On Sampling a High-Dimensional Bandlimited Field on a Union of Shifted Lattices

We study the problem of sampling a high-dimensional bandlimited field on a union of shifted lattices under certain assumptions motivated by some practical sampling applications. Under these assumptions, we show that simple necessary and sufficient conditions for perfect reconstruction can be identified.We also obtain an explicit scheme for reconstructing the field from its samples on the various shifted lattices. We illustrate our results using examples.


Published in:
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on, 1468-1472
Presented at:
2012 IEEE International Symposium on Information Theory (ISIT), Boston, Massachusetts, USA, July 1-6 2012
Year:
2012
Publisher:
New York, Ieee
ISBN:
978-1-4673-2579-0
Keywords:
Laboratories:




 Record created 2012-10-17, last modified 2018-03-17

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