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Resource and location sharing in wireless networks

Clara Stegehuis, Lotte Weedage

TL;DR

An intricate relation between the co-location factor and the optimal radius to operate the network is developed, which shows that indeed co- location is an important factor to take into account.

Abstract

With more and more demand from devices to use wireless communication networks, there has been an increased interest in resource sharing among operators, to give a better link quality. However, in the analysis of the benefits of resource sharing among these operators, the important factor of co-location is often overlooked. Indeed, often in wireless communication networks, different operators co-locate: they place their base stations at the same locations due to cost efficiency. We therefore use stochastic geometry to investigate the effect of co-location on the benefits of resource sharing. We develop an intricate relation between the co-location factor and the optimal radius to operate the network, which shows that indeed co-location is an important factor to take into account. We also investigate the limiting behavior of the expected gains of sharing, and find that for unequal operators, sharing may not always be beneficial when taking co-location into account.

Resource and location sharing in wireless networks

TL;DR

An intricate relation between the co-location factor and the optimal radius to operate the network is developed, which shows that indeed co- location is an important factor to take into account.

Abstract

With more and more demand from devices to use wireless communication networks, there has been an increased interest in resource sharing among operators, to give a better link quality. However, in the analysis of the benefits of resource sharing among these operators, the important factor of co-location is often overlooked. Indeed, often in wireless communication networks, different operators co-locate: they place their base stations at the same locations due to cost efficiency. We therefore use stochastic geometry to investigate the effect of co-location on the benefits of resource sharing. We develop an intricate relation between the co-location factor and the optimal radius to operate the network, which shows that indeed co-location is an important factor to take into account. We also investigate the limiting behavior of the expected gains of sharing, and find that for unequal operators, sharing may not always be beneficial when taking co-location into account.
Paper Structure (12 sections, 6 theorems, 43 equations, 12 figures)

This paper contains 12 sections, 6 theorems, 43 equations, 12 figures.

Table of Contents

  1. Abstract
  2. Introduction
  3. Literature
  4. Model
  5. Link strength analysis
  6. Proof of Theorem thm:expected_strength
  7. Coverage
  8. Real-world scenario
  9. Conclusion

Key Result

Theorem 1

For $\tilde{\lambda}_\text{U} \pi r^2 > 1$: For large $N$ and $\beta_k = 1$ for all $k > 1$: Moreover, when $N = 2$, for all $\beta_2 \leq 1$:

Figures (12)

  • Figure 1: Every users connects to BSs within radius $r$. Example of a setting with no sharing and settings with sharing (every user connects to its own BS) and a setting with sharing and two different co-location factors $p$. There are BSs and users of two providers, denoted by the red an blue squares. Co-located BSs are denoted by a purple star.
  • Figure 2: Network under different values of $r$. Red squares are base stations and the blue dots are users. The red circle denotes the region in which users connect to that specific base station.
  • Figure 3: Average channel capacity per user for different values of $r$ with $K = 111$ dBm, $\alpha = 2$ and $w = 10$ MHz.
  • Figure 4: Simulation (markers) and the approximation (Eq. \ref{['eq:ES_approx']}, denoted by the solid lines).
  • Figure 5: Expected optimal strength for two types, with $\beta_2 = \frac{4}{5}$.
  • ...and 7 more figures

Theorems & Definitions (12)

  • Theorem 1: Expected strength
  • Theorem 2: Optimal radius and strength
  • proof
  • Corollary 1: Sharing gain $N = 2$
  • proof
  • Corollary 2: Sharing gain large $N$
  • proof
  • Lemma 1: Expectation of the number of resources at every tower
  • proof
  • Lemma 2: Tower degree
  • ...and 2 more