Geometric approach to sampling and communication

Details Geometric approach to sampling and communication Geometric approach to sampling and communication

2010-02-15

arxiv.org/abs/1002.2959v1

Computer Science

Information Theory

19 pages, submitted for publication

Scientific paper

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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