radioelectronicsИзвестия высших учебных заведений России. РадиоэлектроникаJournal of the Russian Universities. Radioelectronics1993-89852658-4794Saint Petersburg Electrotechnical University10.32603/1993-8985-2020-23-5-37-45radioelectronics-466Research ArticleРАДИОТЕХНИЧЕСКИЕ СРЕДСТВА ПЕРЕДАЧИ, ПРИЕМА И ОБРАБОТКИ СИГНАЛОВRADIO ELECTRONIC FACILITIES FOR SIGNAL TRANSMISSION, RECEPTION AND PROCESSINGProbability of Pulse Overlap as a Quantitative Indicator of Signal Environment ComplexityProbability of Pulse Overlap as a Quantitative Indicator of Signal Environment Complexityhttps://orcid.org/0000-0003-4144-222XPodstrigaevА. S.PodstrigaevA. S.

Alexey S. Podstrigaev, Cand. Sci. (Eng.) in Radar and Radio Navigation (2016), Associate Professor of the Department of Radio-Electronic Means, Head of Research Laboratory at JSC "Research Institute "Vector", 5 Professor Popov St., St Petersburg 197376, Russia

Alexey S. Podstrigaev, Cand. Sci. (Eng.) in Radar and Radio Navigation (2016), Associate Professor of the Department of Radio-Electronic Means, Head of Research Laboratory at JSC "Research Institute "Vector", 5 Professor Popov St., St Petersburg 197376, Russia

ap0d@ya.ruhttps://orcid.org/0000-0002-3250-4997SmolyakovА. V.SmolyakovA. V.

Andrey V. Smolyakov, Bachelor in Radio Engineering (2020), Design Engineer at JSC "Research Institute "Vector", 5 Professor Popov St., St Petersburg 197376, Russia

Andrey V. Smolyakov, Bachelor in Radio Engineering (2020), Design Engineer at JSC "Research Institute "Vector", 5 Professor Popov St., St Petersburg 197376, Russia

andreismolyakow@gmail.comhttps://orcid.org/0000-0002-4630-5382MaslovI. V.MaslovI. V.

Igor V. Maslov, PhD in Computer Science (2008, City University of New York), co-founder at the start-up R&D company, member of the Association for Computing Machinery, member of IEEE, 1-24-16 Sasazuka, Shibuya-ku, Tokyo, Japan

Igor V. Maslov, PhD in Computer Science (2008, City University of New York), co-founder at the start-up R&D company, member of the Association for Computing Machinery, member of IEEE, 1-24-16 Sasazuka, Shibuya-ku, Tokyo, Japan

gmaslov18@gmail.comSaint Petersburg Electrotechnical UniversityРоссияSaint Petersburg Electrotechnical UniversityRussian FederationEvoCo Inc.ЯпонияEvoCo Inc.Japan2020231120202353745Copyright © Podstrigaev А.S., Smolyakov А.V., Maslov I.V., 20202020Podstrigaev А.S., Smolyakov А.V., Maslov I.V.Podstrigaev A.S., Smolyakov A.V., Maslov I.V.This work is licensed under a Creative Commons Attribution 4.0 License.https://re.eltech.ru/jour/article/view/466Introduction

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

Aim. The development of the indicator of the signal environment complexity, which will make possible the quantitative assessment of such environment.

Materials and methods

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

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

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

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

Aim. The development of the indicator of the signal environment complexity, which will make possible the quantitative assessment of such environment.

Materials and methods

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

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

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.

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The authors declare that there are no conflicts of interest present.