Calculation of symbol error rate in a telecommunication system based on amplitude modulation of many components

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dc.citation.epage149
dc.citation.issue2
dc.citation.spage137
dc.contributor.affiliationНаціональний університет “Львівська політехніка”
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorГорбатий, І. В.
dc.contributor.authorHorbatyi, I. V.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2023-10-24T07:21:41Z
dc.date.available2023-10-24T07:21:41Z
dc.date.created2021-03-01
dc.date.issued2021-03-01
dc.description.abstractРозглянуто відомі аналітичні співвідношення для обчислення ймовірності символьної помилки в М-вій телекомунікаційній системі. Запропоновано аналітичні співвідношення для обсчислення ймовірності символьної помилки в телекомунікаційній системі на основі М-позиційної амплітудної модуляції багатьох складових (М-АМБС) та інших різновидів амплітудно-фазової маніпуляції за довільної кількості та довільного розташування сигнальних точок сигнального сузір’я, а також при дії адитивного білого гаусового шуму в лінії зв’язку. За результатами здійснених досліджень виявлено, що запропоновані співвідношення дають змогу підвищити точність при обчисленні ймовірності символьної помилки при застосуванні М-АМБС та інших різновидів амплітудно-фазової маніпуляції порівняно з відомими співвідношеннями.
dc.description.abstractThe known analytical equations for calculating the symbol error rate (SER) in the M-ary telecommunication system are considered. The analytical equations for calculating SER in a telecommunication system based on M-ary amplitude modulation of many components (M-AMMC) and other varieties of amplitude-phase shift keying with arbitrary number and arbitrary location of signal points of the signal constellation, as well as under the action of additive white Gaussian noise in a communication line are proposed. According to the results of the research, it is found that the proposed equations allow us to increase the accuracy of calculating SER when using M-AMMC and other varieties of amplitude-phase shift keying compared to known analytical equations.
dc.format.extent137-149
dc.format.pages13
dc.identifier.citationHorbatyi I. V. Calculation of symbol error rate in a telecommunication system based on amplitude modulation of many components / I. V. Horbatyi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2021. — Vol 8. — No 2. — P. 137–149.
dc.identifier.citationenHorbatyi I. V. Calculation of symbol error rate in a telecommunication system based on amplitude modulation of many components / I. V. Horbatyi // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2021. — Vol 8. — No 2. — P. 137–149.
dc.identifier.doidoi.org/10.23939/mmc2021.02.137
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/60379
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 2 (8), 2021
dc.relation.references[1] Bobalo Yu. Ya., Horbatyi I. V., Kiselychnyk M. D., Medynsky I. P., Melen M. V. Semi-Markov reliability model of functioning of wireless telecommunication system with complex control system. Mathematical Modeling and Computing. 6 (2), 192–210 (2019).
dc.relation.references[2] Bobalo Y., Nedostup L., Kiselychnyk M., Melen M. Optimization of processes designed for ensuring the quality and reliability of electronics using cumulative models of defectiveness and total production expenses. Przeglad Elektrotechniczny. 92 (1), 155–158 (2016).
dc.relation.references[3] Bobalo Y., Seniv M., Symets I. Algorithms of automated formulation of the operability condition of complex technical systems. 2018 XIV-th International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). 14–17 (2018).
dc.relation.references[4] Bobalo Y., Seniv M., Yakovyna V., Symets I. Method of Reliability Block Diagram Visualization and Automated Construction of Technical System Operability Condition. Advances in Intelligent Systems and Computing III. 871, 599–610 (2019).
dc.relation.references[5] Seniv M., Mykuliak A., Senechko A. Recursive algorithm of traversing reliability block diagram for creation reliability and refuse logical expressions. 2016 XII International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). 199–201 (2016).
dc.relation.references[6] Toliupa S., Parkhomenko I., Shvedova H. Security and regulatory aspects of the critical infrastructure objects functioning and cyberpower level assesment. 2019 3rd International Conference on Advanced Information and Communications Technologies (AICT). 463–468 (2019).
dc.relation.references[7] Weiss E., Bykhovsky D., Arnon Sh. Symbol error rate model for communication using femtosecond pulses for space applications. IEEE Photonics Technology Letters. 28 (12), 1286–1289 (2016).
dc.relation.references[8] Yansheng Y., Hong S., Liufeng D., Guangchun F., Xiaomin L., Xiyan T. Influences of delay unit on bite error rate in the BDPSK phase comparing demodulation. 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet). 5016–5019 (2011).
dc.relation.references[9] Saiko V., Toliupa S., Nakonechnyi V., Dakov S. The method for reducing probability of incorrect data reception in radio channels of terahertz frequency range. 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET). 1043–1046 (2018).
dc.relation.references[10] Bondariev A., Maksymiv I. Method of improvement of quality indexes of detecting in cellular communication systems. Elektronika ir Elektrotechnika. 18 (10), 85–88 (2012).
dc.relation.references[11] Proakis J. Digital Communications. New York, McGraw-Hill (2001).
dc.relation.references[12] Sklar B. Digital Communications. Fundamentals and Applications. Upper Sadle River, New Jersey, Prentice Hall (2001).
dc.relation.references[13] Gorbatyy I. V. Optimization of signal-code constructions using the maximum efficiency criterion. Radioelectronics and Communications Systems. 56 (12), 560–567 (2013).
