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-mail:polyaninm@mail.ru
Calculating the value of the RÑ of the sample matrix is one of the key issues for ensuring robustness of the optimal beamformer of adaptive phased array in the equipment. The article discusses the existing methods for estimating the optimal value of the RC, suitable for a blind beamformer, which have different efficiency and complexity of hardware implementation. TSVD-based methods are computationally intensive due to the need SVD transformations. Of interest are direct algorithms based on Tikhonov's regularization, which are not based on the statistical characteristics of the input signals. Blind LCMP beamformer was simulated under conditions of poorly conditioned SCM. Comparison of regularization methods depending on different signal-noise situations and the number of samples are shown in the graphs. The OAS and RBLW methods have lower computational complexity compared to LW, due to the lack of calculation of the average estimate of the SCM error. The results of modeling a narrow-band LCMP beamformer using linear shrinkage algorithms are presented.
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V.A. Vershinin Russia, Rybinsk, e-mail: vershinin-vladimir@yandex.ru Keywords:
The use of partially overlapping signals based on the proposed signals in parallel transmission in comparison with non-overlapping sinusoidal orthogonal signals allows us to obtain better specific band costs, increase the rate of decline of the side lobes of the spectral power density (reduce out-of-band radiation). At the same time, the noise immunity practically does not deteriorate. The purpose of the work is to consider the formation of the transmitted signal and the processing of the received signal using a complex envelope. At the same time, the main part of the algorithm for forming and processing is carried out in the low-frequency region. An expression for the complex envelope of the transmitted signal is obtained, and an algorithm for generating the transmitted signal is given. An algorithm for obtaining and processing the complex envelope of the received signal is described. An analytical expression is obtained for the error probability when processing the received signal using a complex envelope. Modeling of signal generation and processing in the Matlab environment is carried out. The simulation results confirm the obtained expression for determining the error probability.
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Steganography hides the very fact of information transmission. The transmitted information is masked by transmission as part of other information. A simple tabular encoding method using the binary structure of the digital image signal is proposed. The carrier of hidden information is the number of units in the signal code. Fast decoding is performed by sorting the received binary signal at the rate of its arrival and can be used for rapid information exchange. The procedures in question do not require complex algorithms to be implemented and can be implemented with an FPGA. Its experimental verification was performed. The described technology is protected by a Russian patent.
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The problem of optimizing the weight vector of RF is solved by the method of nonlinear programming. For the convergence of the solution to the unimodal extremum, it is proposed to introduce restrictions on the form of the RF frequency response, setting it in the form of equidistant frequency samples and assuming the phase characteristic to be linear. The amplitude-frequency characteristic outside the rejection band (non-transmission) to be monotonic, taking into account its sym-metry in the range of unambiguity. The inverse discrete Fourier transform of the frequency samples determines the filter weights. In the cascade form of the RF implementation, it is proposed to optimize the weight coefficients of individual links directly. The corresponding iterative optimization procedure is given. The results of the optimization of the RF on by the energy and probabilistic criteria are compared. Significant gains in the signal-to-noise threshold ratio were found when optimizing the RF parameters of high orders according to the probabilistic criterion in comparison with the energy criterion. The principles of RF adaptation under a priori uncertainty of clutter parameters are proposed and the corresponding block diagram of adaptive RF is presented. The considered method of optimizing two or more RF parameters of high orders according to the probabilistic criterion opens up new opportunities in improving the efficiency of detecting signals of moving targets against the background of clutter, providing significant gains in comparison with similar results of optimizing the RF according to the energy criterion. 2. Richards M.A., Scheer J.A., Holm W.A. (Eds.). Principles of Modern Radar: Basic Principles. New York: SciTech Publishing, IET, Edison. 2010. – 924 p. 3. Melvin W. L., Scheer J.A. (Eds.). Principles of Modern Radar: Advanced Techniques. New York: SciTech Publishing, IET, Edison, 2013. – 846 p. 4. Radar Handbook / Ed. by M.I. Skolnik. 3rd ed. McGraw–Hill, 2008. 1352 p. 5. Popov D.I. Adaptive notch filter with complex weight // Vestnik Kontserna PVO «Almaz – Antej». 2015. no 2 (14). pp. 21-26. (in Russian). 6. Popov D.I. Autocompensation of the Doppler phase of clutter // Cifrovaja obrabotka signalov. 2009. no 2. pp. 30–33. (in Russian). 7. Popov D.I. Adaptive suppression of clutter // Cifrovaja obrabotka signalov. 2014. no. 4. pp. 32-37. (in Russian). 8. Popov D.I. Adaptivnije regektornjie filtrij kaskadnogo tipa // Cifrovaya obrabotka signalov. 2016. no. 2. pp. 53-56. (in Russian). 9. Popov D.I. Adaptive notch filter with real weights // Cifrovaya obrabotka signalov. 2017. no. 1. pp. 22-26. (in Russian). 10. Popov D.I. Optimizacja nerekursivnjih regektornjie filtrov s chastichnoj adaptaciej // Cifrovaya obrabotka signalov. 2018. no. 1. pp. 28-32. (in Russian). 11. Rabiner L., Gold B. Theory and application of digital signal processing. - Moscow: Mir, 1978. - 848 p. (in Russian). 12. Himmelblau D. Applied nonlinear programming. - Moscow: Mir, 1975 – 536 p. (in Russian).
2. Bartenev V. G. Radar reflections from the clear sky compel to improve the parameters of the radar / / Modern electronics. 2014. No. 7, C. 18-20. 3. Bartenev V. G. Application of the Wishart distribution for the analysis of the effectiveness of adaptive systems of SDTS / / Radio Engineering and Electronics. 1981. T. XXVI, No. 2, C. 356-361. 4. Bartenev V. G. Method of classification and blanking of discrete interference. Patent No. 2710894 on application No. 2018134712 registered in the State Register of the Russian Federation 14.01.2020. 5. Bartenev V. G. On the use of three signal signs for classification and blanking of discrete interfering reflections. 2020. No. 4. pp. 54-57. 6. Bartenev V. G. Model-oriented design of programmable radio engineering devices. Practical course// Hotline-Telecom, Moscow, 2019, C. 48-64. |