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Paper details
Number 2 - June 2007
Volume 17 - 2007
Construction of sampling and interpolating sequences for multi-band signals. The two-band case
Sergei Avdonin, Anna Bulanova, William Moran
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.
Keywords
sampling and interpolation, multi-band signals, Riesz bases, families of exponentials, Wiener-Hopf equations