Features of the Distribution of the Estimate of the Time of Arrival of the Random Radio Pulse with Inexactly Known Duration
| Autor: | A. N. Faulgaber, Oleg V. Chernoyarov, Alexandra V. Salnikova |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0209 industrial biotechnology
Analytical expressions Maximum likelihood 020208 electrical & electronic engineering 02 engineering and technology Pulse (physics) Statistical simulation 020901 industrial engineering & automation Time of arrival Distribution (mathematics) Duration (music) 0202 electrical engineering electronic engineering information engineering Statistical physics Cumulant Mathematics |
| Zdroj: | 2018 4th International Conference on Frontiers of Signal Processing (ICFSP). |
| DOI: | 10.1109/icfsp.2018.8552047 |
| Popis: | We found the analytical expressions for the central moments of the estimate of the time of arrival of the random pulse with inexactly known duration. This estimate was synthesized by the maximum likelihood method. We show that the anomalous errors, which are possible under not too big output signal-to-noise ratio, can result in the considerable change of the distribution of the obtained estimate, particularly increasing the coefficient of excess by several thousand units. By methods of statistical simulation, we determined the borders of applicability for the asymptotically exact formulae for the third- and fourth-order cumulant coefficients. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|