The sampling theorem and coherent state systems

Chaturvedi, S. (2007) The sampling theorem and coherent state systems Optics and Spectroscopy, 103 (3). pp. 405-410. ISSN 0030-400X

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The Poisson Summation Formula and the sampling theorem for band limited signals, well known in the context of Fourier transformation theory, are analyzed from the perspective of the Zak basis and coherent state systems associated with the Heisenberg-Weyl group. In particular, we rephrase the content of the sampling theorem in terms coherent states and show that this in turn permits extensions, which allow us to make specific statements concerning standard and generalized coherent state systems on von Neumann or finer lattices.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
ID Code:7027
Deposited On:26 Oct 2010 04:37
Last Modified:28 May 2011 04:54

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