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Difficulties in using the exact closed-form PEP formula for BER calculation of S-T codes

  • X. G. Dai
  • , Z. Zhang
  • , S. W. Cheung
  • , T. I. Yuk

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The formula for the exact union bound (EUB) on BER based on the exact closed-form Pair-wise Error Probability (PEP) is most accurate for calculating the bit-error-rates (BERs) of Space-Time (S-T) codes in Multiple-Input Multiple Output (MIMO) systems. In this paper, it is shown that using the exact closed-form PEP formula for numerical calculations of the PEP or the EUB on BER could produce negative results. The formula for the exact closed-form PEP is therefore re-examined and explanations for the problem are given. A simple trick is suggested to reduce the effect of the problem. A new upper bound on PEP derived using the Hölder Inequality is proposed to replace the exact closed-form PEP formula. Numerical calculation results show that the union bound based on the proposed new upper bound on PEP is a very tight bound to the EUB and doesn't have the problem of negative results.

Original languageEnglish
Title of host publicationRWS 2009 IEEE Radio and Wireless Symposium, Proceedings
Pages292-295
Number of pages4
DOIs
StatePublished - 2009
Event2009 IEEE Radio and Wireless Symposium, RWS 2009 - San Diego, CA, United States
Duration: 18 Jan 200822 Jan 2008

Publication series

NameRWS 2009 IEEE Radio and Wireless Symposium, Proceedings

Conference

Conference2009 IEEE Radio and Wireless Symposium, RWS 2009
Country/TerritoryUnited States
CitySan Diego, CA
Period18/01/0822/01/08

Keywords

  • Exact PEP
  • MIMO
  • Union bounds on BER

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