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Storm: optimal constellations for noncoherent mimo communications at low snr under papr constraints.
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Abstract | Abstract — Reliable communication over the discrete input and continuous output noncoherent MIMO Rayleigh fading channel is considered when the SNR per degree of freedom is low. The input constellations are required to satisfy peak and average power constraints. When the peak-to-average power is constrained and in the low SNR regime, the mutual information upto second order in SNR is maximized jointly over the input signal matrices and their respective probabilities. Even though the problem considered is a finite dimensional nonconvex optimization, it admits an elegant solution in closed form. The constellation obtained is referred to as Space Time Orthogonal Rank one Modulation (STORM), and it provides several new insights into noncoherent MIMO comunications in the low SNR regime. In contrast to most existing schemes for the noncoherent MIMO channel at low SNR, STORM is a practical constellation due to its discrete structure with a finite number of points and because it requires a moderate PAPR in general. Moreover, STORM is near-optimal with respect to the maximum mutual information with unconstrained cardinality, even with a moderate peak-to-average power ratio (PAPR). Numerical results show that STORM is also close to optimal from the important viewpoint of spectral efficiency. I. |
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Subject Keyword | Practical Constellation Respective Probability Continuous Output Noncoherent Mimo Rayleigh Several New Insight Low Snr Space Time Orthogonal Rank Elegant Solution Mutual Information Upto Second Order Peak-to-average Power Important Viewpoint Numerical Result Unconstrained Cardinality Spectral Efficiency Noncoherent Mimo Communication Optimal Constellation Low Snr Regime Noncoherent Mimo Comunications Average Power Constraint Moderate Peak-to-average Power Ratio Abstract Reliable Communication Finite Number Noncoherent Mimo Channel Discrete Input Existing Scheme Moderate Papr Closed Form Input Constellation Papr Constraint Finite Dimensional Nonconvex Optimization Maximum Mutual Information Input Signal Matrix Discrete Structure |
Content Type | Text |