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Diversity Order Vs Rate in an AWGN Channel

Authors
  • Gorantla, Anusha
  • Sharma, Vinod
Type
Preprint
Publication Date
Oct 08, 2011
Submission Date
Oct 03, 2011
Identifiers
arXiv ID: 1110.0564
Source
arXiv
License
Yellow
External links

Abstract

We study the diversity order vs rate of an additive white Gaussian noise (AWGN) channel in the whole capacity region. We show that for discrete input as well as for continuous input, Gallager's upper bounds on error probability have exponential diversity in low and high rate region but only subexponential in the mid-rate region. For the best available lower bounds and for the practical codes one observes exponential diversity throughout the capacity region. However we also show that performance of practical codes is close to Gallager's upper bounds and the mid-rate subexponential diversity has a bearing on the performance of the practical codes. Finally we show that the upper bounds with Gaussian input provide good approximation throughout the capacity region even for finite constellation.

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