We tested for nonlinearity 16-channels EEG-data of 21 healthy human subjects by surrogate data method using S-map forecasting as a discriminant statistics, showing that in most cases one may not reject the null hypothesis that the signal was generated by a linear stochastic process. We also demonstrated that fractal dimension of EEG-signal in time domain works as a relative index of signal’s di...

The paper comprises a study of absolute stability, input-to-state stability, and boundedness properties of a feedback interconnection of a finite-dimensional, linear, m-input, m-output system (A, B, C) and a set-valued nonlinearity Φ. With reference to Figure 1, we assume that D is a set-valued map in which input or disturbance signals are embedded. The analytical framework is of sufficient gen...

We consider the conservative H enon mapping, which is the one dimensional model of a FODO cell with a sextupole nonlinearity. We analyse the well known problem of estimating the dynamic aperture of such a model with analytical tools. A complete solution can be found by drawing the stable and unstable manifolds which emanate from the xed point of the map; the envelope of these manifolds exactly ...

We develop a Hamiltonian control theory suitable for a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior than the uncontrolled one. Using the Smaller Alignement Index (SALI) chaos indicator, we are able to show that the controlled system has a dynamical aperture...

In periodically dispersion managed long-haul transmission systems, waveform distortion is dominated by chromatic dispersion. As a result of the periodic waveform evolution, the nonlinear behavior also repeats itself in every dispersion period. It is shown that, under the weakly nonlinear assumption, nonlinear effects accumulated in a large number (K) of spans can be approximated by nonlinear ef...

A feedback connection of a Hammerstein system and a linear controller provides a good approach to modeling systems with actuator nonlinearity or input saturation during closed-loop experiments. This paper discusses closed-loop identification of Hammerstein systems where both input and output signals are correlated with noise, and time domain signals are related via a nonlinear map. The static n...

Advanced Encryption Standard (AES) block cipher system is widely used in cryptographic applications. Substitution boxes (S-boxes) are keystone of modern symmetric cryptosystems. They bring nonlinearity to cryptosystems and strengthen their cryptographic security. The S-box component that used in classic AES is fixed. If we generate this S-box dynamically, the cryptographic strength of AES ciphe...

We experimentally demonstrate improved intra-channel nonlinearity tolerance of the root M-shaped pulse (RMP) with respect to the root raised cosine (RRC) pulse in spectrally efficient 128 Gbit/s PDM-16QAM coherent transmission systems. In addition we evaluate the impact of dispersion map and fiber dispersion parameter on the intra-channel nonlinearity tolerance of the RRC pulse and the RMP via ...

This paper aims at a discussion of the structure of the SLAM problem. The analysis is not strictly formal but based both on thought experiments and mathematical derivation. The first part highlights the structure of uncertainty of an estimated map with the key result being “Certainty of Relations despite Uncertainty of Positions”. A formal proof for approximate sparsity of so-called information...

A new multiuser detector (MUD) exploiting the MAP algorithm is proposed for channels affected by severe multipath and is then suitable for TDCDMA receivers. After coherent combining the received multipaths, a multidimensional MAP nonlinearity is employed to compute step-by-step the A Posteriori Probabilities (APPs) of the transmitted data for each user separately and then their expected values ...