The common approach to calculating the characteristics of the signal parameters joint estimates under the violation of the decision statistics regularity conditions
We study the problem of the measurement of the quasi-deterministic or stochastic signal with the unknown discontinuous parameters against Gaussian interferences. Our goal is to determine the characteristics of the joint maximum likelihood estimates of the unknown parameters under the violation of th...
| Published in: | Engineering letters Vol. 28, № 2. P. 492-503 |
|---|---|
| Other Authors: | , , , , |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000794340 Перейти в каталог НБ ТГУ |
| LEADER | 03317nab a2200361 c 4500 | ||
|---|---|---|---|
| 001 | vtls000794340 | ||
| 003 | RU-ToGU | ||
| 005 | 20230319222141.0 | ||
| 007 | cr | | ||
| 008 | 210226|2020 cc s a eng d | ||
| 035 | |a to000794340 | ||
| 039 | 9 | |a 202103011906 |c 202103011905 |d cat34 |c 202102261036 |d VLOAD |y 202102261024 |z Александр Эльверович Гилязов | |
| 040 | |a RU-ToGU |b rus |c RU-ToGU | ||
| 245 | 1 | 4 | |a The common approach to calculating the characteristics of the signal parameters joint estimates under the violation of the decision statistics regularity conditions |c O. V. Chernoyarov, A. V. Zakharov, A. P. Trifonov [et al.] |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 520 | 3 | |a We study the problem of the measurement of the quasi-deterministic or stochastic signal with the unknown discontinuous parameters against Gaussian interferences. Our goal is to determine the characteristics of the joint maximum likelihood estimates of the unknown parameters under the violation of the decision statistics regularity conditions. For this purpose, we introduce the local additive approximation method. According to this method, the decision statistics being a multidimensional random field is represented in the form of the sum of the products of the independent Markov random processes. Such representation proves to be valid in the small neighborhood of the point of the true values of the unknown parameters. Further, by applying the Markov random processes technique, it is possible to obtain the asymptotic analytical expressions for the probability density and the conditional moments of the resulting estimates. The accuracy of the specified formulas increases with the signal-to-noise ratio. Finally, we illustrate how the local additive approximation method can be applied when analyzing the performance of the two receiving devices: the measurer of the time of appearance and the duration of the quasi-deterministic video pulse and the measurer of the time of appearance and the band center of the Gaussian radio pulse. By means of statistical computer simulation, it is established that the application of this method allows obtaining the closed formulas for the accuracy characteristics of discontinuous signal measurers which are operable in a wide range of signal-to-noise ratios. | |
| 653 | |a метод максимального правдоподобия | ||
| 653 | |a метод локальной марковской аппроксимации | ||
| 653 | |a метод локальной аппроксимации | ||
| 653 | |a параметры прерывистого сигнала | ||
| 655 | 4 | |a статьи в журналах |9 879358 | |
| 700 | 1 | |a Zakharov, Alexander V. |9 501499 | |
| 700 | 1 | |a Trifonov, Andrey P. |9 509883 | |
| 700 | 1 | |a Salnikova, Alexandra V. |9 167445 | |
| 700 | 1 | |a Makarov, Alexander A. |9 502617 | |
| 700 | 1 | |a Chernoyarov, Oleg V. |9 167444 | |
| 773 | 0 | |t Engineering letters |d 2020 |g Vol. 28, № 2. P. 492-503 |x 1816-093X | |
| 852 | 4 | |a RU-ToGU | |
| 856 | 4 | |u http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000794340 | |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=478987 | ||
| 908 | |a статья | ||
| 999 | |c 478987 |d 478987 | ||