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Constellation Design for the Noncoherent MIMO Rayleigh Fading Channel at General SNR,” submitted to (2006)
| Content Provider | CiteSeerX |
|---|---|
| Author | Srinivasan, Shivratna Giri Varanasi, Mahesh K. |
| Abstract | Abstract—Constellation design for the noncoherent multiple-input–multiple-output (MIMO) block Rayleigh-fading channel is considered. For general signal-to-noise ratios (SNRs), starting from a given base unitary constellation of finite cardinality, and using the cutoff rate expression as the design criterion, input probabilities and per-antenna amplitudes for the constellation points are obtained via a difference of convex programming formulation. Using the mutual information as a performance metric, it is shown that the optimized constellations significantly outperform the base unitary designs from which they are obtained in the low-medium SNR regime, and indeed they also similarly outperform the mutual information achieved by isotropically distributed unitary inputs for the continuous input channel [i.e., the so-called unitary space–time capacity (USTC)]. At sufficiently high SNRs, the resulting mutual information coincides with that of the base unitary designs. Thus the optimum constellation design technique works over the entire range of SNRs. The bit energy/spectral efficiency tradeoff of the optimized constellations are also obtained, and these provide valuable insights on modulation and coding, which are especially useful for wideband channels where the SNR per degree of freedom is low. Index Terms—Capacity, constellation design, cutoff rate, difference of convex programming, global optimization, low signal-to-noise ratio (SNR), multiple-antenna systems, noncoherent channels, Rayleigh fading, unitary constellations, wideband channels. I. |
| File Format | |
| Journal | IEEE Trans. Inform. Theory |
| Language | English |
| Publisher Date | 2006-01-01 |
| Access Restriction | Open |
| Subject Keyword | Constellation Design General Snr Noncoherent Mimo Rayleigh Fading Channel Mutual Information Wideband Channel Base Unitary Design Optimized Constellation Rayleigh Fading Unitary Input Finite Cardinality Convex Programming Low-medium Snr Regime Block Rayleigh-fading Channel Noncoherent Multiple-input Multiple-output Entire Range Low Signal-to-noise Ratio Bit Energy Spectral Efficiency Tradeoff High Snrs Base Unitary Constellation Multiple-antenna System Optimum Constellation Design Technique Cutoff Rate Expression Global Optimization Input Probability Noncoherent Channel Mutual Information Coincides Continuous Input Channel So-called Unitary Space Time Capacity Index Term Capacity General Signal-to-noise Ratio Abstract Constellation Design Per-antenna Amplitude Design Criterion Valuable Insight Constellation Point Unitary Constellation Cutoff Rate |
| Content Type | Text |
| Resource Type | Article |
