pimiПриборы и методы измеренийDevices and Methods of Measurements2220-95062414-0473BNTU10.21122/2220-9506-2022-13-2-139-146pimi-772Research ArticleМетоды измерений, контроля, диагностикиMethods of measurements, monitoring, diagnosticsВероятность ошибочной регистрации данных в однофотонном канале связи стирающего типа с приёмником на основе счётчика фотоновProbability of Erroneous Data Registration in a Single Photon Erasure-Type Communication Channel with a Receiver Based on a Photon CounterТимофеевА. М.TimofeevA. M.

Адрес для переписки: Тимофеев А.М. – Белорусский государственный университет информатики и радиоэлектроники, ул. П. Бровки, 6, г. Минск 220013, Беларусь e-mail: tamvks@mail.ru

Address for correspondence: Timofeev A.M. – Belarusian State University of Informatics and Radioelectronics, Brovki str., 6, Minsk, 220013, Belarus e-mail: tamvks@mail.ru

tamvks@mail.ruБелорусский государственный университет информатики и радиоэлектроникиБеларусьBelarusian State University of Informatics and RadioelectronicsBelarus202206072022132139146Copyright © Тимофеев А.М., 20222022Тимофеев А.М.Timofeev A.M.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://pimi.bntu.by/jour/article/view/772

При измерении маломощных оптических сигналов, передаваемых в каналах однофотонной связи, приёмные модули должны обеспечивать наибольшую достоверность принятых данных.

В этой связи целесообразно использовать счётчики фотонов, которые являются высокочувствительными, однако характеризуются ошибками регистрации данных. Поэтому цель работы– исследовать влияние интенсивности регистрируемого оптического излучения J0 при передаче двоичных символов «0» на вероятность регистрации на выходе канала связи символов «1» при наличии символов «0» на его входе P(1/0).

На основе методики уменьшения потерь информации определены статистические распределения смеси числа темновых и сигнальных импульсов на выходе счётчика фотонов при регистрации двоичных символов «0» Pst0 (N ), при которых вероятность P(1/0) минимальная.

Определены вероятности P(1/0) для канала связи, содержащего в качестве приёмного модуля счётчик фотонов при различных значениях напряжения питания лавинного фотоприёмника Uпит и интенсивности оптического сигнала, используемого для передачи двоичных символов «0» J0 .

Экспериментальные результаты показали, что с увеличением интенсивности оптического сигнала J0 зависимости P(1/0) от J0 вначале практически не изменяются и сохраняют постоянную величину. Однако при дальнейшем увеличении J0 имеет место линейно возрастающий характер зависимостей P(1/0) от J0 . Причём при прочих равных параметрах приёма такой характер зависимостей P(1/0) от J0 начинает проявляться при бо́льших интенсивностях оптического сигнала J0 с увеличением напряжения питания лавинного фотоприёмника.

When measuring low-power optical signals, it is necessary to ensure the highest reliability of the received data, which is especially important for single-photon communication channels. This determines the expediency of using photon counters as receiving modules for such channels. They are highly sensitive, but are characterized by data recording errors. Therefore, the purpose of this work was to investigate the influence of the intensity of the registered optical radiation J0 during the transmission of binary symbols “0” on the probability of registering symbols “1” at the output of the communication channel in the presence of symbols “0” at its input P(1/0).

The statistical distributions of the mixture of the number of dark and signal pulses at the output of the photon counter during the registration of binary symbols “0” Pst0 (N ) were determined. To do this, a technique was used to reduce information loss. As a result, the minimum probability P(1/0) was reached.

The probabilities P(1/0) were calculated for a communication channel containing a photon counter as a receiving module. This calculation was carried out at different values of the supply voltage of the avalanche photodetector U and the intensity of the optical signal used to transmit the binary symbols “0” J0 .

