NDLI: Constructions of Asymptotically Optimal Space–Frequency Codes for MIMO-OFDM Systems

Content Provider	IEEE Xplore Digital Library
Author	Hsiao-feng Lu Mao-Ching Chiu
Copyright Year	1963
Abstract	Constructions of space-frequency (SF) codes for multiple-input multiple-output (MIMO)-orthogonal frequency-division multiplexing (OFDM) systems with n_t transmit antennas and Q subcarriers are considered in this paper. Following the pairwise-error-probability analysis, it is known that in addition to the conventional rank distance criterion, the minimum column distance of (n_ttimesQ) SF codes serves as another benchmark in code design. SF codes with larger minimum column distance are expected to have better performance. Following this principle, the rate-diversity tradeoff for the MIMO-OFDM channels as well as two SF 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 (QtimesQ) nonsingular matrix. Codes obtained from this construction are called linearly transformed MRD (LT-MRD) codes. Minimum column distance of the LT-MRD codes, when averaged over all code ensembles, is shown to meet the Gilbert-Varshamov bound. For the case of constructing the (2times256) quadrature phase-shift keying (QPSK)-modulated SF codes, it is shown that the LT-MRD codes can provide a much larger minimum column distance at the value of ges50, compared to the values of 3,5, or 6 obtained by other available constructions. The second code construction, termed cyclotomic 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 of the resultant codes are presented. It is shown that this newly constructed code is asymptotically optimal in terms of rate-diversity tradeoff. Bounds on the minimum column distance of these codes are also given
Sponsorship	IEEE Information Theory Society
Starting Page	1676
Ending Page	1688
Page Count	13
File Size	420894
File Format	PDF
ISSN	00189448
Volume Number	53
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	MIMO OFDM Channel capacity Frequency division multiplexing Transmitting antennas Receiving antennas Associate members Phase shift keying Communication systems Transmitters space–time (ST) codes Algebraic code designs cyclotomic cosets linearly transformed maximal rank distance (LT-MRD) codes multiple-input multiple-output (MIMO) orthogonal frequency- division multiplexing (OFDM) space–frequency codes
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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