Publications related to Belief Propagation Decoding for Codes Based on Discretized Chaotic Maps

Approximately periodic time series and nonlinear structures

In this thesis a previously developed framework for modelling diversity of approximately periodic time series is considered. In this framework the diversity is modelled deterministically, exploiting the irregularity of chaos. This is an alternative to othe ...

EPFL2005

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

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

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

Modelling diversity by chaos and classification by synchronization

Martin Hasler, Oscar De Feo

A new chaos-based technique for modelling the diversity of approximately periodic signals is introduced and exploited, combined with generalized chaotic synchronization phenomena, for the solution of temporal pattern recognition problems ...

Kluwer Academic Publishers2003

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

Finite-length analysis of various low-density parity-check ensembles for the binary erasure channel

Rüdiger Urbanke, Mohammad Amin Shokrollahi

We investigate the average erasure probability of the belief propagation algorithm over the binary erasure channel (BEC) for various finite-length low- density parity-check (LDPC) ensembles. In particular, we give tight upper bounds on the "error floor", i ...

2002

Statistical analysis and optimization of chaos based broadband communications

Thomas Schimming

This thesis treats the topic of chaos based broadband communication schemes, with particular emphasis on the statistical analysis and optimization of such schemes. The work is motivated by the recent advances in nonlinear system theory suggesting advantage ...

EPFL2002

Belief Propagation Decoding for Codes Based on Discretized Chaotic Maps

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Approximately periodic time series and nonlinear structures

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

Minimum distance properties of coded modulations based on iterated chaotic maps

Chaotic map perturbation control trellis coded modulation

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

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

Modelling diversity by chaos and classification by synchronization

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

Finite-length analysis of various low-density parity-check ensembles for the binary erasure channel

Statistical analysis and optimization of chaos based broadband communications

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

Chaotic map perturbation control trellis coded modulation

Finite-length analysis of various low-density parity-check ensembles for the binary erasure channel

Modelling diversity by chaos and classification by synchronization

Approximately periodic time series and nonlinear structures

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

Statistical analysis and optimization of chaos based broadband communications

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