Aerospace Technic and Technology

The article deals with the technology of estimating the frequency of harmonic components in the presence of additive normal interferences for solving applied problems of spectral analysis. Objective: to develop a methodology for the synthesis of algorithms for determining the frequency of a complex harmonic signal in discrete sections of the process, this is observed when using data segmentation. Objective: to develop the optimal technology for determining the frequency of the hormonal component of the process, provided by a finite number of discrete compartments, according to model representations and requirements that meet the problems of the current state of spectral analysis practice. These results were obtained. The problem of estimating the harmonic frequency from segmented data in the presence of additive Gaussian interference in observations based on the method of maximum likelihood is solved. The processing algorithm and the consequences of digital modeling of the synthesized evaluation technology for a given number of discrete process samples are given. The analysis of both the practical capacity of the technology for determining the assessment and certain qualitative indicators of assessment is performed. Conclusions. The scientific novelty of the obtained results is as follows: further development as a method for solving problems of estimating the frequency of the harmonic signal from a few sample values of the process under conditions of additive normal interference and methods for optimizing the structure of digital processing of observations in data segmentation. The synthesized technology uses one sample of observations to determine the estimates, which ensure the efficiency of information processing in a simple software implementation. The use of segmentation in the technological process of digital processing of observations allows obtaining estimates, the quality of which corresponds to the indicators of maximum likelihood. For unambiguous assessment, there is a need to eliminate ambiguity. Under these conditions, the technology with a given number of samples can significantly solve the range of signal-to-noise ratios at which can be obtained unbiased estimates.

segmented data; maximum plausibility method; spectral analysis; frequency estimation

Marple Jr., S. L. Cifrovoj spektral'nyj analiz i ego prilozhenija [Digital spectral analysis and its applications]. Moscow, “Mir” Pub., 1990. 584 p.

Vasilishin, V. I. Povyshenie jeffektivnosti spektral'nogo analiza metodom ESPRIT s ispol'zlvaniem tehnologii surogatnyh dannyh [Increasing the efficiency of spectral analysis by the ESPRIT method using surrogate data technology]. Prikladnaja radiojelektronika –Applied radioelectronics, 2013, vol. 12, no. 3, pp. 400-407.

Vasilishin, V. I. Predvaritel'naja obrabotka signalov s ispol'zovaniem metoda SSA v zadachi spektral'nogo analiza [Increasing the efficiency of spectral analysis by the ESPRIT method using surrogate data technology]. Prikladnaja radiojelektronika – Applied radioelectronics, 2013, vol. 12, no. 3, pp. 43-50.

Akram, J., Khan, N. A., Ali, S. et al. Multi-component instantaneous frequency estimation using signal decomposition and time-frequency filtering. SIViP, 2020, vol. 14, iss. 8, pp. 1663–1670. DOI: 10.1007/s11760-020-01711-6.

Huang, B., Lin, C.-L., Chen, W., Juang, C.-F., Wu, X. Signal Frequency Estimation Based on RNN, 2020 Chinese Control And Decision Conference (CCDC), Hefei, China, 2020, pp. 2030-2034, DOI: 10.1109/CCDC49329.2020.9164504.

Yu, Su., Defu, Jiang. Digital Instantaneous Frequency Measurement of a Real Sinusoid Based on Three Sub-Nyquist Sampling Channels. Mathematical Problems in Engineering, vol. 2020, Article ID: 5089761. 11 p. DOI: 10.1155/2020/5089761.

Abramov, A. D., Petrunina, T. A., Moskalenko, T. I. Test dlja obnaruzhenija garmonicheskogo signala pri razryvnyh nabljudenijah [The task of detection of the complex harmonic signal in the presence of totally independent observation intervals]. Radioelektronni i komp'uterni sistemi – Radioelectronic and computer systems, 2008, no. 2 (29), pp. 31-35.

Volosyuk, V. K., Zhila, S. S., Cherepnin, H. S., Tserne, E. A. Vosstanovlenie kogerentnyh izobrazhenij poverhnostej v zone Frenelja metodami mnogokanal'noj obrabotki signalov [Recovery of surfaces coherent images in the fresnel region by the methods of multichannel signal processing]. Radioelektronni i komp'uterni sistemi – Radioelectronic and computer systems, 2018, no. 3(87), pp. 97-102. DOI: 10.32620/reks.2018.3.10.

Korn, G., Korn, T. Spravochnik po matematike [Handbook of mathematics]. Moscow, “Nauka” Publ., 1973. 832 p.

Falkovich, S. E., Khomyakov, E. N. Statistich-eskaja teorija izmeritel'nyh radiosistem [Statistical theo-ry of measuring radio systems]. Moscow, “Radio i svjaz'” Pub., 1981. 288 p.