On the Approximation of the Generalized-K PDF by a Gamma PDF Using the Moment Matching Method

It is important to assess the effect of transmit power allocation schemes on the energy consumption on random cellular networks. The energy efficiency of 5G green cellular networks with average and water-filling power allocation schemes is studied in this paper. Based on the proposed interference and achievable rate model, an energy efficiency model is proposed for MIMO random cellular networks. Furthermore, the energy efficiency with average and water-filling power allocation schemes are presented, respectively. Numerical results indicate that the maximum limits of energy efficiency are always there for MIMO random cellular networks with different intensity ratios of mobile stations (MSs) to base stations (BSs) and channel conditions. Compared with the average power allocation scheme, the water-filling scheme is shown to improve the energy efficiency of MIMO random cellular networks when channel state information (CSI) is attainable for both transmitters and receivers.

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“…1) Our analysis can also approximate fading correlation scenarios by performing moment matching to simplify to a single Gamma distribution [29].…”

Section: Interference Modelmentioning

confidence: 99%

5G green cellular networks considering power allocation schemes

Chen

Wang

et al. 2015

Sci. China Inf. Sci.

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“…Due to space limitations we will study only the MGF of the Gamma composite fading case, i.e., we consider a scenario in which shadowing and fading statistics are modeled by a Gamma and Nakagami distribution (also referred as Generalized-K [10]), respectively. Recently, in [10] an accurate approximation of the Generalized-K RV using moment matching method has been proposed to increase its analytical tractability, i.e., the Generalized-K distribution can be approximated by a simple Gamma distribution [10]. Therefore in this case M X (t)) can be derived as follows:…”

Section: Mgf Of the Cumulative Icimentioning

confidence: 99%

A Statistical Model for Uplink Intercell Interference with Power Adaptation and Greedy Scheduling

Tabassum

Yılmaz

Dawy

et al. 2012

2012 IEEE Vehicular Technology Conference (VTC Fall)

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Abstract-This paper deals with the statistical modeling of uplink inter-cell interference (ICI) considering greedy scheduling with power adaptation based on channel conditions. The derived model is implicitly generalized for any kind of shadowing and fading environments. More precisely, we develop a generic model for the distribution of ICI based on the locations of the allocated users and their transmit powers. The derived model is utilized to evaluate important network performance metrics such as ergodic capacity, average fairness and average power preservation numerically. Monte-Carlo simulation details are included to support the analysis and show the accuracy of the derived expressions. In parallel to the literature, we show that greedy scheduling with power adaptation reduces the ICI, average power consumption of users, and enhances the average fairness among users, compared to the case without power adaptation.

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“…In this case, the composite distribution has a closed form which is known as generalized-K or Gamma-Gamma distribution [11]. In order to avoid the computational difficulties, while dealing with the generalized-K RV, the authors in [12] proposed an accurate approximation of the generalized-K RV using moment matching method, i.e., the generalized-K distribution can be approximated by a simple Gamma distribution using moment matching method [12]. Therefore in this case, using (20), f X (x) can be written as follows:…”

Section: Distribution Of the Allocated User Locationsmentioning

confidence: 99%

On the modeling of uplink inter-cell interference based on proportional fair scheduling

Tabassum

Yılmaz

Dawy

et al. 2012

2012 IEEE Wireless Communications and Networking Conference Workshops (WCNCW)

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Abstract-We derive a semi-analytical expression for the uplink inter-cell interference (ICI) assuming proportional fair scheduling (with a maximum normalized signal-to-noise ratio (SNR) criterion) deployed in the cellular network. The derived expression can be customized for different models of channel statistics that can capture path loss, shadowing, and fading. Firstly, we derive an expression for the distribution of the locations of the allocated user in a given cell. Then, we derive the distribution and moment generating function of the uplink ICI from one interfering cell. Finally, we determine the moment generating function of the cumulative uplink ICI from all interfering cells. The derived expression is utilized to evaluate important network performance metrics such as outage probability and fairness among users. The accuracy of the derived expressions is verified by comparing the obtained results to Monte Carlo simulations.

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On the Approximation of the Generalized-K PDF by a Gamma PDF Using the Moment Matching Method

Cited by 37 publications

References 12 publications

5G green cellular networks considering power allocation schemes

5G green cellular networks considering power allocation schemes

A Statistical Model for Uplink Intercell Interference with Power Adaptation and Greedy Scheduling

On the modeling of uplink inter-cell interference based on proportional fair scheduling

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