What is it about?

Location-dependent performance metrics of coverage probability and spectral efficiency in hexagonal cellular networks is analyzed under shaded Rayleigh fading and the optimal setting of fractional frequency reuse (FFR) in terms of spectral efficiency is discussed under different situations. Numerical results show that when all the base stations are actively transmitting, FFR achieves approximately 20% improvement in spectral efficiency in the cell edge area under Rayleigh fading without shadowing environment. Interestingly, this improvement increases to about 30% if a 3-dB signal-to-interference-plus-noise ratio gap from Shannon capacity is further accounted in practice.

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Why is it important?

The differences between hexagonal cellular networks and Poisson cellular networks is demonstrated, which indicates the significance of base station deployment planning. The interference becomes severe with the increase of distance to the serving base station for the former, while for the latter the interference deceases if a user goes away from its serving base station. The performance in terms of coverage probability is also significant better in hexagonal cellular networks in practical situations compared to the other, which shows the reason for network planning. Based on the analysis developed in the paper, the optimal parameter settings of fractional frequency reuse (FFR) are discussed in terms of spectral efficiency and its benefit is demonstrated which depends on traffic load, severity of shadowing, and the practical SINR gap Shannon capacity.

Perspectives

The network performance of hexagonal cellular networks and Poisson cellular networks represents the upper bound and the lower bound for practical networks deployments. The analysis on Poisson cellular networks has shown recently in the literature, while the performance evaluation on hexagonal cellular networks mostly resorts to time intensive simulations. Here an analytical method is proposed to bridge this gap. In practice, locations of (macro- and micro) base stations are well planned under some constraints and hexagonal cellular networks is more popularly used, instead of the assumption base stations are randomly dropped as the model on a pure Poisson point process. Notice that building up a network by randomly picking up base station locations from several network services providers gives results close to Poisson cellular networks, which, however, cannot verify that the model of Poisson cellular network is better than that of hexagonal cellular network, and the analysis on hexagonal cellular networks is still desired in practice.

Mr Xiaobin Yang
University of Calgary

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This page is a summary of: Performance analysis of hexagonal cellular networks in fading channels, Wireless Communications and Mobile Computing, January 2015, Wiley,
DOI: 10.1002/wcm.2573.
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