The experimental results showed that with increasing optical signal intensity J0 , the dependences P(1/0) on J0 initially remain almost unchanged and retain a constant value. However, with a further increase in J0 , there is a linearly increasing character of the dependences P(1/0) on J0 . Moreover, with other equal reception parameters, such a character of the dependences P(1/0) on J0 begins to manifest itself at higher intensities of the optical signal J0 with an increase in the supply voltage of the avalanche photodetector.

счётчик фотоновканал однофотонной связивероятность ошибочной регистрации двоичных символовphoton countersingle photon communication channelprobability of erroneous registration of binary symbolsReferencesYiannopoulos K., Sagias N.C., Boucouvalas A.C. On the photon counting error probability and its application in optical wireless communications. Physical Communication, 2019, vol. 36, pp. 100756–100764. DOI: 10.1016/j.phycom.2019.100756Yiannopoulos K., Sagias N.C., Boucouvalas A.C. On the photon counting error probability and its application in optical wireless communications. Physical Communication, 2019, vol. 36, pp. 100756–100764. DOI: 10.1016/j.phycom.2019.100756Hu S., Mi L., Zhou T., Chen W. 35.88 attenuation lengths and 3.32 bits/photon underwater optical wireless communication based on photon-counting receiver with 256-PPM. Optics Express, 2019, vol. 26, no. 17, pp. 21685–21699. DOI: 10.1364/OE.26.021685Hu S., Mi L., Zhou T., Chen W. 35.88 attenuation lengths and 3.32 bits/photon underwater optical wireless communication based on photon-counting receiver with 256-PPM. Optics Express, 2019, vol. 26, no. 17, pp. 21685–21699. DOI: 10.1364/OE.26.021685Bourennane M., Karlsson A., Pena J.C., Mathés M. Single-photon counters in the telecom wavelength region of 1550 nm for quantum information processing. Journal of Modern Optics, 2001, vol. 48, no. 13, pp. 1983–1995. DOI: 10.1080/09500340110075131Bourennane M., Karlsson A., Pena J.C., Mathés M. Single-photon counters in the telecom wavelength region of 1550 nm for quantum information processing. Journal of Modern Optics, 2001, vol. 48, no. 13, pp. 1983–1995. DOI: 10.1080/09500340110075131Timofeev A.M. [The effect of single photon transmission time on the probability of erroneous registration of asynchronous data of quantum cryptographic communication channels]. Vestnik TGTU [Transactions TSTU], 2019, vol. 25, no. 1, pp. 36–46 (in Russian). DOI: 10.17277/vestnik.2019.01.pp.036-046Timofeev A.M. [The effect of single photon transmission time on the probability of erroneous registration of asynchronous data of quantum cryptographic communication channels]. Vestnik TGTU [Transactions TSTU], 2019, vol. 25, no. 1, pp. 36–46 (in Russian). DOI: 10.17277/vestnik.2019.01.pp.036-046Scheglov A.Yu. Analiz i proektirovanie zaschityi informatsionnyih sistem. Kontrol dostupa k kompyuternyim resursam: metodyi, modeli, tehnicheskie resheniya [Analysis and design of information systems protection. Control of access to computer resources: methods, models, technical solutions]. St. Petersburg, Professional literature Publ., 2017, 416 p.Scheglov A.Yu. Analiz i proektirovanie zaschityi informatsionnyih sistem. Kontrol dostupa k kompyuternyim resursam: metodyi, modeli, tehnicheskie resheniya [Analysis and design of information systems protection. Control of access to computer resources: methods, models, technical solutions]. St. Petersburg, Professional literature Publ., 2017, 416 p.Vacca J.R. Managing Information