Modeling and Analyzing of Millimeter Wave Heterogeneous Cellular Networks by Poisson Hole Process
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Modeling and Analyzing of Millimeter Wave Heterogeneous Cellular Networks by Poisson Hole Process Mehdi Sattari1 · Aliazam Abbasfar1 Accepted: 14 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. Contrary to the prior PHP models with circular-shaped holes, we utilized circular sector holes in a random direction to capture the spatial separation between tiers in a millimeter wave (mmWave) heterogeneous cellular network (HCN). In this case, small cell base stations and macrocell base stations are distributed as a PHP and Poisson point process (PPP). Using tools from stochastic geometry, we derive approximate analytical expressions by regarding the effect of one or several holes on coverage probability. Simulation results reveal that compared to conventional PPP-modeling of HCNs, the proposed approaches can provide about 2–3 dB more accurate analysis in terms of signal-to-interference-and-noise ratio coverage probability. Moreover, some interesting insights about the effect of holes on coverage probability and the relation between proposed hole configuration and prior models with circular holes is discovered. It turns out that the analysis based on the proposed PHP model can provide a more general study than prior works. Keywords Millimeter wave cellular network · Heterogeneous cellular network · Stochastic geometry · Poisson hole process · Coverage probability
1 Introduction The explosive growth of mobile data traffic in recent years and spectrum shortage in microwave bands have motivated the use of new frequency bands for cellular communication. To that end, millimeter wave (mmWave) communications have been proposed to be an important part of the 5G mobile network to provide high data-rate communication services [1–4]. Despite massive amounts of bandwidth available in mmWave bands, they have been traditionally considered only for long distance point-to-point communication such as satellite or short range indoor communications. But recent channel measurements in [2] have been revealed that they can be used for commercial cellular systems. * Mehdi Sattari [email protected] Aliazam Abbasfar [email protected] 1
School of Electrical and Computer Engineering, Unicersity of Tehran, Tehran, Iran
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M. Sattari, A. Abbasfar
Due to fundamental propagation differences between mmWave and microwave frequencies, it is not possible to use prior models for cellular networks operating in microwave bands. Because of small wavelength and small antenna aperture, path loss in mmWave frequencies is larger than microwave frequencies. On the other hand, it is possible to use antenna arrays in mmWave transceivers to provide high array gain, by beamforming, and compensate for large path loss. Another distinguishing feature of mmWave frequencies is sensitivity to blockage. This effect needs to be included in models for analyzing mmWave networks. Channel measurements have r
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