Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band Case
2007 ◽
Vol 17
(2)
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pp. 143-156
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Keyword(s):
Construction of Sampling and Interpolating Sequences for Multi-Band Signals. The Two-Band CaseRecently 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.
1986 ◽
Vol 6
(2)
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pp. 179-194
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1993 ◽
Vol 140
(5)
◽
pp. 305
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1999 ◽
Vol 31
(4-5)
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pp. 98-105
Keyword(s):
Keyword(s):