- Tytuł:
- Optimal random sampling for spectrum estimation in DASP applications
- Autorzy:
-
Tarczyński, A.
Qu, D. - Powiązania:
- https://bibliotekanauki.pl/articles/908447.pdf
- Data publikacji:
- 2005
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
cyfrowe przetwarzanie sygnału
próbkowanie losowe
analiza spektralna
próbkowanie optymalne
digital alias-free signal processing
random sampling
spectral analysis
optimal sampling - Opis:
- In this paper we analyse a class of DASP (Digital Alias-free Signal Processing) methods for spectrum estimation of sampled signals. These methods consist in sampling the processed signals at randomly selected time instants. We construct estimators of Fourier transforms of the analysed signals. The estimators are unbiased inside arbitrarily wide frequency ranges, regardless of how sparsely the signal samples are collected. In order to facilitate quality assessment of the estimators, we calculate their standard deviations. The optimal sampling scheme that minimises the variance of the resulting estimator is derived. The further analysis presented in this paper shows how sampling instant jitter deteriorates the quality of spectrum estimation. A couple of numerical examples illustrate the main thesis of the paper
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2005, 15, 4; 463-469
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł