Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case

Sergei Avdonin; Anna Bulanova; William Moran

doi:10.2478/v10006-007-0013-4

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Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case

International Journal of Applied Mathematics and Computer Science

Volume 17 (2007): Issue 2 (June 2007)

By: Sergei Avdonin, Anna Bulanova and William Moran

Open Access

|Jul 2007

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.

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Articles in this issue

DOI: https://doi.org/10.2478/v10006-007-0013-4 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X

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Language: English

Page range: 143 - 156

Published on: Jul 17, 2007

Published by: University of Zielona Góra

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

sampling and interpolation,

multi-band signals,

Riesz bases,

families of exponentials,

Wiener-Hopf equations,

control,

observation

Related subjects:

Mathematics,

Applied mathematics

© 2007 Sergei Avdonin, Anna Bulanova, William Moran, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 17 (2007): Issue 2 (June 2007)