Intelligent OFDM telecommunication system. Part 1. Model of complex and quaternion systems

In this paper, we aim to investigate the superiority and practicability of many-parameter transforms (MPTs) from the physical layer security (PHY-LS) perspective. We propose novel Intelligent OFDM-telecommunication systems based on complex and quaternion MPTs. The new systems use inverse MPT (IMPT) for modulation at the transmitter and MPT for demodulation at the receiver. The purpose of employing the MPT is to improve: 1) the PHY-LS of wireless transmissions against to the wide-band anti-jamming and anti-eavesdropping communication; 2) the bit error rate (BER) performance with respect to the conventional OFDM-TCS; 3) the peak to average power ratio (PAPR). Each MPT depends on finite set of independent parameters (angles). When parameters are changed, many-parametric transform is also changed taking form of a set known (and unknown) orthogonal (or unitary) transforms. For this reason, the concrete values of parameters are specific "key" for entry into OFDM-TCS. Vector of parameters belong to multi-dimension torus space. Scanning of this space for find out the "key" (the concrete values of parameters) is hard problem. MPT has the form of the product of the Jacobi rotation matrixes and it describes a fast algorithm for MPT. The main advantage of using MPT in OFDM TCS is that it is a very flexible anti-eavesdropping and anti-jamming Intelligent OFDM TCS. To the best of our knowledge, this is the first work that utilizes the MPT theory to facilitate the PHY-LS through parameterization of unitary transforms. © 2019 IOP Publishing Ltd. All rights reserved

Intelligent OFDM telecommunication system. Part 2. Examples of complex and quaternion many-parameter transforms

In this paper, we propose unified mathematical forms of many-parametric complex and quaternion Fourier transforms for novel Intelligent OFDM-telecommunication systems (OFDM-TCS). Each many-parametric transform (MPT) depends on many free angle parameters. When parameters are changed in some way, the type and form of transform are changed as well. For example, MPT may be the Fourier transform for one set of parameters, wavelet transform for other parameters and other transforms for other values of parameters. The new Intelligent-OFDM-TCS uses inverse MPT for modulation at the transmitter and direct MPT for demodulation at the receiver. © 2019 IOP Publishing Ltd. All rights reserved

Mozambique's tainted parliamentary and presidential elections (December 2004)

Dieser Beitrag beschäftigt sich mit den Parlaments- und Präsidentschaftswahlen in Mosambik im Dezember 2004. Charakteristisch für die Wahlen war die geringe Wahlbeteiligung von nur 34 Prozent. Gründe für diesen hohen Anteil an Nichtwählern sind der Mangel an Alternativen zu Frelimo (Mosambikische Befreiungsfront)-Regierung, die chaotische Organisation der Wahl und die mangelnde staatsbürgerliche Bildung. Auf der anderen Seite spiegelt die niedrige Wahlbeteiligung aber auch die Frustration eines weiten Teils der Bevölkerung wieder, die sich von der Regierung einen Ausbau der Sozialendienste und eine Hebung des Lebensstandards versprochen hatte. Die herrschende Frelimo-Regierung wendete sich 1989 offiziell vom Marxismus ab. Die im folgenden Jahr aufgestellte Verfassung garantierte freie Wahlen in einem Mehrparteiensystem und die freie Marktwirtschaft. In den Präsidentschaftswahlen im Dezember 2004 triumphierte der Frelimo-Kandidat Armando Guebuza mit 63,7% über seinen Herausforderer Afonso Dhlakama, den langjährigen Führer der Renamo (Nationaler Widerstand Mosambiks). Die Renamo wird von einem großen Teil der Bevölkerung nicht als Alternative zur gegenwärtigen Regierung betrachtet. Deshalb wirkt sich der Vertrauensverlust der Frelimo-Regierung unter den Bürgern in Form einer niedrigen Wahlbeteiligung aus. Anstatt Renamo zu wählen, geht man lieber gar nicht zur Wahl. (ICB2

Агрегационный подход к нелинейной фильтрации. Часть 1. SISO-фильтры

In this work, we introduce and analyze a new class of nonlinear SISO-filters that have their roots in aggregation operator theory. We show that a large body of non-linear filters proposed to date constitute a proper subset of aggregation filters

Агрегационный подход к нелинейной фильтрации. Часть 2. MIMO-фильтры

В этой статье мы расширяем понятие медианы Фреше до обобщенной медианы, которая минимизирует стоимостную функцию Фреше в форме агрегационной функции (вместо тривиальной суммы) от расстояний. Мы используем обобщенную медиану для конструирования новых нелинейных Фреше MIMO-фильтров для обработки многоканальных изображений.In this paper, we extend the notion of the Fréchet median to the general Fréchet median, which minimizes the Fréchet cost function (FCF) in the form of aggregation of metric distances, instead of the ordinary sum. Moreover, we propose use an aggregation distance instead of classical metric distance. We use generalized Fréchet median for constructing new nonlinear Fréchet MIMO-filters for multispectral image processing

