S.N. Agievich - Ph.D. (Eng.), Senior Research Scientist, Leading Specialist, LTD «Special Technological Center» (St. Petersburg). E-mail: s_pon@mail.ru А.А. Ponomarev - Ph.D. (Eng.), Military Academy of Signal Communication (St. Petersburg). E-mail: s_pon@mail.ru G.S. Bogolepov - Deputy Head of Research Center Division - Head of Research Laboratory, Military Academy of Signal Communication (St. Petersburg). E-mail: bogolepov@inbox.ru S.S. Tikhonov - Senior Assistant Chief of Department, Military Academy of Signal Communication (St. Petersburg). E-mail: i.m.top.banana@gmail.com

Currently, the development of radio communication systems is limited by the scope of the existing mathematical apparatus of synthesis and analysis of radio signals, based on the harmonic bases. The classical approach often does not take into account the dual nature of modern radio signals, their smoothness, but a range of basis functions to generate radio signals is limited. So, there is a lack of appropriate mathematical models, methods of analysis, synthesis, and the formation and processing of radio signals. In practice, this leads to a significant reduction in the quality of existing radio signals processing (reducing the accuracy of estimating the parameters radio signals, noise immunity, processing speed), is an obstacle to the development radio signals with new properties. The paper proposes to change the situation through the use of spline algebraic harmonic analysis, devoid of the above-described disadvantages. Based on this and presented in the paper mathematical models, methods of analysis and synthesis of radio emissions in the bases of spline characters allow to shape radio signals with new properties and to carry out better their processing. Shown and confirmed by several patents for inventions that by taking into account the smoothness, information about the used basis of spline characters functions in the generating of radio signals, accuracy of estimation of the carrier frequency with a significant increase in processing speed in comparison with classical approaches improved. Furthermore it was demonstrated that in the basis of improving of noise immunity under the influence relayed interference on radio signal, formed by spline characters basis, lies filtration method, the main steps of which are presented in the work. The work will be of interest for specialists involved in the development of radio communication systems.

 

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