Publications related to Dyadic transformation

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

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

Coding and Learning of behavioral sequences

Wulfram Gerstner, Henry Markram

A major challenge to understanding behavior is how the nervous system allows the learning of behavioral sequences that can occur over arbitrary timescales, ranging from milliseconds up to seconds, using a fixed millisecond learning rule. This article descr ...

2004

Composition of UML Described Refactoring Rules

Slavisa Markovic

Refactorings represent a powerful approach for improving the quality of software systems. A refactoring can be seen as a special kind of behavior preserving model transformation. The Object Constraint Language (OCL) together with the metamodel of Unified M ...

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

Fractional Wavelets, Derivatives, and Besov Spaces

Michaël Unser, Thierry Blu

We show that a multi-dimensional scaling function of order γ (possibly fractional) can always be represented as the convolution of a polyharmonic B-spline of order γ and a distribution with a bounded Fourier transform which has neither order nor smoothness ...

SPIE2003

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

Exploring Unstsable Periodic Orbits Using Super Stable Ones

This paper deals with Super Stable Orbits (SSOs) of the logistic map, and how they can be used to describe Unstable Periodic Orbits (UPOs).~We will show that Unstable Periodic Orbits have almost the same correlation properties as Super Stable ones from whi ...

2002

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

Coding and Learning of behavioral sequences

Composition of UML Described Refactoring Rules

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

Fractional Wavelets, Derivatives, and Besov Spaces

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

Exploring Unstsable Periodic Orbits Using Super Stable Ones

Exploring Unstsable Periodic Orbits Using Super Stable Ones

Composition of UML Described Refactoring Rules

Chaotic map perturbation control trellis coded modulation

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

Fractional Wavelets, Derivatives, and Besov Spaces

Coding and Learning of behavioral sequences

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

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