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

Xianglan Jin; Jae Dong Yang; Kyoung Young Song; Jong Seon No; Dong Joon Shin

doi:10.1109/T-WC.2009.080200

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

Xianglan Jin^*
, Jae Dong Yang
, Kyoung Young Song
, Jong Seon No
, Dong Joon Shin

^*Corresponding author for this work

Division of Electronic Engineering

Seoul National University
Hanyang University

Research output: Contribution to journal › Journal article › peer-review

4 Scopus citations

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.

Original language	English
Article number	4786486
Pages (from-to)	90-94
Number of pages	5
Journal	IEEE Transactions on Wireless Communications
Volume	8
Issue number	1
DOIs	https://doi.org/10.1109/T-WC.2009.080200
State	Published - 2009.01

Keywords

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

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10.1109/T-WC.2009.080200

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@article{0472c39e11534744ab69f08c1fc996c3,

title = "On the relationship between mutual information and bit error probability for some linear dispersion codes",

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 = "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",

author = "Xianglan Jin and Yang, \{Jae Dong\} and Song, \{Kyoung Young\} and No, \{Jong Seon\} and Shin, \{Dong Joon\}",

year = "2009",

month = jan,

doi = "10.1109/T-WC.2009.080200",

language = "English",

volume = "8",

pages = "90--94",

journal = "IEEE Transactions on Wireless Communications",

issn = "1536-1276",

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T1 - On the relationship between mutual information and bit error probability for some linear dispersion codes

AU - Jin, Xianglan

AU - Yang, Jae Dong

AU - Song, Kyoung Young

AU - No, Jong Seon

AU - Shin, Dong Joon

PY - 2009/1

Y1 - 2009/1

N2 - 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.

AB - 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.

KW - Bit error probability (BEP)

KW - Bit-linear linear-dispersion (BLLD) codes

KW - Maximum a posteriori (MAP) bit detection

KW - Minimum mean square error (MMSE)

KW - Multiple-input multiple-output (MIMO)

KW - Mutual information

UR - https://www.scopus.com/pages/publications/61349188439

U2 - 10.1109/T-WC.2009.080200

DO - 10.1109/T-WC.2009.080200

M3 - Journal article

AN - SCOPUS:61349188439

SN - 1536-1276

VL - 8

SP - 90

EP - 94

JO - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

IS - 1

M1 - 4786486

ER -

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

Abstract

Keywords

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