dc.relation.references[14] Ziuko A. G., Klovskii D. D., Nazarov M. V., Fink L. M. Teoriia peredachi signalov: uchebnik dlia vuzov. Moscow, Radio i sviaz (1986), (in Russian).
dc.relation.references[15] Zwillinger D., Kokoska S. CRC Standard Probability and Statistics Tables and Formulae. New York, CRC Press (2000).
dc.relation.references[16] Florescu I. Probability and Stochastic Processes. New Jersey, Wiley (2014).
dc.relation.references[17] Korzhik V. I., Fink L. M., Shchelkunov K. N. Raschet pomekhoustoichivosti sistem peredachi diskretnykh soobshchenii: spravochnik. Pod red. L. M. Finka. Moscow, Radio i sviaz (1981), (in Russian).
dc.relation.referencesen[1] Bobalo Yu. Ya., Horbatyi I. V., Kiselychnyk M. D., Medynsky I. P., Melen M. V. Semi-Markov reliability model of functioning of wireless telecommunication system with complex control system. Mathematical Modeling and Computing. 6 (2), 192–210 (2019).
dc.relation.referencesen[2] Bobalo Y., Nedostup L., Kiselychnyk M., Melen M. Optimization of processes designed for ensuring the quality and reliability of electronics using cumulative models of defectiveness and total production expenses. Przeglad Elektrotechniczny. 92 (1), 155–158 (2016).
dc.relation.referencesen[3] Bobalo Y., Seniv M., Symets I. Algorithms of automated formulation of the operability condition of complex technical systems. 2018 XIV-th International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). 14–17 (2018).
dc.relation.referencesen[4] Bobalo Y., Seniv M., Yakovyna V., Symets I. Method of Reliability Block Diagram Visualization and Automated Construction of Technical System Operability Condition. Advances in Intelligent Systems and Computing III. 871, 599–610 (2019).
dc.relation.referencesen[5] Seniv M., Mykuliak A., Senechko A. Recursive algorithm of traversing reliability block diagram for creation reliability and refuse logical expressions. 2016 XII International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH). 199–201 (2016).
dc.relation.referencesen[6] Toliupa S., Parkhomenko I., Shvedova H. Security and regulatory aspects of the critical infrastructure objects functioning and cyberpower level assesment. 2019 3rd International Conference on Advanced Information and Communications Technologies (AICT). 463–468 (2019).
dc.relation.referencesen[7] Weiss E., Bykhovsky D., Arnon Sh. Symbol error rate model for communication using femtosecond pulses for space applications. IEEE Photonics Technology Letters. 28 (12), 1286–1289 (2016).
dc.relation.referencesen[8] Yansheng Y., Hong S., Liufeng D., Guangchun F., Xiaomin L., Xiyan T. Influences of delay unit on bite error rate in the BDPSK phase comparing demodulation. 2011 International Conference on Consumer Electronics, Communications and Networks (CECNet). 5016–5019 (2011).
dc.relation.referencesen[9] Saiko V., Toliupa S., Nakonechnyi V., Dakov S. The method for reducing probability of incorrect data reception in radio channels of terahertz frequency range. 2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET). 1043–1046 (2018).
dc.relation.referencesen[10] Bondariev A., Maksymiv I. Method of improvement of quality indexes of detecting in cellular communication systems. Elektronika ir Elektrotechnika. 18 (10), 85–88 (2012).
dc.relation.referencesen[11] Proakis J. Digital Communications. New York, McGraw-Hill (2001).
dc.relation.referencesen[12] Sklar B. Digital Communications. Fundamentals and Applications. Upper Sadle River, New Jersey, Prentice Hall (2001).
dc.relation.referencesen[13] Gorbatyy I. V. Optimization of signal-code constructions using the maximum efficiency criterion. Radioelectronics and Communications Systems. 56 (12), 560–567 (2013).
dc.relation.referencesen[14] Ziuko A. G., Klovskii D. D., Nazarov M. V., Fink L. M. Teoriia peredachi signalov: uchebnik dlia vuzov. Moscow, Radio i sviaz (1986), (in Russian).
dc.relation.referencesen[15] Zwillinger D., Kokoska S. CRC Standard Probability and Statistics Tables and Formulae. New York, CRC Press (2000).
dc.relation.referencesen[16] Florescu I. Probability and Stochastic Processes. New Jersey, Wiley (2014).
dc.relation.referencesen[17] Korzhik V. I., Fink L. M., Shchelkunov K. N. Raschet pomekhoustoichivosti sistem peredachi diskretnykh soobshchenii: spravochnik. Pod red. L. M. Finka. Moscow, Radio i sviaz (1981), (in Russian).
dc.rights.holder© Національний університет “Львівська політехніка”, 2021
dc.subjectМ-ва телекомунікаційна система
dc.subjectімовірність символьної помилки
dc.subjectамплітудна модуляція багатьох складових
dc.subjectM-ary telecommunication system
dc.subjectsymbol error rate
dc.subjectamplitude modulation of many components
dc.titleCalculation of symbol error rate in a telecommunication system based on amplitude modulation of many components
dc.title.alternativeОбчислення ймовірності символьної помилки в телекомунікаційній системі на основі амплітудної модуляції багатьох складових
dc.typeArticle

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Mathematical Modeling And Computing. – 2021. – Vol. 8, No. 2