A new family of Grassmann space-time codes for non-coherent MIMO systems

Kammoun, Inès; Belfiore, Jean-Claude

doi:10.1109/lcomm.2003.820081

Cited by 55 publications

(40 citation statements)

References 11 publications

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“…The achieved result can be seen as complementary to that of Kammoun and Belfiore [21], who presented a coding scheme for non-coherent channel space time block codes in terms of coherent channel ones, compare Remark III.7 for further implications.…”

Section: Introductionsupporting

confidence: 68%

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Geometrical Relations Between Space–Time Block Code Designs and Complexity Reduction

Henkel¹

2006

IEEE Trans. Inform. Theory

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Abstract-In this work, the geometric relation between space time block code design for the coherent channel and its noncoherent counterpart is exploited to get an analogue of the information theoretic inequality I(X; S) ≤ I((X, H); S) in terms of diversity. It provides a lower bound on the performance of non-coherent codes when used in coherent scenarios. This leads in turn to a code design decomposition result splitting coherent code design into two complexity reduced sub tasks. Moreover a geometrical criterion for high performance space time code design is derived.

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Section: Introductionsupporting

confidence: 68%

“…In a recent article [21] it has been shown, that coding for the non-coherent channel is under certain assumptions equivalent to coding on the horizontal tangent space, with respect to the coherent channel diversity for V …”

Section: Remark Iii6mentioning

confidence: 99%

Geometrical Relations Between Space–Time Block Code Designs and Complexity Reduction

Henkel¹

2006

IEEE Trans. Inform. Theory

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“…However, they have no control over transmit diversity. In [5], the authors designed codes for PSK constellations, ensuring full transmit diversity, while in [6], the authors used exponential transform and coherent codes to design unitary space-time codes which require lesser number of parameters to be optimized than in [4]. Their construction guarantees full transmit diversity.…”

Section: Introductionmentioning

confidence: 99%

Full-diversity high-rate non-coherent unitary STBCs: New designs and performance

Dutta

Chockalingam

2009

2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications

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Abstract-In this paper, we propose new non-coherent spacetime block code (STBC) designs, which achieve full transmit diversity as well as high rates. We first present a search procedure to generate full-diversity non-coherent unitary space-time codebooks for any number of transmit antennas (nt) and time slots (T ≥ 2nt), using radial coordinates of points lying on the surface of a sphere in R T −n t . The search method generates codebooks having a specified minimum chordal distance, which allows flexibility in achieving coding gain. Further, we propose another unitary design using circulant matrices for any nt, by restricting the search only to suitable constellation sets in R 2 for the case of T = 2nt. For the latter design, we present two different optimizations; i) to maximize the minimum chordal distance, and ii) to maximize the expected chordal distance. The proposed designs use an analytical design criterion which guarantees full diversity. The proposed designs are shown to outperform Jing and Hassibi codes reported previously in the literature.

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“…The codes thereby obtained collapse to the unitary constellations at high SNR, but at low SNR they have a multilevel structure and show improvement over unitary constellations of same size. In [15] a family of space-time codes suited for noncoherent multi-input multi-output (MIMO) systems was presented. These codes use all the degrees of freedom of the system, and they are constructed as codes on the Grassmann manifold by the exponential map.…”

Section: Introductionmentioning

confidence: 99%

Noncoherent Communication in Multiple-Antenna Systems: Receiver Design and Codebook Construction

Beko

Barroso

2007

IEEE Trans. Signal Process.

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We address the problem of space-time codebook design for non-coherent communications in multiple-antenna wireless systems. In contrast with other approaches, the channel matrix is modeled as an unknown deterministic parameter at both the receiver and the transmitter, and the Gaussian observation noise is allowed to have an arbitrary correlation structure, known by the transmitter and the receiver. In order to handle the unknown deterministic spacetime channel, a generalized likelihood ratio test (GLRT) receiver is considered. A new methodology for space-time codebook design under this non-coherent setup is proposed. This optimizes the probability of error of the GLRT receiver's detector in the high signal-to-noise ratio (SNR) regime, thus solving a high-dimensional nonlinear nonsmooth optimization problem in a two-step approach: (i) firstly, a convex SDP relaxation of the codebook design problem yields a rough estimate of the optimal codebook; (ii) this is then refined through a geodesic descent optimization algorithm that exploits the Riemannian geometry imposed by the power constraints on the spacetime codewords. The results obtained through computer simulations illustrate the advantages of our method. For the specific case of spatio-temporal white observation noise, our codebook constructions replicate the performance of state-of-art known solutions. The main point here is that our methodology permits to extend the codebook construction to any given correlated noise environment. The simulation results show the good performance of these new designed codes. Index TermsMultiple-input multiple output (MIMO) systems, non-coherent communications, space-time constellations, generalized likelihood ratio test (GLRT) receiver, semidefinite programming (SDP), geodesic descent algorithm (GDA).

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A new family of Grassmann space-time codes for non-coherent MIMO systems

Cited by 55 publications

References 11 publications

Geometrical Relations Between Space–Time Block Code Designs and Complexity Reduction

Geometrical Relations Between Space–Time Block Code Designs and Complexity Reduction

Full-diversity high-rate non-coherent unitary STBCs: New designs and performance

Noncoherent Communication in Multiple-Antenna Systems: Receiver Design and Codebook Construction

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