On the relationship between mutual information and bit error probability for some linear dispersion codes

Authors:
Xianglan Jin;Jae-Dong Yang;Kyoung-Young Song;Jong-Seon No;Dong-Joon Shin
Affiliations:
Department of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;Department of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;Department of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;Department of Electrical Engineering and Computer Science, Seoul National University, Seoul, Korea;Department of Electronics and Computer Engineering, Hanyang University, Seoul, Korea
Venue:
IEEE Transactions on Wireless Communications
Year:
2009

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Abstract

In this paper, we derive the relationship between the bit error probability (BEP) of maximum a posteriori (MAP) bit detection and the bit minimum mean square error (BMMSE). By using this result, the relationship between the mutual information and the BEP is derived for multiple-input multiple-output (MIMO) communication systems with the bit-linear linear-dispersion (BLLD) codes for the Gaussian channel. From the relationship, the lower and upper bounds on the mutual information can be derived.