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On the Performance of Cellular Networks with Adaptive Modulation and Energy Harvesting : A Stochastic Geometry Approach

Ho Nhut-Minh, Phan Thanh-Toan, Nguyen Sang Quang, Tu Lam-Thanh

Annals of Computer Science and Information Systems

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2022

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Vol. 33

115--120

EN

The performance of ultra-dense cellular networks considering both adaptive discrete modulation (ADM) and energy harvesting (EH) is investigated. Particularly, mobile users (MUs) are charged its battery from all ambient radio frequency (RF) signals. Based on the amount of harvested energy as well as the channel conditions, MU will actively choose an appropriate modulation scheme that not only maximizes the rate but also satisfies the quality-of-service (QoS). Moreover, we consider the spatial-temporal correlation at the signal-to-interference-plus-noise ratios (SINRs) of base stations (BSs) which are totally different from work in the literature. Several important metrics are investigated such as, occurrence probabilities of different modulation schemes (Poc), coverage probability (Pcov), and achievable spectral efficiency (ASE). Finally, the results highlight the superiority of the proposed scheme compared to the conventional fixed modulation

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Characterizing The SINR in Poisson Network Using Factorial Moment

Fadoul Moubachir Madani, Ngah Razali, Moradi Alireza

International Journal of Electronics and Telecommunications

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2019

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Vol. 65, No. 4

611--617

EN

Usually, cellular networks are modeled by placing each tier (e.g macro, pico and relay nodes) deterministically on a grid. When calculating the metric performances such as coverage probability, these networks are idealized for not considering the interference. Overcoming such limitation by realistic models is much appreciated. This paper considered two- tier twohop cellular network, each tier is consisting of two-hop relay transmission, relay nodes are relaying the message to the users that are in the cell edge. In addition, the locations of the relays, base stations (BSs), and users nodes are modeled as a point process on the plane to study the two hop downlink performance. Then, we obtain a tractable model for the k-coverage probability for the heterogeneous network consisting of the two-tier network. Stochastic geometry and point process theory have deployed to investigate the proposed two-hop scheme. The obtained results demonstrate the effectiveness and analytical tractability to study the heterogeneous performance.

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Second-order theory for iteration stable tessellations

Schreiber T., Thäle C.

Probability and Mathematical Statistics

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2012

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Vol. 32, Fasc. 2

281--300

EN

This paper deals with iteration stable (STIT) tessellations, and, more generally, with a certain class of tessellations that are infinitely divisible with respect to iteration. They form a new, rich and flexible family of space-time models considered in stochastic geometry. The previously developed martingale tools are used to study second-order properties of STIT tessellations. A general formula for the variance of the total surface area of cell boundaries inside an observation window is shown. This general expression is combined with tools from integral geometry to derive exact and asymptotic second-order formulas in the stationary and isotropic regime. Also a general formula for the pair-correlation function of the surface measure is found.

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Model angular distribution functions in CA3, CA4 and CA6 structural units of glassy systems

Bergmański G., Feliziani S., Rybicki J.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

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2007

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Vol. 11, No 3

185-195

EN

We have calculated model partial angular distribution functions (pADFs) in CA3, CA4 and CA6 structural units, i. e. an equilateral triangle with three vertical anions, A, and a central cation, C, a regular tetrahedron with four vertical anions, A, and a central cation, C and a square bipyramid with six vertical anions, A, and a central cation, C. The model pADFs were calculated employing a simple Monte Carlo procedure: the ions were being shifted at random within 3D spheres of radius r with uniform probability density and the AAA, ACA and CAA angles were calculated for each random configuration. Repeating the calculation 10(8) - 10(9) times produced smooth probability densities for the angles' values. Conventional reference data so obtained can be applied to estimate the overall degree of deformation of the considered structural units in numerically simulated materials.

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Length distribution of fuzzy-end segments

Frigio S., Cosimi G., Bergmański G., Urbańska-Galewska E., Rybicki J.

TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk

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2006

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Vol. 10, No 3

291-309

EN

We have calculated and discussed the probability density distributions of lengths of fuzzy-end segments, i. e. segments the ends of which assume random positions. We per-formed our calculations for several simple cases in 1, 2 and 3 dimensions: one end fixed, the other assuming a random position, and both ends at random positions. The obtained statistical data may serve as reference data for calculations of stochastic-geometrical properties of complex systems, such as conformations of complicated bolted construc-tions with clearances (in structure mechanics) or energy transfer processes between molecules in diluted systems (in physics).

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Random division of interval

Wisiński Krzysztof

Matematyka Stosowana : matematyka dla społeczeństwa

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1993

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Nr 36

71--74

EN

Let L1,L2,...,Ln+1 be the lengths of subintervals created by division of the interval [0,t] by n randomly and independently selected points of this interval. B. de Finetti (1964) proved that F(t;a1,⋯,an+1)=P({L1>a1,⋯,Ln+1>an+1})=t^(−n)(t−a1−...−an+1)^n, where ai≥0,i=1,...,n+1, and a1+...+an+1