Construction of sampling and interpolating sequences for multi-band signals. The two-band case

• Autorzy: Avdonin S. , Bulanova A. , Moran W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

sampling and interpolation; multi-band signals; Riesz bases; families of exponentials; Wiener–Hopf equations; control; observation

PL

próbkowanie; interpolacja; bazy Riesza; równanie Wienera-Hopfa; sterowanie; obserwacja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: Vol. 17, no 2
• Strony: 143--156
• Opis fizyczny: Bibliogr. 20 poz., tab.

Twórcy

autor

Avdonin S.

• Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, AK 99775–6660, USA

autor

Bulanova A.

• Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, AK 99775–6660, USA

autor

Moran W.

• Department of Electrical and Electronic Engineering, University of Melbourne, Melbourne Victoria 3010, Australia

Bibliografia

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