Probability of Pulse Overlap as a Quantitative Indicator of Signal Environment Complexity

Introduction. Simultaneous operation of numerous sources of radio emission form complex signal environment. Different devices with the common name “wideband analyzers” (WBA) are widely used to analyze and to control such environment. There is currently a need for developing the quantitative characteristics of a complex signal environment, which will make it possible to predict the stability of the WBA operation.Aim. The development of the indicator of the signal environment complexity, which will make possible the quantitative assessment of such environment.Materials and methods. To provide the desired indicator, simulation and mathematical tools for random events description are used. All calculations are performed using MatLab.Results. The principles of disturbances in the WBA receiver and algorithmic errors in the processing of overlapped signals are described. To quantify the “complexity” of the signal environment it is proposed to use the probability that pulses from several sources overlap in time. This allows one to compare signal environments with each other. The new analytical expression for estimating the pulse overlap probability is proposed. Functions of the pulse overlap probability from the complex signal environment parameters were obtained.Conclusion. According to the comparative analysis of the calculations using proposed analytical expression and simulation, the new expression allows one to achieve the calculation speed up to 6 orders of magnitude higher with an error below 7% compared to the simulation. The high performance of the calculations using the proposed expression allows one to simulate the complex signal environment in dynamics more efficiently.Introduction. Simultaneous operation of numerous sources of radio emission form complex signal environment. Different devices with the common name “wideband analyzers” (WBA) are widely used to analyze and to control such environment. There is currently a need for developing the quantitative characteristics of a complex signal environment, which will make it possible to predict the stability of the WBA operation.Aim. The development of the indicator of the signal environment complexity, which will make possible the quantitative assessment of such environment.Materials and methods. To provide the desired indicator, simulation and mathematical tools for random events description are used. All calculations are performed using MatLab.Results. The principles of disturbances in the WBA receiver and algorithmic errors in the processing of overlapped signals are described. To quantify the “complexity” of the signal environment it is proposed to use the probability that pulses from several sources overlap in time. This allows one to compare signal environments with each other. The new analytical expression for estimating the pulse overlap probability is proposed. Functions of the pulse overlap probability from the complex signal environment parameters were obtained.Conclusion. According to the comparative analysis of the calculations using proposed analytical expression and simulation, the new expression allows one to achieve the calculation speed up to 6 orders of magnitude higher with an error below 7% compared to the simulation. The high performance of the calculations using the proposed expression allows one to simulate the complex signal environment in dynamics more efficiently

Gravity in Brans-Dicke theory with Born-Infeld scalar field and the Pioneer anomaly

In this paper we discuss a model which can be considered as a generalization of the well-known scalar-tensor Brans-Dicke theory. This model possesses an interesting feature: due to Born-Infeld type non-linearity of the scalar field the properties of the interaction between two test bodies depend significantly on their masses. It is shown that the model can be interesting in view of the Pioneer 10, 11 spacecraft anomaly.Comment: 10 pages, 1 figure, partially changed conten

Doubling of background solution in 5D stabilized brane world model

We discuss a model providing two different stationary background solutions with flat and $dS_{4}$ metric on the branes under the same values of the fundamental parameters. It is shown that only an additional fine-tuning of the brane scalar field potentials can provide a separation between two background solutions.Comment: 7 pages, LaTeX, typos correcte

Peculiarities of pathogenesis of gastric cancer formed in the treatment of chronic non-atrophic gastritis by proton pump inhibitors

The data on the duration of use of proton pump inhibitors, the nature and duration of stress, and the timing of the first clinical and instrumentally confirmed manifestations of gastric cancer in 10 patients with chronic non-atrophic gastritis who were treated with proton pump inhibitors both in the form of monotherapy and the composition of standard regimens of H. pylori therapy. It was found that the duration of taking proton pump inhibitors ranged from 2 days to 2 months, and the duration of stress - from 2 years to 45 years. The first clinical manifestations occurred from the 1st to the 5th month after the end of the treatment, and the deterioration of the patients' condition proceeded quickly, “avalanche-like” within 7-10 days

