Asymptotic Spectral Efficiency of the Uplink in Spatially Distributed Wireless Networks With Multi-Antenna Base Stations

Computer Science – Information Theory

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Scientific paper

The spectral efficiency of a representative uplink (with appropriate normalization) in interference-limited, spatially-distributed wireless networks with hexagonal cells and linear Minimum-Mean-Square-Error estimation is found to converge to an asymptotic limit as the numbers of base-station antennas N and wireless nodes go to infinity. A simple approximation for the mean spectral efficiency is also found for systems with both hexagonal and random cells when transmit power budgets are large. It is found that for large N in the interference-limited regime, the mean spectral efficiency is primarily a function of the ratio of the product of N and the ratio of base-station to wireless node density, indicating that it is possible to scale such networks by linearly increasing the product of the number of base-station antennas and base-station density with wireless node density. This work is useful for designers of wireless systems with high inter-cell interference because it provides simple expressions for spectral efficiency as a function of tangible system parameters like base-station and wireless node densities, and number of antennas. These results were derived combining infinite random matrix theory and stochastic geometry.

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