Publications related to Coded Modulation Based on Higher Dimensional Chaotic Maps

Movement generation using dynamical systems: a humanoid robot performing a drumming task

Auke Ijspeert, Ludovic Righetti, Sarah Dégallier Rochat

The online generation of trajectories in humanoid robots remains a difficult problem. In this contribution, we present a system that allows the superposition, and the switch between, discrete and rhythmic movements. Our approach uses nonlinear dynamical sy ...

2006

Classification of chaotic sequences with open-loop estimator - Optimal design for noisy environments

Martin Hasler, Thomas Schimming

In this paper, an approach based on ergodic properties for classifying sequences is given. It is particularly robust due to the open loop structure of the detector. Unlike previous works in this direction, such as those concerning the inverse system approa ...

2004

Minimum distance properties of coded modulations based on iterated chaotic maps

Thomas Schimming, Slobodan Kozic, Kumiko Oshima

In this paper we introduce a method for analyzing the performance of coded modulation schemes based on iterated chaotic maps. In particular, it is known from coding theory that the minimum distance plays an important role, defining the behavior of the erro ...

2003

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

Martin Hasler, Thomas Schimming

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 sy ...

2003

Chaotic map perturbation control trellis coded modulation

Martin Hasler, Thomas Schimming

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 sy ...

2003

Survival probability and local density of states for one-dimensional Hamiltonian systems

Jiri Vanicek

For chaotic systems there is a theory for the decay of the survival probability, and for the parametric dependence of the local density of states. This theory leads to the distinction between 'perturbative' and 'non-perturbative' regimes, and to the observ ...

2003

Semiclassical evaluation of quantum fidelity

Jiri Vanicek

We present a numerically feasible semiclassical (SC) method to evaluate quantum fidelity decay (Loschmidt echo) in a classically chaotic system. It was thought that such evaluation would be intractable, but instead we show that a uniform SC expression not ...

2003

How to repair CSK using small perturbation control - Case study and performance analysis

Thomas Schimming, Slobodan Kozic, Kumiko Oshima

In this paper we study coded modulation schemes based on iterated chaotic maps. In particular, we consider

CSK

-like systems in which a chaotic map is switched depending on the payload. We show how small perturbation control can substantially improve the ...

2003

Potential of chaos communication over noisy channels - Channel coding using chaotic piecewise linear maps

Martin Hasler, Thomas Schimming

The paper gives an information theoretic analysis of the potential of chaos in digital communication schemes, underlining that there is no fundamental principle that speaks against the use of chaotic systems in digital communications. The channel model con ...

2002

Coded Modulations Using Chaotic Systems Controlled by Small Perturbations

Martin Hasler, Thomas Schimming, Kumiko Oshima

Recently it has been observed that communications using chaos show best performance if the information production related to the chaos in the transmitter is controlled and used for the payload of the communication \cite{Schimming:Nolta:2002}. In the case o ...

2002

Coded Modulation Based on Higher Dimensional Chaotic Maps

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Movement generation using dynamical systems: a humanoid robot performing a drumming task

Classification of chaotic sequences with open-loop estimator - Optimal design for noisy environments

Minimum distance properties of coded modulations based on iterated chaotic maps

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

Chaotic map perturbation control trellis coded modulation

Survival probability and local density of states for one-dimensional Hamiltonian systems

Semiclassical evaluation of quantum fidelity

How to repair CSK using small perturbation control - Case study and performance analysis

Potential of chaos communication over noisy channels - Channel coding using chaotic piecewise linear maps

Coded Modulations Using Chaotic Systems Controlled by Small Perturbations

Movement generation using dynamical systems: a humanoid robot performing a drumming task

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

Classification of chaotic sequences with open-loop estimator - Optimal design for noisy environments

Potential of chaos communication over noisy channels - Channel coding using chaotic piecewise linear maps

How to repair CSK using small perturbation control - Case study and performance analysis

Coded Modulations Using Chaotic Systems Controlled by Small Perturbations

Minimum distance properties of coded modulations based on iterated chaotic maps

Survival probability and local density of states for one-dimensional Hamiltonian systems

Semiclassical evaluation of quantum fidelity

Chaotic map perturbation control trellis coded modulation