Optimal rotations for quasi-orthogonal STBC with two-dimensional constellations

Dao, Dung Ngoc; Tellambura, Chintha

doi:10.1109/glocom.2005.1578077

Cited by 7 publications

(5 citation statements)

References 19 publications

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“…Thus, even though this bound is quite commonly employed in STBC designs for independent channels, the results here show that this relaxed bound is a poor design criterion for an environment of highly correlated channel coefficients. We compare BER performance of Toeplitz STBC with other rate one STBC [29], [34], [36], [63]:…”

Section: Optimal Toeplitz Stbc Design For Miso System With ML Detmentioning

confidence: 99%

“…Hence according to Theorem 1, the code achieves full diversity even with the use of a linear receiver. On the other hand, since full diversity STBC designed for ML receivers (e.g., [34]- [36], [53]) maintain nonvanishing determinant only for certain types of signalling, full diversity gain is not guaranteed when a linear receiver is used. d) When B = I, Toeplitz STBC becomes a special delay diversity code (DDC) [37], [38] with padded zeroes.…”

Section: Toeplitz Space-time Block Codes and Their Propertiesmentioning

confidence: 99%

“…The code for four transmitter antennas was presented in [34], and the maximization of its coding gain was subsequently shown in [36].…”

Section: Optimal Toeplitz Stbc Design For Miso System With ML Detmentioning

confidence: 99%

“…• Quasi-orthogonal STBC. The code for four transmitter antennas was presented in [34], and the maximization of its coding gain was subsequently shown in [36]. • Dense full-diversity STBC [29] • Multi-group decodable STBC [63] For the Toeplitz STBC, we choose L = 9 for which the symbol transmission data rate is R s = L/N = 3/4 symbols pcu.…”

Section: Optimal Toeplitz Stbc Design For Miso System With ML Detectormentioning

confidence: 99%

“…The highest transmission rate for a MISO system is unity, i.e., one symbol pcu. For such a MISO system with ML receivers, rate-1 and full diversity STBC have been proposed by various authors [29], [34]- [36]. In this paper, however, we consider such a MISO system equipped with linear receivers for which we propose a general criterion for the design of a full-diversity STBC.…”

Section: Introductionmentioning

confidence: 99%

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Full-Diversity Codes for MISO Systems Equipped With Linear or ML Detectors

Liu

Zhang

Wong

2008

IEEE Trans. Inform. Theory

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Abstract-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 nonorthogonal 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.

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Section: Optimal Toeplitz Stbc Design For Miso System With ML Detmentioning

confidence: 99%

Section: Toeplitz Space-time Block Codes and Their Propertiesmentioning

confidence: 99%

“…The code for four transmitter antennas was presented in [34], and the maximization of its coding gain was subsequently shown in [36].…”

Section: Optimal Toeplitz Stbc Design For Miso System With ML Detmentioning

confidence: 99%

Section: Optimal Toeplitz Stbc Design For Miso System With ML Detectormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Full-Diversity Codes for MISO Systems Equipped With Linear or ML Detectors

Liu

Zhang

Wong

2008

IEEE Trans. Inform. Theory

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Orthogonality‐embedded space‐time codes

Dao¹,

Tellambura²

2007

Trans Emerging Tel Tech

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We present a unified construction of full-diversity space-time block codes (STBC) called orthogonalityembedded space-time (OEST) codes. Other existing STBC, including orthogonal, quasi-orthogonal and rate-one linear threaded algebraic space-time (LTAST) codes, can also be derived from OEST codes. The new OEST construction is of the formwhere A k and B k are linear-dispersion matrices of orthogonal STBC and C k s are circulant matrices. The circulant matrices encode the data vectors, which can be completely separately detected at the receiver, greatly reducing the decoding complexity. For the same number of transmit antennas, several variants of OEST codes can be constructed allowing a tradeoff among the rate, performance and decoding complexity. A new rate-one STBC derived from OEST codes, called semi-orthogonal algebraic space-time codes, is shown to achieve near capacity of multi-input single-output channels and performs better than several existing STBC.

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