Security, 2nd ed. Elsevier Inc., Waltham, 2014, 372 p. DOI: 10.1016/C2011-0-08782-3Vacca J.R. Managing Information Security, 2nd ed. Elsevier Inc., Waltham, 2014, 372 p. DOI: 10.1016/C2011-0-08782-3Dmitriev S.A., Slepov N.N. Volokonno-opticheskaya tehnika: sovremennoe sostoyanie i novyie perspektivyi [Fiber optic technology: current state and new perspectives], 3rd ed. Moscow, Technosphere Publ., 2010, 608 p.Dmitriev S.A., Slepov N.N. Volokonno-opticheskaya tehnika: sovremennoe sostoyanie i novyie perspektivyi [Fiber optic technology: current state and new perspectives], 3rd ed. Moscow, Technosphere Publ., 2010, 608 p.Cova S.D., Ghioni M. Single-photon counting detectors. IEEE Photonics Journal, 2011, vol. 3, no. 2, pp. 274–277. DOI: 10.1109/JPHOT.2011.2130518Cova S.D., Ghioni M. Single-photon counting detectors. IEEE Photonics Journal, 2011, vol. 3, no. 2, pp. 274–277. DOI: 10.1109/JPHOT.2011.2130518Aull B. Geiger-mode avalanche photodiode arrays integrated to alldigital CMOS circuits. Sensors, 2016, vol. 16, pp. 495–508. DOI: 10.3390/s16040495Aull B. Geiger-mode avalanche photodiode arrays integrated to alldigital CMOS circuits. Sensors, 2016, vol. 16, pp. 495–508. DOI: 10.3390/s16040495Jani P., Vamos L., Nemes T. Timing resolution (FWHM) of some photon counting detectors and electronic circuitry. Meas. Sci. Technol., 2007, vol. 18, no. 1, pp. 155–160. DOI: 10.1088/0957-0233/18/1/019Jani P., Vamos L., Nemes T. Timing resolution (FWHM) of some photon counting detectors and electronic circuitry. Meas. Sci. Technol., 2007, vol. 18, no. 1, pp. 155–160. DOI: 10.1088/0957-0233/18/1/019Zadeh I.E., Los J.W.N., Gourgues R.B.M., Steinmetz V., Bulgarini G., Dobrovolskiy S.M., Zwillerb V., Dorenbos S.N. Single-photon detectors combining high efficiency, high detection rates, and ultra-high timing resolution. APL Photonics, 2017, vol. 2, pp. 111301-1– 111301-7. DOI: 10.1063/1.5000001Zadeh I.E., Los J.W.N., Gourgues R.B.M., Steinmetz V., Bulgarini G., Dobrovolskiy S.M., Zwillerb V., Dorenbos S.N. Single-photon detectors combining high efficiency, high detection rates, and ultra-high timing resolution. APL Photonics, 2017, vol. 2, pp. 111301-1– 111301-7. DOI: 10.1063/1.5000001Privitera S., Tudisco S., Lanzano L., Musumeci F., Pluchino A., Scordino A., Campisi A., Cosentino L., Finocchiaro P., Condorelli G., Mazzillo M., Lombardo S., Sciacca E. Single photon avalanche diodes: towards the large bidimensional arrays. Sensors, 2008, vol. 8, pp. 4636–4655. DOI: 10.3390/s8084636Privitera S., Tudisco S., Lanzano L., Musumeci F., Pluchino A., Scordino A., Campisi A., Cosentino L., Finocchiaro P., Condorelli G., Mazzillo M., Lombardo S., Sciacca E. Single photon avalanche diodes: towards the large bidimensional arrays. Sensors, 2008, vol. 8, pp. 4636–4655. DOI: 10.3390/s8084636Campajola M., Capua F.D., Fiore D., Sarnelli E., Aloisio A. Proton induced dark count rate degradation in 150-nm CMOS single-photon avalanche diodes. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2019, vol. 947, pp. 162722–162728. DOI: 10.1016/j.nima.2019.162722Campajola M., Capua F.D., Fiore D., Sarnelli E., Aloisio A. Proton induced dark count rate degradation in 150-nm CMOS single-photon avalanche diodes. