NDLI: Generalized Silver Codes

Content Provider	IEEE Xplore Digital Library
Author	Srinath, K.P. Rajan, B.S.
Copyright Year	1963
Abstract	For an nt transmit, nr receive antenna system (nt ×nr system), a full-rate space time block code (STBC) transmits at least nmin = min(nt,nr) complex symbols per channel use. The well-known Golden code is an example of a full-rate, full-diversity STBC for two transmit antennas. Its ML-decoding complexity is of the order of M^2.5 for square M -QAM. The Silver code for two transmit antennas has all the desirable properties of the Golden code except its coding gain, but offers lower ML-decoding complexity of the order of M². Importantly, the slight loss in coding gain is negligible compared to the advantage it offers in terms of lowering the ML-decoding complexity. For higher number of transmit antennas, the best known codes are the Perfect codes, which are full-rate, full-diversity, information lossless codes (for nr ≥ nt) but have a high ML-decoding complexity of the order of Mⁿ^tⁿ^min (for n_r <; nt, the punctured Perfect codes are considered). In this paper, a scheme to obtain full-rate STBCs for 2a transmit antennas and any n_r with reduced ML-decoding complexity of the order of Mⁿ^t(ⁿmin-3/4)-0.5 is presented. The codes constructed are also information lossless for nr ≥ nt, like the Perfect codes, and allow higher mutual information than the comparable punctured Perfect codes for nr <; nt. These codes are referred to as the generalized Silver codes, since they enjoy the same desirable properties as the comparable Perfect codes (except possibly the coding gain) with lower ML-decoding complexity, analogous to the Silver code and the Golden code for two transmit antennas. Simulation results of the symbol error rates for four and eight transmit antennas show that the generalized Silver codes match the punctured Perfect codes in error performance while offering lower ML- decoding complexity.
Sponsorship	IEEE Information Theory Society
Starting Page	6134
Ending Page	6147
Page Count	14
File Size	1165970
File Format	PDF
ISSN	00189448
Volume Number	57
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Complexity theory Transmitting antennas Receiving antennas Mutual information Encoding Silver MIMO low ML- decoding complexity Anticommuting matrices ergodic capacity full-rate space-time block codes information losslessness
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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