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## 1 On Fundamental Trade-offs of Device-to-Device Communications in Large Wireless Networks

### Citations

3242 | The capacity of wireless networks
- Gupta, Kumar
- 1998
(Show Context)
Citation Context ...e area networks in which a fixed number of users are distributed either uniformly or on a regular grid. The model for transmission failure is generally the distance-based protocol model introduced in =-=[11]-=-. They also consider out-of-band D2D but focus mainly on the optimal asymptotic scaling laws of the networks and on designparameter optimization. For example, in [4], [10] a one-hop network in which u... |

251 | Stochastic Geometry and Wireless Networks, Volume 1: Theory
- Baccelli, Błaszczyszyn
- 2009
(Show Context)
Citation Context ...oy the discs of radius Rc and then create, inside each disc, independent Poisson processes of the same intensities as Φu and Φr. This setup can be modeled as a stationary independently marked PP [8], =-=[15]-=- Φ̃ = {(x,mx)}, where Φp = {x} is the PP of cluster centers, given by a hard-core process of intensity λp, and mx is a mark vector, containing all the RVs of the cluster at x, which are: • Nx,u: the n... |

240 | Stochastic geometry and random graphs for the analysis and design of wireless networks,”
- Haenggi, Andrews, et al.
- 2009
(Show Context)
Citation Context ...ty and backhaul load, which may have implications both economically and in terms of quality of service. To this end, we introduce a simple framework for analysis, based on a stochastic geometry model =-=[7]-=-, [8]. In this framework, users are assumed to be grouped into clusters where D2D file exchanges take place. We attempt to consider both the problem of establishing matches between nearby requesting a... |

82 |
Stochastic Geometry and its Applications, 2nd ed.
- Stoyan, Kendall, et al.
- 1995
(Show Context)
Citation Context ...d backhaul load, which may have implications both economically and in terms of quality of service. To this end, we introduce a simple framework for analysis, based on a stochastic geometry model [7], =-=[8]-=-. In this framework, users are assumed to be grouped into clusters where D2D file exchanges take place. We attempt to consider both the problem of establishing matches between nearby requesting and ca... |

70 |
Probability and Measure Theory.
- Ash, Doléans-Dade
- 2000
(Show Context)
Citation Context ...But when R = 0 we have that: S0,i = M0,i, that is, when the required rate is 0, a request is served whenever the file is available in the cluster, and hence, applying the monotone convergence theorem =-=[19]-=-: Em [ E ! 0 [ Nx,r∑ i=0 1S0,i(R) ]] ≤Em [ Nx,r∑ i=0 1M0,i ] =E[Nr]P(M), with equality as R→ 0. To derive the match probability we take the following steps: P(Mi) = 1− EVi,Nu [ P ( ∩Nuj=1{Vi /∈ Aj}|Vi... |

31 |
Femtocaching and device-to-device collaboration: A new architecture for wireless video distribution,”
- Golrezaei, Molisch, et al.
- 2013
(Show Context)
Citation Context ...many users [4]. An approach that has been recently proposed to mitigate this consists in including small distributed caching stations with a limited backhaul that can locally serve video file demands =-=[5]-=-, [6]. Another approach [4] is to take advantage of the low-cost largely-unused storage space that is available in many wireless devices to store and exchange files locally. In this way, a user that h... |

30 |
A stochastic geometry analysis of dense
- Nguyen, Baccelli, et al.
- 2007
(Show Context)
Citation Context ... metrics for a type II process is finding the reduced Laplace transform of the interference (28). This process has been used mostly to model networks using carrier-sense multiple access schemes [15], =-=[17]-=-, and even the most simple transforms are not known in closed form. For this reason, we approximate the process by a more tractable one, following the approach in [18], which in our setting is equival... |

22 |
An overview of 3gpp device-to-device proximity services,”
- Lin, Andrews, et al.
- 2014
(Show Context)
Citation Context ... in the future. Generally speaking, D2D communications are opportunistic, one-hop, short range transmissions in which the BS can be used for coordination and acts as a last case fall-back alternative =-=[1]-=-. This allows –among other things– for a higher spatial frequency reuse, energy efficiency, coverage extension, and a reduced load on the backhaul. The scope of D2D communications is very wide, from m... |

20 |
Mean interference in hard-core wireless networks,”
- Haenggi
- 2011
(Show Context)
Citation Context ...se multiple access schemes [15], [17], and even the most simple transforms are not known in closed form. For this reason, we approximate the process by a more tractable one, following the approach in =-=[18]-=-, which in our setting is equivalent to considering the cluster centers, as seen from the cluster at the origin, to be distributed as a non-homogeneous Poisson process of intensity: λp1{||x||>δ}, wher... |

