Publications by Thomas Schimming

Controlled One- and Multidimensional Modulations Using Chaotic Maps

Martin Hasler, Thomas Schimming, Slobodan Kozic

Recently, several approaches for communications using chaos have been presented, often showing less than acceptable performance. In this paper, a short introduction to the topic is given, and it is shown that such methods can be efficient—if the informatio ...

2006

Coded Modulation Based on Higher Dimensional Chaotic Maps

Thomas Schimming, Slobodan Kozic

In this paper we examine coded modulations based on iterations of higher dimensional piece-wise linear maps(PWLM). Particulary, we study a generalization of the Bernoulli map in higher dimensions and its application to communications. In the proposed schem ...

2005

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

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

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

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

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

Optimal and suboptimal chaos receivers

Martin Hasler, Thomas Schimming

The paper describes the state of the art in the design of receivers for chaos based digital communication over noisy channels. In the first part, an information theoretic analysis of the potential of chaos in digital communication schemes is given, underli ...

2002

Transmitters for chaos based communication: How chaotic is optimal?

Thomas Schimming

In a systematic way, the impact of chaos present in transmitters for chaos based communications is discussed; based on arguments from information theory. Conditions for the optimality of communication systems involving chaos in the transmitter are develope ...

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

Thomas Schimming

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Controlled One- and Multidimensional Modulations Using Chaotic Maps

Coded Modulation Based on Higher Dimensional Chaotic Maps

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

Chaotic map perturbation control trellis coded modulation

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

Minimum distance properties of coded modulations based on iterated chaotic maps

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

Optimal and suboptimal chaos receivers

Transmitters for chaos based communication: How chaotic is optimal?

Coded Modulations Using Chaotic Systems Controlled by Small Perturbations

Controlled One- and Multidimensional Modulations Using Chaotic Maps

Chaotic map perturbation control trellis coded modulation

Coded Modulation Based on Higher Dimensional Chaotic Maps

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

Minimum distance properties of coded modulations based on iterated chaotic maps

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

Coded Modulations Using Chaotic Systems Controlled by Small Perturbations

Transmitters for chaos based communication: How chaotic is optimal?

Optimal and suboptimal chaos receivers