Constructions of space-frequency codes for MIMO-OFDM systems

Francis Lu*, Mao Ching Chiu

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

Constructions of space-frequency (SF) codes for MIMO-OFDM systems with nt transmit antennas and Q subcarriers are considered in this paper. Arising from the pairwise-error-probability analysis, in addition to the rank distance criterion, the minimum column distance of (nt × Q) SF codes serves as another benchmark in code design. Codes with larger minimum column distance are expected to have better performance. Following this observation, two code constructions are presented. The first construction is obtained by right-multiplying the code matrices in a maximal rank-distance (MRD) code by a fixed, (Q × Q) nonsingular matrix. Codes obtained from this construction are called Linearly Transformed MRD (LT-MRD) codes in this paper. Minimum column distance of the LT-MRD codes, when averaged over all code ensembles, is shown to meet the Gilbert-Varshamov bound. The second construction is reminiscent of the construction of the Reed-Solomon codes except that the code polynomials are now selected according to the cyclotomic cosets of the underlying field. Exact minimum rank distances and bounds on the minimal column distance of these codes are presented.

Original languageEnglish
Title of host publicationProceedings of the 2005 IEEE International Symposium on Information Theory, ISIT 05
Pages2085-2089
Number of pages5
DOIs
StatePublished - 1 Dec 2005
Event2005 IEEE International Symposium on Information Theory, ISIT 05 - Adelaide, Australia
Duration: 4 Sep 20059 Sep 2005

Publication series

NameIEEE International Symposium on Information Theory - Proceedings
Volume2005
ISSN (Print)2157-8099

Conference

Conference2005 IEEE International Symposium on Information Theory, ISIT 05
CountryAustralia
CityAdelaide
Period4/09/059/09/05

Fingerprint Dive into the research topics of 'Constructions of space-frequency codes for MIMO-OFDM systems'. Together they form a unique fingerprint.

Cite this