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

Authors:
X. G. Dai;Z. Zhang;S. W. Cheung;T. I. Yuk
Affiliations:
; ; ;
Venue:
RWS'09 Proceedings of the 4th international conference on Radio and wireless symposium
Year:
2009

Citing 3
Cited 0

A Tight Upper Bound on the PEP of a Space-Time Coded System

IEEE Transactions on Wireless Communications
Space-time codes for high data rate wireless communication: performance criterion and code construction

IEEE Transactions on Information Theory
Remarks on space-time codes including a new lower bound and an improved code

IEEE Transactions on Information Theory

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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.