Shannon meets Nyquist: The interplay between capacity and sampling

Yuxin Chen, Andrea J. Goldsmith, Yonina C. Eldar

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We explore several fundamental questions at the intersection of sampling theory and information theory: how is channel capacity affected by sampling below the channel's Nyquist rate, and what is the optimal input and sampling strategy at a given sub-Nyquist sampling rate. In particular, we derive the capacity of sampled analog channels for several sampling mechanisms, including a filter followed by sampling and a filter bank followed by sampling. Connections between sampling and MIMO Gaussian channels are illuminated based on this analysis. These results demonstrate the tradeoff between channel capacity and sampling rate, and also illustrate the interplay between sampling techniques and capacity of sampled analog channels.

Original languageEnglish (US)
Title of host publication2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
Pages1090-1097
Number of pages8
DOIs
StatePublished - 2011
Externally publishedYes
Event2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011 - Monticello, IL, United States
Duration: Sep 28 2011Sep 30 2011

Publication series

Name2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011

Other

Other2011 49th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2011
CountryUnited States
CityMonticello, IL
Period9/28/119/30/11

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Control and Systems Engineering

Keywords

  • channel capacity
  • sampled analog channels
  • sub-Nyquist sampling

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