TY - JOUR
ID - 1174
TI - Characterization of $2times 2$ full diversity space-time codes and inequivalent full rank spaces
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Momenaee Kermani, H.
AU - Ashenab, M.
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran.
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Y1 - 2017
PY - 2017
VL - 43
IS - 7
SP - 2483
EP - 2493
KW - Space-time coding
KW - linear dispersion
KW - full diversity
KW - full rank
DO -
N2 - In wireless communication systems, space-time codes are applied to encode data when multiple antennas are used in the receiver and transmitter. The concept of diversity is very crucial in designing space-time codes. In this paper, using the equivalent definition of full diversity space-time codes, we first characterize all real and complex $2times 2$ rate one linear dispersion space-time block codes that are full diversity. This characterization is used to construct full diversity codes which are not derived from Alamouti scheme. Then, we apply our results to characterize all real subspaces of $M_{2}(mathbb{C})$ and $M_{2}(mathbb{R})$ whose nonzero elements are invertible. Finally, for any natural number $n>1$, we construct infinitely many inequivalent subspaces of $M_{n}(mathbb{C})$ whose nonzero elements are invertible.
UR - http://bims.iranjournals.ir/article_1174.html
L1 - http://bims.iranjournals.ir/article_1174_53974d9400ee9e1f4349ffd74f245181.pdf
ER -