• Corpus ID: 911803

Geometric approach to sampling and communication

@article{Saucan2010GeometricAT,
  title={Geometric approach to sampling and communication},
  author={Emil Saucan and Eli Appleboim and Yehoshua Y. Zeevi},
  journal={ArXiv},
  year={2010},
  volume={abs/1002.2959}
}
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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