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Low-SNR Capacity of Multiple-Antenna Systems With Statistical Channel-State Information

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4 Author(s)
Shi Jin ; Nat. Mobile Commun. Res. Lab., Southeast Univ., Nanjing, China ; McKay, M.R. ; Kai-Kit Wong ; Xiao Li

This paper investigates the capacity of double-scattering and Rician fading multiple-input-multiple-output (MIMO) channels in the low signal-to-noise ratio (SNR) regime. We first derive analytical expressions for the two key low-SNR parameters-the minimum required Eb/N0 for reliable communications and the wideband slope-assuming statistical channel state information (CSI) at the transmitter. Based on these results, we study the effects of transmit, scatter, and receive correlation, as well as the Rician K -factor. For double-scattering MIMO channels, we find that the minimum required Eb/N0 improves with increasing transmit-side correlation and is independent of the scatter and receive correlation, whereas the wideband slope degrades with increasing the scatter and receive correlation and is independent of the transmit-side correlation. For Rician MIMO channels, we show that increasing the Rician K-factor leads to an improvement in the minimum required Eb/N0 while degrading the wideband slope. We also analyze the low-SNR capacity for different levels of transmit CSI for special cases of both channels. Our results demonstrate that the additional beamforming gain due to more accurate CSI leads to a reduced minimum required Eb/N0 but does not yield improvements in the wideband slope.

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Vehicular Technology, IEEE Transactions on  (Volume:59 ,  Issue: 6 )