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

Sergei Avdonin; Anna Bulanova; William Moran

International Journal of Applied Mathematics and Computer Science (2007)

  • Volume: 17, Issue: 2, page 143-156
  • ISSN: 1641-876X

Abstract

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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.

How to cite

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Avdonin, Sergei, Bulanova, Anna, and Moran, William. "Construction of sampling and interpolating sequences for multi-band signals. the two-band case." International Journal of Applied Mathematics and Computer Science 17.2 (2007): 143-156. <http://eudml.org/doc/207826>.

@article{Avdonin2007,
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.},
author = {Avdonin, Sergei, Bulanova, Anna, Moran, William},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {families of exponentials; observation; multi-band signals; sampling and interpolation; Wiener-Hopf equations; Riesz bases; control; sampling; interpolation},
language = {eng},
number = {2},
pages = {143-156},
title = {Construction of sampling and interpolating sequences for multi-band signals. the two-band case},
url = {http://eudml.org/doc/207826},
volume = {17},
year = {2007},
}

TY - JOUR
AU - Avdonin, Sergei
AU - Bulanova, Anna
AU - Moran, William
TI - Construction of sampling and interpolating sequences for multi-band signals. the two-band case
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 2
SP - 143
EP - 156
AB - 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.
LA - eng
KW - families of exponentials; observation; multi-band signals; sampling and interpolation; Wiener-Hopf equations; Riesz bases; control; sampling; interpolation
UR - http://eudml.org/doc/207826
ER -

References

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