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Paper detail

Geometric approach to sampling and communication

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.

preprint2010arXivOpen access
Emil SaucanEli AppleboimYehoshua Y. Zeevi
math.ITInformation TheoryComputer Visionmath.DG
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Emil SaucanEli AppleboimYehoshua Y. Zeevi

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