18 |
Topics in Microeconomics.
- Wolfstetter
- 1999
(Show Context)
Citation Context ...[ 1O1(W0(Nm)) ]] = R E!0 [ENm [P (O1(W0(Nm))|Nm)]] . (55) The success probability can be found in the same way as (54). E. Proof of Lemma 3.2 We review the notion of second-order stochastic dominance =-=[20]-=-. If X, Y are real RVs, then X second-order stochastically dominates Y , written X ≥2 Y if, for all u > 0:∫ u 0 FX(x)dx ≤ ∫ u 0 FY (y)dy. May 16, 2014 DRAFT 29 This definition is equivalent to asking ... |

17 |
Device-to-Device Communication in Cellular Networks with Fractional Frequency Reuse.
- Zhu, Wang
- 2014
(Show Context)
Citation Context ...sion, and a reduced load on the backhaul. The scope of D2D communications is very wide, from machine-to-machine (M2M), gaming and relaying, to content distribution or even public safety networks [1], =-=[2]-=-. Among these, an important application is that of video content distribution. This is because, in the next few years, traffic from wireless and mobile devices will exceed traffic from wired devices, ... |

15 | Wireless device-to-device communications with distributed caching,” in In - Golrezaei, Dimakis, et al. - 2012 |

14 |
Femtocaching: Wireless content delivery through distributed caching helpers,”
- Shanmugam, Golrezaei, et al.
- 2013
(Show Context)
Citation Context ...users [4]. An approach that has been recently proposed to mitigate this consists in including small distributed caching stations with a limited backhaul that can locally serve video file demands [5], =-=[6]-=-. Another approach [4] is to take advantage of the low-cost largely-unused storage space that is available in many wireless devices to store and exchange files locally. In this way, a user that has re... |

12 | Optimal throughput-outage trade-off in wireless one-hop caching networks,”
- Ji, Caire, et al.
- 2013
(Show Context)
Citation Context ...asynchronous nature of VoD requests implies that, in many cases, multicasting strategies for file transmissions cannot be employed, even though a small library of videos may be accessed by many users =-=[4]-=-. An approach that has been recently proposed to mitigate this consists in including small distributed caching stations with a limited backhaul that can locally serve video file demands [5], [6]. Anot... |

12 |
Spectrum sharing for device-to-device communication in cellular networks
- Lin, Andrews, et al.
- 2014
(Show Context)
Citation Context ...nite-area constant-density model in which transmissions are impaired by path-loss and fading. Other works regarding the performance of D2D communications involving stochastic geometry models are [12]–=-=[14]-=-. In general, these works are not focused specifically on video distribution in D2D networks which we attempt to analyze, but on general traffic and general aspects of D2D communications. For this rea... |

11 | Extension of Stochastic Dominance Theory to Random Variables,
- Li, Wong
- 1999
(Show Context)
Citation Context ...x)dx ≤ ∫ u 0 FY (y)dy. May 16, 2014 DRAFT 29 This definition is equivalent to asking that for any monotone increasing concave function φ(u): E[φ(X)] ≥ E[φ(Y )]. (56) The following theorems are useful =-=[21]-=-: • If {X1, . . .Xn} and {Y1, . . . , Yn} are sets of independent real RVs and {βi}ni=1 are nonnegative real numbers: Xi ≥2 Yi ∀i ⇐⇒ n∑ i=1 βiXi ≥2 n∑ i=1 βiYi. (57) • If {X1, . . .Xn} are independent... |

8 |
Resource optimization in device-to-device cellular systems using time-frequency hopping,” arXiv preprint arXiv:1309.4062,
- Ye, Al-Shalash, et al.
- 2013
(Show Context)
Citation Context ... infinite-area constant-density model in which transmissions are impaired by path-loss and fading. Other works regarding the performance of D2D communications involving stochastic geometry models are =-=[12]-=-–[14]. In general, these works are not focused specifically on video distribution in D2D networks which we attempt to analyze, but on general traffic and general aspects of D2D communications. For thi... |

1 |
The zettabyte era. Trends and analysis,” White paper
- Systems
- 2013
(Show Context)
Citation Context ...le devices will exceed traffic from wired devices, and this will be largely related to an increase in video on demand (VoD) and Internet-to-TV downloads, which can have a multiplier effect on traffic =-=[3]-=-. The asynchronous nature of VoD requests implies that, in many cases, multicasting strategies for file transmissions cannot be employed, even though a small library of videos may be accessed by many ... |