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The Mutual Information for Bit-Linear Linear-Dispersion Codes  

Jin, Xiang-Lan (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소)
Yang, Jae-Dong (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소)
Song, Kyoung-Young (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소)
No, Jong-Seon (서울대학교 전기.컴퓨터공학부 및 뉴미디어통신공동연구소)
Shin, Dong-Joon (한양대학교 전자전기컴퓨터공학부)
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 (MMSE), that is, the BEP is greater than a quarter of the bit USE and less than a half of the bit MMSE. By using this result, the lower and upper bounds of the derivative of the mutual information are derived from the BEP and the lower and upper bounds are easily obtained in the multiple-input multiple-output (MIMO) communication systems with the bit-linear linear-dispersion (BLLD) codes in the Gaussian channel.
Keywords
BEP; bit-linear linear-dispersion (BLLD) codes; maximum a posteriori (MAP); MMSE; mutual information (MIMO);
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