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2019, vol. 947, pp. 162722–162728. DOI: 10.1016/j.nima.2019.162722Stipčević M., Skenderović H., Gracin D. Characterization of a novel avalanche photodiode for single photon detection in VIS-NIR range. Optics Express, 2010, vol. 18, pp. 17448–17459. DOI: 10.1364/OE.18.017448Stipčević M., Skenderović H., Gracin D. Characterization of a novel avalanche photodiode for single photon detection in VIS-NIR range. Optics Express, 2010, vol. 18, pp. 17448–17459. DOI: 10.1364/OE.18.017448Nuriyev S., Ahmadov F., Sadygov Z., Akberov R., Ahmadov G., Abbasov I. Performance of a new generation of micropixel avalanche photodiodes with high pixel density and high photon detection efficiency. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2018, vol. 912, pp. 320–322. DOI: 10.1016/j.nima.2017.12.006Nuriyev S., Ahmadov F., Sadygov Z., Akberov R., Ahmadov G., Abbasov I. Performance of a new generation of micropixel avalanche photodiodes with high pixel density and high photon detection efficiency. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2018, vol. 912, pp. 320–322. DOI: 10.1016/j.nima.2017.12.006Stucki D., Ribordy G., Stefanov A., Zbinden H., Rarity J.G., Wall T. Photon counting for quantum key distribution with Peltier cooled InGaAs/InP APDs. Journal of Modern Optics, 2001, vol. 48, no. 13, pp. 1967–1981. DOI: 10.1080/09500340108240900Stucki D., Ribordy G., Stefanov A., Zbinden H., Rarity J.G., Wall T. Photon counting for quantum key distribution with Peltier cooled InGaAs/InP APDs. Journal of Modern Optics, 2001, vol. 48, no. 13, pp. 1967–1981. DOI: 10.1080/09500340108240900Castelletto S.A., Degiovanni I.P., Schettini V., Migdall A.L. Reduced deadtime and higher rate photoncounting detection using a multiplexed detector array. Journal of Modern Optics, 2007, vol. 54, pp. 337–352. DOI: 10.1080/09500340600779579Castelletto S.A., Degiovanni I.P., Schettini V., Migdall A.L. Reduced deadtime and higher rate photoncounting detection using a multiplexed detector array. Journal of Modern Optics, 2007, vol. 54, pp. 337–352. DOI: 10.1080/09500340600779579Prochazka I., Blazej J., Kodet J. Single photon detector package with subpicosecond limiting precision and stability. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2018, vol. 912, pp. 213–216. DOI: 10.1016/j.nima.2017.11.044Prochazka I., Blazej J., Kodet J. Single photon detector package with subpicosecond limiting precision and stability. Nuclear Instruments and Methods in Physics Research. Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2018, vol. 912, pp. 213–216. DOI: 10.1016/j.nima.2017.11.044Kalachev A.A. [Components of long-distance quantum communication. Part 1]. Fotonika [Photonics], 2017, no. 1, pp. 88–98 (in Russian). DOI: 10.22184/1993-7296.2017.61.1.88.98Kalachev A.A. [Components of long-distance quantum communication. Part 1]. Fotonika [Photonics], 2017, no. 1, pp. 88–98 (in Russian). DOI: 10.22184/1993-7296.2017.61.1.88.98Kalachev A.A. [Components of long-distance quantum communication. Part 2]. Fotonika [Photonics], 2017, no. 2, pp. 80–88 (in Russian). DOI: 10.22184/1993-7296.2017.62.2.80.88Kalachev A.A. [Components of long-distance quantum communication. Part 2]. Fotonika [Photonics], 2017, no. 2, pp. 80–88 (in Russian). DOI: 10.22184/1993-7296.2017.62.2.80.88Kilin S.Ya. Kvantovaya kriptografiya: idei i praktika [Quantum cryptography: ideas and practices]. Minsk, Belarus, Sci. Publ., 2007, 391 p.Kilin S.Ya. Kvantovaya kriptografiya: idei i praktika [Quantum cryptography: ideas and practices]. Minsk, Belarus, Sci. Publ., 2007, 391 p.Zhang J., Itzler M.A., Zbinden H., Pan J.-W. Advances in InGaAs/InP single-photon detector systems for quantum communication. Light: Science & Applications, 2015, vol. 4, pp. 1–13. DOI: 10.1038/lsa.2015.59Zhang J., Itzler M.A., Zbinden H., Pan J.