Papers by Anatolii Leukhin
IEEE Transactions on Vehicular Technology
Proceedings of Spie the International Society For Optical Engineering, 2001
Proceedings of Spie the International Society For Optical Engineering, Mar 1, 2008
We inform on modelling a photon echo (PhE) shaping conditions as analog process which substitutes... more We inform on modelling a photon echo (PhE) shaping conditions as analog process which substitutes a part of labourconsuming computing operations at numerical calculation PhE in a formalism of quaternions algebra, and about its application for a computer construction (CC) for quaternion magnitudes.
2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA), 2015
Ensembles of periodic binary sequences with low off-peak autocorrelation and cross-correlation ar... more Ensembles of periodic binary sequences with low off-peak autocorrelation and cross-correlation are highly valued and difficult to find. The small Kasami, Kamaletdinov 1&2, and Rational Cycle are versatile, because they can be converted into Costas-like arrays for frequency/time hopping. We present a unified construction of such ensembles using linear feedback shift registers.
2015 Seventh International Workshop on Signal Design and its Applications in Communications (IWSDA), 2015
The algebraic solution of a 'complex' problem of synthesis of phase-coded (PC) sequence... more The algebraic solution of a 'complex' problem of synthesis of phase-coded (PC) sequences with the zero level of side lobes of the cyclic autocorrelation function (ACF) is proposed. It is shown that the solution of the synthesis problem is connected with the existence of difference sets for a given code dimension. The problem of estimating the number of possible code combinations for a given code dimension is solved. It is pointed out that the problem of synthesis of PC sequences is related to the fundamental problems of discrete mathematics and, first of all, to a number of combinatorial problems, which can be solved, as the number factorisation problem, by algebraic methods by using the theory of Galois fields and groups. Bibtex entry for this abstract Preferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Abstract Text Return: Query Results Return items starting with number Query Form Database: Astronomy Physics arXiv e-prints
Single sequences like Legendre have high linear complexity. Known CDMA families of sequences all ... more Single sequences like Legendre have high linear complexity. Known CDMA families of sequences all have low complexities. We present a new method of constructing CDMA sequence sets with the complexity of the Legendre from new frequency hop patterns, and compare them with known sequences. These are the first families whose normalized linear complexities do not asymptote to 0, verified for lengths up to 6x108. The new constructions in array format are also useful in watermarking images. We present a conjecture regarding the recursion polynomials. We also have a method to reverse the process, and from small Kasami/No-Kumar sequences we obtain a new family of 2n doubly periodic (2n+1)x(2n-1) frequency hop patterns with correlation 2.
Bulletin of the Russian Academy of Sciences Physics
Laser Physics
A principle of coherent laser cooling of a gas (molecular iodine vapor) is implemented by means o... more A principle of coherent laser cooling of a gas (molecular iodine vapor) is implemented by means of photon echo. A method for measuring the cooling degree of a gas and a technique for controlling the cooling time are proposed.
Laser Physics
We present the results of theoretical and experimental studies devoted to the non-Faraday rotatio... more We present the results of theoretical and experimental studies devoted to the non-Faraday rotation of polarization vectors of primary and stimulated photon-echo signals produced in a molecular iodine vapor in a longitudinal magnetic field specific for each type of branch of quantum transitions. Based on these results, we propose a visual approach for identifying the branch type for a resonant quantum transition by measuring the difference of the amplitudes of echo-signal projections on a fixed polarization plane.
Optoelectronics Instrumentation and Data Processing
ABSTRACT
Pattern Recognition and Image Analysis
Pattern Recognition and Image Analysis
Requirements to the shape of landmarks optimal for their recognition and parameter evaluation, ar... more Requirements to the shape of landmarks optimal for their recognition and parameter evaluation, are considered. Methods for coding a landmark shape using differential code and vector bunches defined on complex plane are offered. The results of search for unique secondary constellations on celestial sphere are presented.
Journal of Physics: Conference Series, 2015
A Bernasconi model for a one-dimensional chain of quantum particles is considered. It is shown th... more A Bernasconi model for a one-dimensional chain of quantum particles is considered. It is shown that searching for the ground state of such a quantum system is equivalent to searching for optimal binary sequences with minimum energy levels. The second criteria for the optimality of binary sequences with low levels of aperiodic autocorrelation is the minimax criterion, in which the peak level of side lobe (PSL) must be minimal. A review and new results regarding the construction of such binary sequences up to length N=82 are presented.
Bulletin of the Russian Academy of Sciences: Physics, 2014
Lecture Notes in Computer Science, 2014
2015 16th International Radar Symposium (IRS), 2015
High resolution imaging radars at millimeter-wave frequencies for obstacle avoidance for Unmanned... more High resolution imaging radars at millimeter-wave frequencies for obstacle avoidance for Unmanned Aerial Vehicles (UAV) utilize a large antenna aperture and sequential mechanical scanning of the aperture to form images with high fidelity. Planar arrays are an attractive alternative. They do not require mechanical scanning, and images are formed digitally using beamforming techniques [1]. To achieve image quality comparable to mechanically scanned radars, fully populated arrays require inordinate numbers of elements. These are costly, a challenge to design, and difficult to produce. Thinned or sparse arrays are a potential solution to this problem. MIMO (Multiple Input Multiple Output) techniques are an efficient method of thinning an array using spreading sequences to create an overlay of paired transmitter and receiver elements, without sacrificing image quality. The use of MIMO techniques to thin an array is a relatively recent development [2]. To be of practical use at millimeter-wave frequencies, MIMO techniques require the development of novel array geometries and architecture. This paper presents designs for the implementation of millimeter-wave planar arrays which have been thinned using MIMO techniques and considerers the limitations on the length of spreading sequences due to the increasingly pronounced effect of Doppler at higher frequencies. These considerations have led to the first instance of the use of the Moreno-Tirkel sequence Family B for high resolution imaging radar.
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Papers by Anatolii Leukhin