Abstract
In this article, we present the result of the research concerning the development of a method for analytical calculation of the dynamic characteristics of digital adaptive filters with parallel-serial weight summation of signals for one of the variants of a multi-stage adaptive interference compensator with block orthogonalization of compensation channel signals. The article also presents the results of a research of the degree of coincidence of the results of theoretical calculation and statistical modeling of the adaptive compensator (filter) for interference suppression. Each stage of the adaptive filter with parallel-sequential weight summation consists of modules, which are a scheme of a single-channel adaptive compensator. The complex envelope of the signal from the output of the digital antenna array (DAA) is goes to the main channel of the adaptive filter. Compensation channels are formed on the basis of the antenna elements of the main channel. Equidistant antenna array with a distance between the array elements equal to 0.5 wavelength is selected as the DAA. The method consists in obtaining recurrent relations, according to which the transmission coefficients of the modules placed in the first stage (row) of the structural scheme of the adaptive filter with parallel-sequential weight summation of signals are first calculated. Then, the transmission coefficients of the modules placed in the second stage (row) of the structural scheme are calculated, etc. The calculated values of the transmission coefficients of all modules of the structural scheme of the adaptive filter with parallel-sequential weight summation are used to calculate the interference power at the output of the filter, depending on the parameters of the interference correlation matrix. Also, statistical simulation modeling and theoretical calculation of dynamic characteristics of an adaptive filter with parallel-sequential weight summation of signals was performed. The results of modeling and analytical calculation of interference power at the output of the adaptive filter with parallel-sequential weight summation show a satisfactory coincidence of dynamic characteristics under the action of two, three and four sources of interference on a 5-channel adaptive filter. The modeling can be reproduced many times for different interference situations. The drawback of this method is that it is developed for a single variant of the known scheme of a multistage adaptive noise compensator with block orthogonalization of signals. The use of the method will allow at the design stage of the structure and characteristics of adaptive filters with parallel-sequential weight summation to choose its parameters without the use of statistical modeling.
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References
Babichev, S., Škvor, J., Fišer, J., Lytvynenko, V.: Technology of gene expression profiles filtering based on wavelet analysis. Int. J. Intell. Syst. Appl. 16(4), 1–7 (2018). https://doi.org/10.5815/ijisa.2018.04.01
Babichev, S., Lytvynenko, V., Osypenko, V.: Implementation of the objective clustering inductive technology based on dbscan clustering algorithm. In: Proceedings of the 12th International Scientific and Technical Conference on Computer Sciences and Info rmation Technologies, CSIT 2017 pp. 479–484 (2017). https://doi.org/10.1109/STC-CSIT.2017.8098832
Babichev, S., Taif, M., Lytvynenko, V.: Inductive model of data clustering based on the agglomerative hierarchical algorithm. In: Proceedings of the 2016 IEEE 1st International Conference on Data Stream Mining and Processing, DSMP 2016, pp. 19–22 (2016). https://doi.org/10.1109/DSMP.2016.7583499
Barlow, J.L.: Block modified gram-schmidt algorithms and their analysis. SIAM J. Matrix Anal. Appl. 40, 1257–1290 (2019). https://doi.org/10.1137/18M1197400
Bondarenko, B., Semibalamut, K.: Mochnost shumov gradient v tsifrovykh kompensatorakh pomekh. Radioelectronics Commun. Syst. 41(11), 62–66 (1998)
Bondarenko, B., Semibalamut, K.: Organizatsiia obchyslennia u tsifrovomu adaptyvnomu filtri. Zbirnyk naukovykh prats KVIUZ 2, 3–13 (1998)
Haykin, S.: Adaptive Filter Theory, 5th edn. Pearson, Boston (2014)
Kuz’min, S.: Tsifrovaya radiolokatsiya. Digital radar, KViTS (2000)
Lekhovytskiy, D.I.: Adaptive lattice filters for systems of space-time processing of non-stationary gaussian processes. Radioelectron. Commun. Syst. 61(11), 477–514 (2018). https://doi.org/10.3103/S0735272718110018
