V.I. Volovach - Dr.Sc. (Eng.), Associate Professor, Head of Department «Information and Electronic Service», Volga Region State University of Service. E-mail: volovach.vi@mail.ru V.М. Artyushenko - Dr.Sc. (Eng.), Professor, Head of Department «Information Technology and Management Systems», Technological University («TU» GBOU VO MO) (Korolev). E-mail: artuschenko@mail.ru К.L. Samarov - Dr.Sc. (Phys.-Math.), Professor, Department «Mathematics and Natural Sciences », Technological University («TU» GBOU VO MO) (Korolev). E-mail: kimsamarov@yandex.ru I.М. Belyuchenko - Dr.Sc. (Eng.), Professor, Department «Information Technology and Management Systems», Technological University («TU» GBOU VO MO) (Korolev). E-mail: bill3705@yandex.ru N.А. Vasilyev - Dr.Sc. (Eng.), Professor, Department «Information Technology and Management Systems», Technological University («TU» GBOU VO MO) (Korolev). E-mail: cit@ktrv.ru

In the article the estimation of error of measurement parameters of the useful signal along with the non-Gaussian multiplicative noise is considered. The problem of the study is defined and it shows that the useful signal is influenced by not only additive noise but also by multiplicative noise. Moreover, additive and multiplicative noise can have both Gaussian and non-Gaussian density of probability distribution. This article estimates the impact of non-Gaussian multiplicative noise on the useful signal. To estimate the information parameters of the signal we use the method of maximum a posteriori probability density and lower bounds of Rao-Cramer inequality. It is shown that in general case the impact of multiplicative noise on the useful signal leads to shift of estimates of measured parameters. The easiest way to determine the shift is when it is not dependent on the estimated parameter, which allows us to get an unbiased estimate of the information parameter. It is shown that with known distribution parameters of the multiplicative noise we can determine the shift value and get to an unbiased estimate. This approach is used in the article. We considered the estimation of measurement accuracy of vector information parameter as a more informative case of estimating the parameters of the useful signal. We considered the change in frequency, derivative of frequency and phase of the useful signal that carry information about the parameters of movement of located object as vector information parameter. Estimation of measurement accuracy of vector information parameter is carried out in multiplicative noise. This noise has both independent and correlated nature. We obtained the calculated ratios for estimating the frequency, the derived frequency and phase of the useful signal for evaluation in different conditions, in particular, during motion of the detected object with a constant velocity, with known initial phase of the useful signal, for motionless detected object. It is shown that to increase the accuracy of measurement of information parameters of the useful signal it is necessary to consider the multiplicative noise that influences the signal. It can be implemented by creating a special channel for estimating multiplicative noise. As a result, it is shown that in general case multiplicative noise leads to a shift of estimated parameters of the information signal, and the bigger is shift value, the worse is measurement accuracy. It is shown that the error of measurement of information parameters of the useful signal can be significantly reduced by accounting for Fisher variance information on modulating noise.

 

1. Gud G.KH., Makol R.Z.Sistemotekhnika: Vvedenie v proektirovanie bolshikh sistem. M.: Sov. radio. 1962.
2. Volovach V.I. Analiticheskie zavisimosti zakona ustanovlenija pribornogo kontakta radiotekhnicheskikh sistem i ustrojjstv obnaruzhenija blizhnego dejjstvija // Uspekhi sovremennojj radioehlektroniki. 2015. № 2. S. 64-70.
3. Volovach V.I.Opredelenie dostovernosti obnaruzhenija protjazhennykh obektov po PRV dalnosti dejjstvija radiotekhnicheskikh ustrojjstv obnaruzhenija // Radiotekhnika. 2015. № 2. S. 39-46.
4. Volovach V.I.Obnaruzhenie protjazhennykh obektov v uslovijakh apriornojj neopredelennosti otnositelno parametrov dvizhenija na fone negaussovskikh pomekh // Radiotekhnika. 2015. № 2. S. 30-38.
5. Volovach V.I. Artuushenko V.M., Budilov V.N., Shakurskiy M.V. The estimation of accumulating detection probability of objects with the help of short range wireless devices // Contemporary Engineering Sciences 2016. V. 9. № 4. Hikari LTD. P.187-199.
6. Komarov I.V., Smolskiy S.M. Fundamentals of short-range FM radar. Norwood: Artech House. 2003.
7. Artjushenko V.M.Issledovanie i razrabotka radiolokacionnogo izmeritelja parametrov dvizhenija protjazhennykh obektov. M.: GBOU VPO FTA. 2013.
8. Petrakov A.V. Zashhita i okhrana lichnosti, sobstvennosti, informacii. M.: Radio i svjaz. 1997.
9. Kogan I.M. Blizhnjaja radiolokacija. M.: Sov. radio. 1973.
10. Ostrovitjanov R.V., Basalov F.A. Statisticheskaja teorija radiolokacii protjazhennykh celejj. M.: Radio i svjaz. 1982.
11. Feldman JU.I., Mandurovskijj I.A. Teorija fljuktuacijj lokacionnykh signalov, otrazhennykh raspredelennymi celjami. M.: Radio i svjaz. 1988.
12. Volovach V.I. Metody i algoritmy analiza radiotekhnicheskikh ustrojjstv blizhnego dejjstvija. M.: Radio i svjaz 2013.
13. Volovach V.I.Realizacija optimalnojj struktury obnaruzhenija radiotekhnicheskikh ustrojjstv okhrannojj signalizacii // EHlektrotekhnicheskie i informacionnye kompleksy i sistemy. 2009. T. 5. № 2. S. 43-49.
14. Tuzov G.I. Vydelenie i obrabotka informacii v doplerovskikh sistemakh. M.: Sov. radio. 1967.
15. Chen Victor C. Time-Frequency transforms for radar imaging and signal analysis. Artech House. 2002.
16. Kulemin G.P. Millimeter-Wave Radar Targets and Clutter. Artech House. 2003.
17. Tikhonov V.I.Statisticheskijj analiz i sintez radiotekhnicheskikh ustrojjstv i sistem. M.: Radio i svjaz. 2004.
18. Volovach V.I., CHikisheva A.S., Akmanceva I.S. Opredelenija vlijanija velichiny naprjazhenija porogovogo urovnja na parametry obnaruzhenija protjazhennykh obektov // Estestvennye i tekhnicheskie nauki. 2014. № 3. S. 148-152.
19. Akimov P.S., Bakut P.A. i dr. Teorija obnaruzhenija signalov / Pod red. P.A. Bakuta. M.: Radio i svjaz. 1984.
20. Akimov P.S., Evstratov F.F., Zakharov S.I. i dr. Obnaruzhenie radiosignalov / Pod red. A.A. Kolosova. M.: Radio i svjaz. 1989.
21. Sosulin JU.G. Teorija obnaruzhenija i ocenivanija stokhasticheskikh signalov. M.: Sov. radio. 1978.
22. Volovach V.I.KHarakteristiki obnaruzhenija radiotekhnicheskikh ustrojjstv okhrany i povyshenie ehffektivnosti ikh raboty posredstvom adaptacii k izmenjajushhejjsja pomekhovojj obstanovke // EHlektrotekhnicheskie i informacionnye kompleksy i sistemy. 2011. T. 7. № 3. S. 25-30.