E. V. Silyakov1

1 Saint-Petersburg State University of Aerospace Instrumentation (St. Petersburg, Russia)

1 johnny81@mail.ru

When synthesizing detection algorithms using a generalized likelihood ratio, it is difficult to obtain an estimate in the general case – a generalized estimate that satisfies all indicators and solving the problem of optimizing processing in measurement channels. The difficulty of obtaining estimates of informative parameters is caused by the lack of a finite analytical expression.

The generalized Neumann–Pearson criterion is used as a decision-making criterion, according to which the decision-making rule provides a transformation over the square of the modulus of the sample correlation coefficient, through the quadrature components of the samples of complex envelopes delayed by the value of the introduced adjustable delay of the signals of the first channel and the quadrature components of the samples of complex envelopes of the second unregulated channel. The algorithm of signal processing in correlation meters of speed and angle of drift, while eliminating large discrepancies, has been considered. A statistical description with a parametric representation of a priori uncertainty is used as a basis for the synthesis of signal processing algorithms in the receiving and deciding devices of the track speed and drift angle meters of the aircraft.

A mathematical model of the possibility of constructing signal processing algorithms in the receiver-solving systems of correlation meters of speed and drift angle has been presented on the basis of the generalized Neumann–Pearson criterion, according to which the decision-making rule, taking into account the choice of a threshold level from the probability of a false alarm, is implemented in discrete form, which made it possible to evaluate the parameters based on the specified conditions. The estimation of the maximum number of discrete values of the delay of the signal of the regulated channel relative to the signal of the unregulated channel has been carried out. The effective width of the signal cross-correlation coefficient has been determined.

The obtained results can be recommended when creating a model as a basis for constructing algorithms of generating error signals when processing signals in the channels of correlation meters of speed and angle of drift.

Silyakov E.V. Possibilities of digital signal processing methods using in the correlation meter of speed and drift angle. Information-measuring and Control Systems. 2023. V. 21. № 4. P. 34−39. DOI: https://doi.org/10.18127/j20700814-202304-05 (in Russian)

1. Zhuravlev A.K., Lukoshkin A.P., Poddubnyj S.S. Obrabotka signalov v adaptivnykh antennykh reshetkakh. L.: Izdatel'stvo Leningr. un-ta. 1983. (in Russian)
2. Bajdakov M.P., Silyakov E.V., Silyakov V.A., Khomenko A.A. Adaptivnaya obrabotka signalov v sledyashchikh sistemakh korrelyatsionnykh izmeritelej parametrov dvizheniya LA. Oboronnaya tekhnika. 2003. Vyp. 9. S. 32–35. (in Russian)
3. Bestugin A.R., Silyakov V.A. Adaptivnaya obrabotka signalov v sistemakh poiska korrelyatsionnykh izmeritelej parametrov dvizheniya. V kn. Issledovanie, razrabotka priborov i ustrojstv. Pod red. L.E. Ovchinnikova. SPb.: SPbGUAP. 1998. S. 53–57. (in Russian)
4. Zaks Sh. Teoriya statisticheskikh vyvodov. M.: Mir. 1975. (in Russian)
5. Korn G., Korn T. Spravochnik po matematike dlya nauchnykh rabotnikov i inzhenerov: Per. s angl. Pod obshch. red. I.G. Aramanovicha. M.: Nauka. 1968. (in Russian)
6. Silyakov E.V., Baksheeva Yu.V. Otsenivanie transportnykh zapazdyvanij signalov v korrelyatsionnykh izmeritelyakh parametrov dvizheniya na osnove chislennykh metodov. Sb. materialov XXIV Mezhdunar. nauchnoj konf. «Volnovaya elektronika i infokommunikatsionnye sistemy». Sankt-Peterburg. 2021. S. 236–241. (in Russian)
7. Sistemnyj analiz i prinyatie reshenij. Slovar'-spravochnik: Ucheb. posobie dlya vuzov. Pod red. V.N. Volkovoj, V.N. Kozlova. M.: Vysshaya shkola. 2004. (in Russian)