-W. Advances in InGaAs/InP single-photon detector systems for quantum communication. Light: Science & Applications, 2015, vol. 4, pp. 1–13. DOI: 10.1038/lsa.2015.59Hong Z., Yan Q., Li Z., Zhan T., Wang Y. Photon-counting underwater optical wireless communication for reliable video transmission using joint source-channel coding based on distributed compressive sensing. Sensors, 2019, vol. 19, no. 5, pp. 1042–1054. DOI: 10.3390/s19051042Hong Z., Yan Q., Li Z., Zhan T., Wang Y. Photon-counting underwater optical wireless communication for reliable video transmission using joint source-channel coding based on distributed compressive sensing. Sensors, 2019, vol. 19, no. 5, pp. 1042–1054. DOI: 10.3390/s19051042Gulakov I.R., Zenevich A.O. Fotopriemniki kvantovyih sistem: monografiya [Photodetectors of quantum systems: monograph]. Minsk, EI HSCC Publ., 2012, 276 p.Gulakov I.R., Zenevich A.O. Fotopriemniki kvantovyih sistem: monografiya [Photodetectors of quantum systems: monograph]. Minsk, EI HSCC Publ., 2012, 276 p.Timofeev A.M. [Information transfer rate of a single photon communication channel with a receiver module based on a photon counter with a dead time of a prolonged type]. Trudy BGTU. Ser. 3, Fiziko-matematicheskie nauki i informatika [Proceedings of BSTU. Iss. 3. Physics and mathematics. Informatics], 2019, no. 2, pp. 79–86 (in Russian).Timofeev A.M. [Information transfer rate of a single photon communication channel with a receiver module based on a photon counter with a dead time of a prolonged type]. Trudy BGTU. Ser. 3, Fiziko-matematicheskie nauki i informatika [Proceedings of BSTU. Iss. 3. Physics and mathematics. Informatics], 2019, no. 2, pp. 79–86 (in Russian).Timofeev A.M. [Estimation of the photons counter lasting dead time influence on the probability of erroneous data registration of quantum-cryptographic communication channels]. Vestnik svyazi [Communication bulletin], 2018, no. 1, pp. 56–62 (in Russian).Timofeev A.M. [Estimation of the photons counter lasting dead time influence on the probability of erroneous data registration of quantum-cryptographic communication channels]. Vestnik svyazi [Communication bulletin], 2018, no. 1, pp. 56–62 (in Russian).Timofeev A.M. [Assessment of the Influence of Intensity of Optical Signal on the Probability of Erroneous Data Registration in a Single-Photon Communication Channel]. Informatika [Informatics], 2021, vol. 18, no. 2, pp. 72–82 (in Russian). DOI: 10.37661/1816-0301-2021-18-2-72-82Timofeev A.M. [Assessment of the Influence of Intensity of Optical Signal on the Probability of Erroneous Data Registration in a Single-Photon Communication Channel]. Informatika [Informatics], 2021, vol. 18, no. 2, pp. 72–82 (in Russian). DOI: 10.37661/1816-0301-2021-18-2-72-82Bikkenin R.R., Chesnokov M.N. Teoriya elektricheskoy svyazi [The theory of electrical communication]. Moscow, Publ. Cent “Academy”, 2010, 336 p.Bikkenin R.R., Chesnokov M.N. Teoriya elektricheskoy svyazi [The theory of electrical communication]. Moscow, Publ. Cent “Academy”, 2010, 336 p.Gulakov I.R., Kholondyrev S.V. Metod scheta fotonov v optiko-fizicheskih izmereniyah [Photon counting method in the optical and physical measurements]. Minsk, University Publ., 1989, 256 p.Gulakov I.R., Kholondyrev S.V. Metod scheta fotonov v optiko-fizicheskih izmereniyah [Photon counting method in the optical and physical measurements]. Minsk, University Publ., 1989, 256 p.

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