Lekhovytskiy, D., Rachkov, D., Semeniaka, A., Ryabukha, V., Atamanskiy, D.: Adaptive lattice filters. part i. Theory of lattice structures. Appl. Radio Electron. 10(4), 380–404 (2011)
Lekhovytskiy, D., et al.: Bystrodeystvie algoritmov adaptivnoy prostranstvenno-vremennoy obrabotki signalov na fone pomekh. In: Materiali mezhdunarodnoi nauchno-prakticheskoi konferencii “Sovremennye informatsionnye i elektronnye tekhnjlogii”, pp. 222–225 (2013). http://tkea.com.ua/siet/archive/2013-t1/222.pdf
Monzingo, R.A., Haupt, R.L., Miller, T.W.: Introduction to Adaptive Arrays, 2nd edn. Scitech Pub. Inc. (2011)
Piza, D., Romanenko, S., Moroz, G., Semenov, D.: Estimation of losses in jammers compensation at the training sample formation by the frequency method. Inf. Telecommun. Sci. 9(2), 5–9 (2018). https://doi.org/10.20535/2411-2976.22018.5-9
Plyushch, O., Rybydailo, A.: Adaptive antenna array adaptation algorithm that does not require reference signal presence. Collection of the scientific papers of the Centre for Military and Strategic Studies of the National Defence University 2(66), 108–114 (2019). https://doi.org/10.33099/2304-2745/2019-2-66/108-114
Riabukha, V., Semeniaka, A., Katiushyn, Y.: Selection of the number of compensation channels and location of receivers with non-identical amplitude-frequency and phase-frequency responses in adaptive antenna array under noise interference. In: Proceedings of the IEEE Ukrainian Microwave Week (UkrMW). pp. 7–10 (2020). https://doi.org/10.1109/UkrMW49653.2020.9252625
Riabukha, V., Semeniaka, A., Katiushyn, Y., Zarytskyi, V., Holovin, O.: Digital adaptive system of radar protection against masking clutter on the basis of adaptive lattice filter. Weapons Mil. Equipment 4(24), 32–40 (2019)
Safarian, C., Ogunfunmi, T., Kozacky, W.J., Mohanty, B.: Fpga implementation of lms-based fir adaptive filter for real time digital signal processing applications. In: Proceedings of the IEEE International Conference on Digital Signal Processing (DSP), pp. 1251–1255 (2015). https://doi.org/10.1109/ICDSP.2015.7252081
Semibalamut, K., Khamula, S., Zhuk, S., Litvintsev, S.: Determination of radiation pattern for linear antenna array with multistage adaptive compensator of interferences. Bulletin of NTUU KPI, pp. 17–24 (2018). https://doi.org/10.20535/RADAP.2018.74.17-24
Shengheng, L., Yahui, M., Yongming, H.: Sea clutter cancellation for passive radar sensor exploiting multi-channel adaptive filters. IEEE Sens. J. 19(3), 982–995 (2019). https://doi.org/10.1109/JSEN.2018.2879879
Skachkov, V., Efimchikov, A., Pavlovich, V., Kovalichin, S.: Otsenka vliyaniya dinamicheskikh parametrov gradientnykh algoritmov adaptatsii na kachestvo podavleniya shumovikh izlucheniy. Zbirnyk naukovykh prats Odesskoi derzhavnoi akademii tekhnichnogo reguliuvannia ta yakosti 1(2), 81–87 (2013) http://nbuv.gov.ua/j-pdf/zbodatr_2013_1_15.pdf
Slyusar, V.: Origins of the digital antenna array theory. In: Proceedings of the XI International Conference on Antenna Theory and Techniques, ICATT 2017. pp. 199–201. Igor Sikorsky Kyiv Polytechnic Institute (2017). https://doi.org/10.1109/ICATT.2017.7972621
Slyusar, V.: Kluchevye napravleniya razvitiya radiolokatsionnoy tekhniki. In: Zbirnyk materialiv IX Vseukrainskoi naukovo-praktychnoi konferentsii “‘Aktualni pytannia zabezpechennia sluzhbovoboivoi diialnosti viiskovykh formuvan ta pravookhoronnykh organiv”, pp. 291–294 (2020). https://doi.org/10.13140/RG.2.2.21329.97120
Zhua, Z., Gao, X., Cao, L., Pan, D., Cai, Y., Zhu, Y.: Analysis on the adaptive filter based on LMS algorithm. Optik 127, 4698–4704 (2016). https://doi.org/10.1016/j.ijleo.2016.02.005
Zhuk, S.Y., Semibalamut, K.M., Litvintsev, S.N.: Multistage adaptive compensation of active noise interferences using block orthogonalization of signals of compensation channels. Radioelectron. Commun. Syst. 60(6), 243–257 (2017). https://doi.org/10.3103/S0735272717060012
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Semibalamut, K., Moldovan, V., Lysenko, S., Topolnytskyi, M., Zhuk, S. (2022). A Method of Analytical Calculation of Dynamic Characteristics of Digital Adaptive Filters with Parallel-Sequential Weight Summation. In: Babichev, S., Lytvynenko, V. (eds) Lecture Notes in Computational Intelligence and Decision Making. ISDMCI 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-030-82014-5_6
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