Geometric approach to sampling and communication

Emil Saucan; Eli Appleboim; Yehoshua Y. Zeevi

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arXiv · 1002.2959

Geometric approach to sampling and communication

Emil Saucan·Eli Appleboim·Yehoshua Y. Zeevi

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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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Emil Saucan, Eli Appleboim, Yehoshua Y. Zeevi. 2010-02-15. Geometric approach to sampling and communication. https://arxiv.org/abs/1002.2959

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