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On the Error Exponent of the Two-way Gaussian Channel



  1. UIC – NSF CAREER 1053933: Foundations for Two-way Communication Networks

Problem Statement and Motivation 

  • Shannon introduced the Gaussian Channel in 1948.
  • Channel coding theorem states that for any rate R below the channel capacity C, the probability of error can be made arbitrarily small Ρ_e → 0, as the block length n goes to infinity n → ∞.
  • Infinite block lengths are not practical, therefore, the exponential decay of error probability needs to be studied.
  • The reliability function of the one-way Gaussian channel is already known for AWGN communication schemes with and without feedback but it is not for the TWGC.

Technical Approach


  • Reliability function example:

on-the-error-exp-reliability-funct  Key Achievements and Future Goals

  • As work is still in progress we present some future goals:
    • Error exponent results of a single bit transmission over a one-way Gaussian channel with feedback may be used to study the error exponent of the two-way Gaussian channel.
    • For TWGC, we expect to characterize the trade off between error exponents in the two communication directions.

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