- Tytuł:
- Construction of sampling and interpolating sequences for multi-band signals. The two-band case
- Autorzy:
-
Avdonin, S.
Bulanova, A.
Moran, W. - Powiązania:
- https://bibliotekanauki.pl/articles/911262.pdf
- Data publikacji:
- 2007
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
próbkowanie
interpolacja
bazy Riesza
równanie Wienera-Hopfa
sterowanie
obserwacja
sampling and interpolation
multi-band signals
Riesz bases
families of exponentials
Wiener–Hopf equations
control
observation - Opis:
- Recently several papers have related the production of sampling and interpolating sequences for multi-band signals to the solution of certain kinds of Wiener-Hopf equations. Our approach is based on connections between exponential Riesz bases and the controllability of distributed parameter systems. For the case of two-band signals we derive an operator whose invertibility is equivalent to the existence of a sampling and interpolating sequence, and prove the invertibility of this operator.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2007, 17, 2; 143-156
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł