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Geometric approach to sampling and communication
Published 15 Feb 2010 in cs.IT, cs.CV, math.DG, and math.IT | (1002.2959v1)
Abstract: Relationships that exist between the classical, Shannon-type, and geometric-based approaches to sampling are investigated. Some aspects of coding and communication through a Gaussian channel are considered. In particular, a constructive method to determine the quantizing dimension in Zador's theorem is provided. A geometric version of Shannon's Second Theorem is introduced. Applications to Pulse Code Modulation and Vector Quantization of Images are addressed.
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