Creator:

Avdonin, Sergei ; Bulanova, Anna ; Moran, William

Contributor:

Korbicz, Józef (1951- ) - red.

Title:

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

Group publication title:

AMCS, volume 17 (2007)

Subject and Keywords:

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

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2007

Resource Type:

artykuł

DOI:

10.2478/v10006-007-0013-4

Pages:

143-156

Source:

AMCS, volume 17, number 2 (2007) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego