Full Diversity Codes for MISO Systems Equipped with Linear or ML Detectors

In this paper, a general criterion for space time block codes (STBC) to achieve full-diversity with a linear receiver is proposed for a wireless communication system having multiple transmitter and single receiver antennas (MISO). Particularly, the STBC with Toeplitz structure satisfies this criteri...

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Bibliographic Details
Published in:arXiv.org 2008-07
Main Authors: Liu, Jing, Jian-Kang, Zhang, Wong, Kon Max
Format: Article
Language:English
Subjects:
Block codes
Channels
Codes
Communications systems
Constellations
Criteria
Fading
Linear receivers
MISO (control systems)
Multiplexing
Signaling
Tradeoffs
Wireless communications
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Summary:In this paper, a general criterion for space time block codes (STBC) to achieve full-diversity with a linear receiver is proposed for a wireless communication system having multiple transmitter and single receiver antennas (MISO). Particularly, the STBC with Toeplitz structure satisfies this criterion and therefore, enables full-diversity. Further examination of this Toeplitz STBC reveals the following important properties: a) The symbol transmission rate can be made to approach unity. b) Applying the Toeplitz code to any signalling scheme having nonzero distance between the nearest constellation points results in a non-vanishing determinant. In addition, if QAM is used as the signalling scheme, then for independent MISO flat fading channels, the Toeplitz codes is proved to approach the optimal diversity-vs-multiplexing tradeoff with a ZF receiver when the number of channel uses is large. This is, so far, the first non-orthogonal STBC shown to achieve the optimal tradeoff for such a receiver. On the other hand, when ML detection is employed in a MISO system, the Toeplitz STBC achieves the maximum coding gain for independent channels. When the channel fading coefficients are correlated, the inherent transmission matrix in the Toeplitz STBC can be designed to minimize the average worst case pair-wise error probability.
ISSN:2331-8422
DOI:10.48550/arxiv.0807.0245