Biofunctionalized magnetic microdiscs applied in medicine

The work was supported by the Russian Foundation for Basic Research, Government of Krasnoyarsk Territory, Krasnoyarsk Region Science and Technology Support Fund to the research project № 18-32-00035\18

Physical degrees of freedom in stabilized brane world models

We consider brane world models with interbrane separation stabilized by the Goldberger-Wise scalar field. For arbitrary background, or vacuum configurations of the gravitational and scalar fields in such models, we construct the second variation Lagrangian, study its gauge invariance, find the corresponding equations of motion and decouple them in a suitable gauge. We also derive an effective four-dimensional Lagrangian for such models, which describes the massless graviton, a tower of massive gravitons and a tower of massive scalars. It is shown that for a special choice of the background solution the masses of the graviton excitations may be of the order of a few TeV, the radion mass of the order of 100 GeV, the inverse size of the extra dimension being tens of GeV. In this case the coupling of the radion to matter on the negative tension brane is approximately the same as in the unstabilized model with the same values of the fundamental five-dimensional energy scale and the interbrane distance.Comment: 17 pages, LaTeX, corrected typos, amended the normalization constants of the scalar modes and their coupling constants to matte

Controlled anomalous transmission through plasma layers

We study propagation of a p-polarized electromagnetic wave through a two-layer plasma structure in an external magnetic field perpendicular to the incidence plane. It is shown that normally opaque plasma layer can be made absolutely transparent. The conditions for resonant transmission are obtained and analyzed. The influence of the external magnetic field on resonant transmission is studied. We show that one can control electromagnetic radiation transmitted through the plasma structure by altering the magnetic field.Изучается прохождение р-поляризованной электромагнитной волны через двухслойную плазменную структуру во внешнем магнитном поле, перпендикулярном плоскости падения. Показано, что непрозрачный плазменный слой может быть сделан абсолютно прозрачным. Условия резонансного прохождения получены и проанализированы. Изучено влияние магнитного поля на резонансное прохождение. Показано, что можно контролировать электромагнитное излучение, прошедшее через плазменную структуру, изменяя магнитное поле.Вивчається проходження р-поляризованої електромагнітної хвилі крізь двохшарову плазмову структуру в зовнішньому магнітному полі, перпендикулярному до площини падіння. Показано, що непрозорий плазмовий шар може бути зроблено абсолютно прозорим. Умови резонансного проходження отримано та проаналізовано. Вивчено вплив магнітного поля на резонансне проходження. Показано, що можна керувати проходженням електромагнітного випромінювання через плазмову структуру, змінюючи магнітне поле

Submanifolds in five-dimensional pseudo-Euclidean spaces and four-dimensional FRW universes

Equations for submanifolds, which correspond to embeddings of the four-dimensional FRW universes in five-dimensional pseudo-Euclidean spaces, are presented in convenient form in general case. Several specific examples are considered.Comment: 7 pages, LaTeX, the mathematical part of this paper is based on the withdrawn preprint arXiv:1012.0320 [gr-qc

Braneworlds in six dimensions: new models with bulk scalars

Six dimensional bulk spacetimes with 3-- and 4--branes are constructed using certain non--conventional bulk scalars as sources. In particular, we investigate the consequences of having the phantom (negative kinetic energy) and the Brans--Dicke scalar in the bulk while obtaining such solutions. We find geometries with 4--branes with a compact on--brane dimension (hybrid compactification) which may be assumed to be small in order to realize a 3--brane world. On the other hand, we also construct, with similar sources, bulk spacetimes where a 3--brane is located at a conical singularity. Furthermore, we investigate the issue of localization of matter fields (scalar, fermion, graviton, vector) on these 3-- and 4--branes and conclude with comments on our six dimensional models.Comment: 24 pages, 1 figure, Replaced to match version published in Class. Quant. Gra