DocumentCode :
1204804
Title :
A counterexample for the open problem on the minimal delays of orthogonal designs with maximal rates
Author :
Kan, Haibin ; Shen, Hong
Author_Institution :
Fudan Univ., Shanghai, China
Volume :
51
Issue :
1
fYear :
2005
Firstpage :
355
Lastpage :
359
Abstract :
X. Liang systematically investigated orthogonal designs with maximal rates, gave the maximal rates of complex orthogonal designs and a concrete construction procedure for complex orthogonal designs with the maximal rates. He also posed an open problem on the minimal decoding delays of complex orthogonal designs with maximal rates, and proved that the problem is correct for less than or equal to six transmit antennas. In this correspondence, we give a counterexample for the open problem for n=8 and prove that the minimal delay for complex orthogonal designs with eight columns is 56. Hence, we give a negative answer for the open problem.
Keywords :
antenna arrays; antenna theory; block codes; decoding; delays; minimax techniques; receiving antennas; space-time codes; transmitting antennas; complex orthogonal design; concrete construction; maximal rate; minimal decoding delay; space-time block code; transmit antenna; Block codes; Computer science; Concrete; Delay; Information science; Maximum likelihood decoding; Receiving antennas; Transmitting antennas; Upper bound; Wireless communication; Complex orthogonal designs; decoding delays; full diversity; maximal rates; space–time block codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2004.839544
Filename :
1377516
Link To Document :
بازگشت