Cryptosystems based on RS and BCH codes over finite noncommutative algebras

The purpose of this paper is to introduce new cryptosystems based on linear Reed-Solomon (RC) and Bose-Chaudhuri-Hocquenghem (BCH) codes over finite Cayley-Dickson and finite Clifford algebras with fast code and encode procedures based on fast Fourier- Clifford-Galois transforms. © 2018 Institute of Physics Publishing. All rights reserved.Springer) p 88 [21] Pall G 1940 On the arithmetic of quaternions Tran. Amer. Math. Soc. 47 487-500 [22] Chernov V M 2015 Quasiparallel algorithm for error-free convolution computation using reduced Mersenne–Lucas codes Computer Optics 39 241-248 [23] Conway J H and Sloane N J A 1993 Sphere Packings, Lattices and Groups (Berlin: Verlag-Springer) p 573 [24] Hurwitz A 1896 Uber die Zahlentheorie der Quaternione Math.-Phys. Klasse (Gottingen: Nachr. Ges. Wiss.) 303-330, 313-340 Acknowledgments This work was supported by grants the RFBR № 17-07-00886 and by Ural State Forest Engineering’s Center of Excellence in ”Quantum and Classical Information Technologies for Remote Sensing Systems”

Intelligent OFDM telecommunication system. Part 3. Anti-eavesdropping and anti-jamming properties of system, based on many-parameter wavelet and Golay transforms

In this paper, we aim to investigate the superiority and practicability of many-parameter Fourier transforms (MPFT) from the physical layer security (PHY-LS) perspective. We propose novel Intelligent OFDM-telecommunication system (Intelligent-OFDM-TCS), based on MPFT. New system uses inverse MPFT for modulation at the transmitter and direct MPFT for demodulation at the receiver. The purpose of employing the MPFTs is to improve the PHY-LS of wireless transmissions against to the wide-band anti-jamming communication. Each MPFT depends on finite set of independent parameters (angles), which could be changed independently one from another. When parameters are changed, multi-parametric transform is also changed taking form of a set known (and unknown) orthogonal (or unitary) transforms. We implement the following performances as bit error rate (BER), symbol error rate (SER), the Shannon-Wyner secrecy capacity (SWSC) for novel Intelligent-MPWT-OFDM-TCS. Previous research has shown that the conventional OFDM TCS based on discrete Fourier transform (DFT) has unsatisfactory characteristics in BER, SWSC and in anti-eavesdropping communications. We study Intelligent-MPWT-OFDM-TCS to find out optimal values of angle parameters of MPFT optimized BER, SWSC, anti-eavesdropping effects. Simulation results show that the proposed Intelligent OFDM-TCS have better performances than the conventional OFDM system based on DFT against eavesdropping. © 2019 IOP Publishing Ltd. All rights reserved

Intelligent OFDM telecommunication system. Part 4. Anti-eavesdropping and anti-jamming properties of the system, based on many-parameter and fractional Fourier transforms

In this paper, we aim to investigate the superiority and practicability of many-parameter wavelet and Golay transforms (MPWT and MPGT) from the physical layer security (PHY-LS) perspective. We propose novel Intelligent OFDM-telecommunication system (Intelligent-OFDM-TCS), based on many-parameter transforms (MPTs). New system uses inverse MPT for modulation at the transmitter and direct MPT for demodulation at the receiver. The purpose of employing the MPTs is to improve the PHY-LS of wireless transmissions against to the wide-band anti-jamming communication. Each MPT depends on finite set of independent Jacobi parameters (angles), which could be changed independently one of another. When parameters are changed, multi-parametric transform is changed too taking form of a set known (and unknown) orthogonal (or unitary) wavelet transforms. We implement the following performances as bit error rate (BER), symbol error rate (SER), peak to average power ratio (PAPR), the Shannon-Wyner secrecy capacity (SWSC) for novel Intelligent-MPWT-OFDM-TCS. Previous research has shown that the conventional OFDM TCS based on discrete Fourier transform (DFT) has unsatisfactory characteristics in BER, PARP, SWSC and in anti-eavesdropping communications. We study Intelligent-MPT-OFDM-TCS to find out optimal values of angle parameters of MPT optimized BER, PAPR, SWSC, anti-eavesdropping effects. Simulation results show that the proposed Intelligent OFDM-TCS have better performances than the conventional OFDM system based on DFT against eavesdropping. © 2019 IOP Publishing Ltd. All rights reserved

Many factor mimo-filters

Исследуется эффективность модифицированных многофакторных (би-, три- и четырех-латеральных) MIMO-фильтров для серых, цветных и гиперспектральных изображений. Обычные билатеральные фильтры осуществляют взвешенное усреднение соседних пикселей. Веса включают две компоненты: пространственную и радиометрическую. Первая компонента учитывает геометрическое расстояние между центральным пикселем маски и его локальными соседями. Второй компонент учитывает радиометрическое расстояние между центральным пикселем маски и его локальными соседями. В этом классическом алгоритме центральный пиксель маски играет определяющую роль в конечном результате фильтрации. Если он искажен, то и результат фильтрации будет искаженным. Этот факт определяет первую модификацию: центральный пиксель заменяется его любой сглаженной версией, полученной на основе соседних пикселей. Вторая модификация использует матрично-значные веса. Они включают четыре компоненты: пространственную, радиометрическую, межканальную и радиометрическую межканальную. Четвертый вес учитывает радиометрическое расстояние между центральным пикселем и межканальными соседними пикселями

Generalized classical and quantum signal theories on hypergroups. Part 1. Clasical signal theory

In this paper we develop generalized nonharmonic analysis of signals and images on commu­tative hypergroups, associated with arbitrary unitary (orthogonal) transforms. We introduce general­ized convolutions, correlations, Wigner-Ville distributions, and ambiguity functions. All theorems and properties of ordinary classical Fourier harmonic analysis are transferred on nonharmonic analysis Fourier on arbitrary Abelian hypergroups