Title :
On the relationship between mutual information and bit error probability for some linear dispersion codes
Author :
Jin, Xianglan ; Yang, Jae-Dong ; Song, Kyoung-Young ; No, Jong-Seon ; Shin, Dong-Joon
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Seoul Nat. Univ., Seoul
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.
Keywords :
Gaussian channels; MIMO communication; error statistics; least mean squares methods; linear codes; maximum likelihood estimation; Gaussian channel; MIMO system; bit error probability; bit minimum mean square error; bit-linear linear-dispersion codes; linear dispersion codes; maximum a posteriori bit detection; multiple-input multiple-output communication systems; Binary phase shift keying; Dispersion; Error probability; Gaussian channels; MIMO; Mean square error methods; Mutual information; Quadrature phase shift keying; Signal to noise ratio; Upper bound; Bit error probability (BEP); bit-linear linear-dispersion (BLLD) codes; maximum a posteriori (MAP) bit detection; minimum mean square error (MMSE); multiple-input multiple-output (MIMO); mutual information;
Journal_Title :
Wireless Communications, IEEE Transactions on
DOI :
10.1109/T-WC.2009.080200
