Abstract: Maximum rank distance (MRD) codes have been used for the construction of space time block code (STBC) using a matrix method. Like orthogonal STBC’s in most popular cases, MRD-STBC’s can also achieve full diversity. Though an OSTBC is known to yield the best BER performance, a unique case is described where MRD- STBC performs better than Alamouti code (OSTBC). Moreover, the viability of Gabidulin’s decoding algorithm has been established by decoding complex symbols generated from MRD-STBC’s. Under this decoding scheme, MRD- STBC’s have been shown to be preferred candidate for higher antenna configuration as the decoding complexity of Gabidulin’s algorithm is far less than that of maximum likelihood (ML) decoding algorithm.

Keywords: Rank codes, Gaussian integers, space time block codes, orthogonal space time block codes.

MSC: 12E20

Link:

RANK CODES OVER GAUSSIAN INTEGERS AND SPACE TIME BLOCK CODES

Hafiz M.Asif, Ernst Gabidulin, Bahram Honary

http://www.foibg.com/ibs_isc/ibs-25/ibs-25-p10.pdf