- Tytuł:
- On the statistical analysis of the harmonic signal autocorrelation function
- Autorzy:
-
Sienkowski, Sergiusz
Krajewski, Mariusz - Powiązania:
- https://bibliotekanauki.pl/articles/2055177.pdf
- Data publikacji:
- 2021
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
harmonic signal
autocorrelation function
mean squared error
sygnał harmoniczny
funkcja autokorelacji
błąd średniokwadratowy - Opis:
- The article presents new tools for investigating the statistical properties of the harmonic signal autocorrelation function (ACF). These tools enable identification of the ACF estimator errors in measurements in which the triggering of the measurements is non-synchronized. This is important because in many measurement situations the initial phase of the measured signal is random. The developed tools enable testing the ACF estimator of a harmonic signal in the presence of Gaussian noise. These are the formulas on the basis of which the statistical properties of the estimator can be determined, including the bias, the variance and the mean squared error (MSE). For comparison, the article also presents the ACF statistical analysis tools used in the conditions of synchronized measurement triggering, known from the literature. Operation of the new tools is verified by simulation and experimental studies. The conducted research shows that differences between the MSE results obtained with the use of the developed formulas and those attained from simulations and experimental tests are not greater than 1 dB.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2021, 31, 4; 729--744
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł