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In this paper there are solved two related problems: the development of the method and correspondent algorithm of code binary sequences synthesis with property of minimal level of side lobes of their aperiodic autocorrelation functions. The method is based on discrete representation of autocorrelation function in form of equations system considered on a set of integer numbers, set-theoretical representation of components of the sequence, their integer-number transformations, mutual properties and relations. There are obtained the expressions defining the dependences of absolute value of the sequence elements on a sum of levels of side lobes of aperiodic and periodic correlation functions; there are defined the necessary conditions of existence binary code sequences ; there are developed the mathematical models of binary code sequences components transformations. The efficiency criterion of each proposed algorithm is the relation of amount of all possible variants of binary code sequences of definite size l to amount of defined by proposed algorithms; the expressions for these quantities are obtained. The efficiency of proposed method and algorithms is verified by simulation results and it increases with increase of size l.

The paper considers the problem of synthesis of code binary sequences (CBS) with optimal aperiodic autocorrelation functions according to the criterion of at least 4 levels of side lobes of the corresponding aperiodic autocorrelation function. The properties of algebraic operations in the finite fields are used to represent the above code binary sequences, their elements, and the convolution. The matrix, which determines the dependence between signs plus and minus of the elements of the binary sequences, also provide the possibility of establishing interrelation of the above-mentioned levels of side lobes. For the sequences of small dimensions, as an illustration, the analytical expressions of the specified relationship are given. The algorithm is substantiated and suggested, an example of synthesis of code binary sequences is given.

This paper shows the practical use of genetic algorithm (GA) in the search of novel multi-phase signal-code sequences that can be used in radar systems as well as communications. A few examples of such sequences and their characteristics compared to well-known signals and codes are presented

The paper considers the problem of synthesis of code binary sequences (CBS) with optimal aperiodic autocorrelation functions according to the criterion of at least 4 levels of side lobes of the corresponding aperiodic autocorrelation function. The properties of algebraic operations in the finite fields are used to represent the above code binary sequences, their elements, and the convolution. The matrix, which determines the dependence between signs plus and minus of the elements of the binary sequences, also provide the possibility of establishing interrelation of the above-mentioned levels of side lobes. For the sequences of small dimensions, as an illustration, the analytical expressions of the specified relationship are given. The algorithm is substantiated and suggested, an example of synthesis of code binary sequences is given.

The paper proposes an approach, identifies and formulates the necessary condition for the existence of a discrete coded sequence irrespective of the dimension of its alphabet, proposes a model of reflections and transformations of ordered sets of elements of a sequence, an example of a binary sequence with an optimized aperiodic autocorrelation function obtained based on the proposed approach.

The method of synthesis of coded binary sequences with given simple dimensionality and levels of side lobes of the periodic autocorrelation function is developed and proposed. The method is based on the use of the properties of cyclic maps, d functions and comparisons of the theory of numbers. An example of the synthesis of an optimal binary sequence of dimension 23 is given.

This paper considers the problem of forming formal statements regarding the formal parameters of binary code sequences, mathematical model transformations, their properties and the order of operations while optimizing the sequence on the criteria of minimal side lobes. The results of modeling are shown as a group of optimized binary code sequences.

This paper is devoted to the problem of designing and construction of the installation that will allow to investigate real poly-phase signals, their characteristics, find the optimal methods of their generation, receiving and processing.

This paper is devoted to the problem of signal-to-noise ratio (SNR) estimation in communication, telemetry and radar systems.

This paper is devoted to the problem of noises influence on the complex multiphase signals that could be used as probing signals in the radar systems.

The principles of construction and technical implementation of multichannel integrated remote sensing systems based on the separate channels which work at splitted spectral bands were developed.