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

• Autorzy: Sergei Avdonin , Anna Bulanova , William Moran
• 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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2007
• Tom: 17
• Numer: 2
• Strony: 143-156

Daty

wydano

2007

otrzymano

2006-11-02

(nieznana)

2006-12-15

poprawiono

2007-02-22

Twórcy

autor

Sergei Avdonin

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

autor

Anna Bulanova

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

autor

William Moran

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

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